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Multibody System Dynamics

Short Title: Multibody Syst. Dyn.
Publisher: Springer Netherlands, Dordrecht
ISSN: 1384-5640; 1573-272X/e
Online: http://link.springer.com/journal/volumesAndIssues/11044
Documents Indexed: 943 Publications (since 1997)
References Indexed: 709 Publications with 24,166 References.
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...and 108 more Volumes
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Authors

32 Ambrósio, Jorge A. C.
21 Eberhard, Peter
21 McPhee, John J.
18 Bauchau, Olivier A.
17 Mikkola, Aki M.
14 Cuadrado, Javier
14 Shabana, Ahmed A.
13 Gerstmayr, Johannes
12 Masarati, Pierangelo
11 Bottasso, Carlo L.
11 Brogliato, Bernard
11 Brüls, Olivier
11 Rui, Xiaoting
11 Schiehlen, Werner O.
10 Cardona, Alberto
10 Escalona, José Luis
10 Jonker, J. B.
10 Meijaard, Jacob Philippus
10 Müller, Andreas
10 Pennestrì, Ettore
10 Saha, Subir Kumar
9 Anderson, Kurt S.
9 Fisette, Paul
9 Flores, Paulo
9 Liu, Caishan
9 Seifried, Robert
8 Aarts, R. G. K. M.
8 Angeles, Jorge
8 Aoustin, Yannick
8 Asano, Fumihiko
8 Djerassi, Shlomo
8 Kövecses, József
8 Naya, Miguel Ángel
8 Negrut, Dan
7 Arnold, Martin
7 Betsch, Peter
7 Blajer, Wojciech
7 Desmet, Wim
7 Gonzalez, Manuel
7 Valášek, Michael
6 Cai, Guoping
6 Font-Llagunes, Josep M.
6 Kim, Sungsoo
6 Liu, Jinyang
6 Maißer, Peter
6 Pogorelov, Dmitry
6 Pombo, João C.
6 Qi, Zhaohui
6 Terze, Zdravko
6 Verlinden, Olivier
6 Wang, Guoping
6 Zhao, Zhen
5 Bowling, Alan P.
5 Choi, Jinhwan
5 Croce, Alessandro
5 Dmitrochenko, Oleg
5 Dopico, Daniel Dopico
5 Formalskii, Alexander M.
5 Géradin, Michel
5 Glocker, Christoph
5 Han, Shilei
5 Huston, Ronald L.
5 Kecskeméthy, Andrés
5 Liu, Xiaofeng
5 Mayo, Juana M.
5 Naets, Frank
5 Pastorino, Roland
5 Poursina, Mohammad
5 Samin, Jean-Claude
5 Sharp, Robin S.
5 Sika, Zbynek
5 Tasora, Alessandro
5 Xiang, Yujiang
5 Xu, Wenfu
5 Yoo, Wan-Suk
4 Abdel-Malek, Karim
4 Aghili, Farhad
4 Agrawal, Sunil Kumar
4 Bestle, Dieter
4 Chevallereau, Christine
4 Domínguez, Jaime
4 Frączek, Janusz
4 Gallardo-Alvarado, Jaime
4 García de Jalón, Javier
4 García Orden, Juan Carlos
4 Hansen, John M.
4 Held, Alexander
4 Jain, Abhinandan
4 Kreuzer, Edwin J.
4 Liang, Bin
4 Liu, Zhuyong
4 Lu, Yi
4 Lugrís, Urbano
4 Nachbagauer, Karin
4 Nikravesh, Parviz E.
4 Pfeiffer, Friedrich
4 Piedbœuf, Jean-Claude
4 Rahikainen, Jarkko
4 Schwab, A. L.
4 Schweizer, Bernhard
...and 1,417 more Authors

Publications by Year

Citations contained in zbMATH Open

684 Publications have been cited 4,002 times in 1,548 Documents Cited by Year
Flexible multibody dynamics: Review of past and recent developments. Zbl 0893.70008
Shabana, Ahmed A.
107
1997
Multibody system dynamics: roots and perspectives. Zbl 0901.70009
Schiehlen, W.
83
1997
Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems. Zbl 1121.70003
Arnold, Martin; Brüls, Olivier
65
2007
Definition of the slopes and the finite element absolute nodal coordinate formulation. Zbl 0890.73071
Shabana, A. A.
55
1997
Generalization of plate finite elements for absolute nodal coordinate formulation. Zbl 1137.74435
Dmitrochenko, O. N.; Pogorelov, D. Yu.
40
2003
A regularized contact model with asymmetric damping and dwell-time dependent friction. Zbl 1143.74344
Gonthier, Yves; McPhee, John; Lange, Christian; Piedbœuf, Jean-Claude
37
2004
A non-incremental finite element procedure for the analysis of large deformation of plates and shells in mechanical system applications. Zbl 1183.74295
Mikkola, Aki M.; Shabana, Ahmed A.
36
2003
A geometrically exact beam element based on the absolute nodal coordinate formulation. Zbl 1347.74049
Gerstmayr, Johannes; Matikainen, Marko K.; Mikkola, Aki M.
33
2008
On the continuous contact force models for soft materials in multibody dynamics. Zbl 1263.70007
Flores, Paulo; Machado, Margarida; Silva, Miguel T.; Martins, Jorge M.
33
2011
On the contact detection for contact-impact analysis in multibody systems. Zbl 1375.70021
Flores, Paulo; Ambrósio, Jorge
32
2010
A comparison of finite elements for nonlinear beams: the absolute nodal coordinate and geometrically exact formulations. Zbl 1142.74046
Romero, Ignacio
32
2008
Dynamic analysis for planar multibody mechanical systems with lubricated joints. Zbl 1174.70307
Flores, Paulo; Ambrósio, Jorge; Claro, J. Pimenta
31
2004
Multi-body dynamics simulation of geometrically exact Cosserat rods. Zbl 1271.74264
Lang, Holger; Linn, Joachim; Arnold, Martin
30
2011
A two-step approach for model reduction in flexible multibody dynamics. Zbl 1113.70004
Lehner, Michael; Eberhard, Peter
26
2007
Formulation and preparation for numerical evaluation of linear complementarity systems in dynamics. Zbl 1114.70008
Glocker, Christoph; Studer, Christian
26
2005
A geometric approach to solving problems of control constraints: Theory and a DAE framework. Zbl 1066.70018
Blajer, Wojciech; Kołodziejczyk, Krzysztof
25
2004
Collision with friction; part A: Newton’s hypothesis. Zbl 1163.70007
Djerassi, Shlomo
24
2009
A 3D finite element method for flexible multibody systems. Zbl 1146.70318
Gerstmayr, Johannes; Schöberl, Joachim
23
2006
Modular simulation in multibody system dynamics. Zbl 0965.70008
Kübler, R.; Schiehlen, W.
23
2000
Intelligent simulation of multibody dynamics: Space-state and descriptor methods in sequential and parallel computing environments. Zbl 0963.70003
Cuadrado, J.; Cardenal, J.; Morer, P.; Bayo, E.
22
2000
A continuous analysis method for planar multibody systems with joint clearance. Zbl 0953.70517
Ravn, Peter
22
1998
Analysis of large flexible body deformation in multibody systems using absolute coordinates. Zbl 1288.74061
von Dombrowski, Stefan
22
2002
An algorithm for compliant contact between complexly shaped bodies. Zbl 1174.70309
Hippmann, Gerhard
21
2004
A new locking-free formulation for planar, shear deformable, linear and quadratic beam finite elements based on the absolute nodal coordinate formulation. Zbl 1358.74061
Nachbagauer, Karin; Pechstein, Astrid S.; Irschik, Hans; Gerstmayr, Johannes
21
2011
Comparison of model reduction techniques for large mechanical systems. Zbl 1332.70024
Koutsovasilis, Javier P.; Beitelschmidt, M.
20
2008
Elimination of constraint violation and accuracy aspects in numerical simulation of multibody systems. Zbl 1007.70006
Blajer, Wojciech
20
2002
Simulation of unilateral constrained systems with many bodies. Zbl 1146.70317
Förg, Martin; Pfeiffer, Friedrich; Ulbrich, Heinz
20
2005
Linear algebra and numerical algorithms using dual numbers. Zbl 1128.70002
Pennestrì, E.; Stefanelli, R.
20
2007
Energy-momentum conserving integration of multibody dynamics. Zbl 1112.70003
Betsch, Peter; Uhlar, Stefan
19
2007
Collision with friction; part B: Poisson’s and Stronge’s hypotheses. Zbl 1163.70008
Djerassi, Shlomo
19
2009
Energy-preserving time integration for constrained multibody systems. Zbl 1046.70003
Lens, Elisabet V.; Cardona, Alberto; Géradin, Michel
19
2004
Study of the geometric stiffening effect: comparison of different formulations. Zbl 1067.70007
Mayo, Juana M.; García-Vallejo, Daniel; Domínguez, Jaime
18
2004
Study of the centrifugal stiffening effect using the finite element absolute nodal coordinate formulation. Zbl 1060.70011
Berzeri, Marcello; Shabana, Ahmed A.
18
2002
Modeling and solution methods for efficient real-time simulation of multibody dynamics. Zbl 0908.70003
Cuadrado, J.; Cardenal, J.; Bayo, E.
18
1997
The discrete null space method for the energy-consistent integration of constrained mechanical systems. III: Flexible multibody dynamics. Zbl 1200.70003
Leyendecker, Sigrid; Betsch, Peter; Steinmann, Paul
18
2008
Nonlinear model order reduction for flexible multibody dynamics: a modal derivatives approach. Zbl 1352.70018
Wu, Long; Tiso, Paolo
18
2016
Lie-group integration method for constrained multibody systems in state space. Zbl 1339.70037
Terze, Zdravko; Müller, Andreas; Zlatar, Dario
18
2015
Energetic consistency conditions for standard impacts. I: Newton-type inequality impact laws and Kane’s example. Zbl 1271.74365
Glocker, Christoph
18
2013
Superelements modelling in flexible multibody dynamics. Zbl 0959.74026
Cardona, Alberto
17
2000
Definition of the elastic forces in the finite element absolute nodal coordinate formulation and the floating frame of reference formulation. Zbl 1035.74502
Berzeri, Marcello; Campanelli, Marcello; Shabana, Ahmed A.
17
2001
Improved ‘order-\(n\)’ performance algorithm for the simulation of constrained multi-rigid-body dynamic systems. Zbl 1139.70304
Anderson, K. S.; Critchley, J. H.
17
2003
Stabilization methods for the integration of DAE in the presence of redundant constraints. Zbl 1137.70303
Neto, Maria Augusta; Ambrósio, Jorge
17
2003
Dynamics of a large scale rigid-flexible multibody system composed of composite laminated plates. Zbl 1358.70016
Liu, Cheng; Tian, Qiang; Hu, Haiyan
17
2011
Large deflection analysis of a thin plate: computer simulations and experiments. Zbl 1143.74339
Yoo, Wan-Suk; Lee, Jeong-Han; Park, Su-Jin; Sohn, Jeong-Hyun; Pogorelov, Dmitry; Dmitrochenko, Oleg
17
2004
Sensitivity analysis of rigid-flexible multibody systems. Zbl 0892.73035
Dias, J. M. P.; Pereira, M. S.
16
1997
A geometric unification of constrained system dynamics. Zbl 0905.70008
Blajer, Wojciech
16
1997
A neural-genetic (NN-GA) approach for optimising mechanisms having joints with clearance. Zbl 1341.70003
Erkaya, Selçuk; Uzmay, İbrahim
16
2008
Finite element method in dynamics of flexible multibody systems: Modeling of holonomic constraints and energy conserving integration schemes. Zbl 0972.74064
Ibrahimbegović, Adnan; Mamouri, Saïd; Taylor, Robert L.; Chen, Alecia J.
16
2000
Improved bushing models for general multibody systems and vehicle dynamics. Zbl 1272.70034
Ambrósio, Jorge; Verissimo, Paulo
15
2009
Research trends in multibody system dynamics. Zbl 1118.70007
Schiehlen, W.
15
2007
Twenty-five years of natural coordinates. Zbl 1180.70014
García de Jalón, Javier
15
2007
Dynamics of flexible multibody systems using virtual work and linear graph theory. Zbl 1003.74030
Shi, Pengfei; McPhee, John
15
2000
A new approach for the dynamic analysis of parallel manipulators. Zbl 0916.70005
Wang, Jiegao; Gosselin, Clément M.
15
1998
Advances in the modelling of motorcycle dynamics. Zbl 1121.70008
Sharp, R. S.; Evangelou, S.; Limebeer, D. J. N.
15
2004
A DAE approach to flexible multibody dynamics. Zbl 1043.70003
Betsch, P.; Steinmann, P.
15
2002
Modeling and control of crank-slider mechanism with multiple clearance joints. Zbl 1372.70032
Yaqubi, Sadeq; Dardel, Morteza; Daniali, Hamidreza Mohammadi; Ghasemi, Mohammad Hassan
15
2016
On the effect of multirate co-simulation techniques in the efficiency and accuracy of multibody system dynamics. Zbl 1225.70006
González, Francisco; Naya, Miguel Ángel; Luaces, Alberto; González, Manuel
15
2011
Modeling multibody systems with uncertainties. II: Numerical applications. Zbl 1146.70331
Sandu, Corina; Sandu, Adrian; Ahmadian, Mehdi
14
2006
Multiphysics modeling and optimization of mechatronic multibody systems. Zbl 1178.70075
Samin, J. C.; Brüls, O.; Collard, J. F.; Sass, L.; Fisette, P.
14
2007
Simulation process of flexible multibody systems with non-modal model order reduction techniques. Zbl 1243.70002
Fehr, Jörg; Eberhard, Peter
14
2011
Impacts in multibody systems: modeling and experiments. Zbl 1347.70019
Modarres Najafabadi, Seyed Ali; Kövecses, József; Angeles, Jorge
13
2008
Determination of wheel-rail contact points with semianalytic methods. Zbl 1347.70017
Malvezzi, Monica; Meli, Enrico; Falomi, Stefano; Rindi, Andrea
13
2008
On the use of moment-matching to build reduced order models in flexible multibody dynamics. Zbl 1147.70304
Lehner, Michael; Eberhard, Peter
13
2006
Recursive formulations for multibody systems with frictional joints based on the interaction between bodies. Zbl 1376.70016
Qi, Zhaohui; Xu, Yongsheng; Luo, Xiaoming; Yao, Shengji
13
2010
A mathematical framework for rigid contact detection between quadric and superquadric surfaces. Zbl 1376.70012
Lopes, Daniel S.; Silva, Miguel T.; Ambrósio, Jorge A.; Flores, Paulo
13
2010
Poisson modes and general nonlinear constitutive models in the large displacement analysis of beams. Zbl 1178.74102
Maqueda, Luis G.; Shabana, Ahmed A.
13
2007
On the trajectory tracking control for an SCARA robot manipulator in a fractional model driven by induction motors with PSO tuning. Zbl 1407.70014
Coronel-Escamilla, A.; Torres, F.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Guerrero-Ramírez, G. V.
13
2018
On representations and parameterizations of motion. Zbl 0980.70004
Borri, Marco; Trainelli, Lorenzo; Bottasso, Carlo L.
13
2000
Complex flexible multibody systems with application to vehicle dynamics. Zbl 1169.74420
Ambrósio, Jorge A. C.; Gonçalves, João P. C.
13
2001
Three approaches for elastodynamic contact in multibody systems. Zbl 1174.70312
Schiehlen, W.; Seifried, R.
13
2004
Penalty approximation for dynamical systems submitted to multiple non-smooth constraints. Zbl 1314.70018
Paoli, Laetitia; Schatzman, Michelle
13
2002
Multibody dynamics simulation of planar linkages with Dahl friction. Zbl 1111.70005
Pennestrì, E.; Valentini, P. P.; Vita, L.
12
2007
Kinematic data consistency in the inverse dynamic analysis of biomechanical systems. Zbl 1246.74034
Silva, M. P. T.; Ambrósio, J. A. C.
12
2002
Discrete time transfer matrix method for multibody system dynamics. Zbl 1146.70323
Rui, Xiaoting; He, Bin; Lu, Yuqi; Lu, Wenguang; Wang, Guoping
12
2005
An efficient and robust contact algorithm for a compliant contact force model between bodies of complex geometry. Zbl 1192.70005
Choi, Juhwan; Ryu, Han Sik; Kim, Chang Wan; Choi, Jin Hwan
12
2010
Application of a wheel-rail contact model to railway dynamics in small radius curved tracks. Zbl 1210.70010
Pombo, João C.; Ambrósio, Jorge A. C.
12
2008
Initial condition correction in multibody dynamics. Zbl 1120.70008
Nikravesh, Parviz E.
12
2007
Interpolation of rotation and motion. Zbl 1293.74404
Bauchau, Olivier A.; Han, Shilei
12
2014
A unified formulation for mechanical joints with and without clearances/bushings and/or stops in the framework of multibody systems. Zbl 1400.70017
Ambrósio, Jorge; Pombo, João
12
2018
Contact conditions for cylindrical, prismatic, and screw joints in flexible multibody systems. Zbl 0985.70003
Bauchau, Olivier A.; Bottasso, Carlo L.
12
2001
Analysis of joint clearances in multibody systems. Zbl 1284.70011
García Orden, J. C.
12
2005
Forward dynamics of open-loop multibody mechanisms using an efficient recursive algorithm based on canonical momenta. Zbl 1024.70004
Naudet, Joris; Lefeber, Dirk; Daerden, Frank; Terze, Zdravko
12
2003
Validation of flexible multibody dynamics beam formulations using benchmark problems. Zbl 1359.70060
Bauchau, Olivier A.; Betsch, Peter; Cardona, Alberto; Gerstmayr, Johannes; Jonker, Ben; Masarati, Pierangelo; Sonneville, Valentin
12
2016
Multibody dynamics with redundant constraints and singular mass matrix: existence, uniqueness, and determination of solutions for accelerations and constraint forces. Zbl 1274.70010
de Jalón, J. García; Gutiérrez-López, M. D.
12
2013
Energetically consistent simulation of simultaneous impacts and contacts in multibody systems with friction. Zbl 1189.70006
Bowling, Alan; Flickinger, Daniel Montrallo; Harmeyer, Sean
11
2009
Simulation model of general human and humanoid motion. Zbl 1160.70319
Vukobratović, Miomir; Potkonjak, Veljko; Babković, Kalman; Borovac, Branislav
11
2007
Modeling multibody systems with uncertainties. I: Theoretical and computational aspects. Zbl 1146.70330
Sandu, Adrian; Sandu, Corina; Ahmadian, Mehdi
11
2006
Transfer matrix method for linear multibody system. Zbl 1181.70010
Rui, Xiaoting; Wang, Guoping; Lu, Yuqi; Yun, Laifeng
11
2008
Leveraging parallel computing in multibody dynamics. Zbl 1344.70003
Negrut, Dan; Tasora, Alessandro; Mazhar, Hammad; Heyn, Toby; Hahn, Philipp
11
2012
Conserving properties in constrained dynamics of flexible multibody systems. Zbl 0972.70009
García Orden, Juan C.; Goicolea, José M.
11
2000
Computational schemes for flexible, nonlinear multi-body systems. Zbl 0956.74078
Bauchau, Olivier A.
11
1998
Impulsive synchronization motion in networked open-loop multibody systems. Zbl 1266.70049
Wu, Xing-Jie; Zhou, Jin; Xiang, Lan; Lin, Chun-Nan; Zhang, Hua
11
2013
A Lagrange-Eulerian formulation of an axially moving beam based on the absolute nodal coordinate formulation. Zbl 1274.74156
Pechstein, Astrid; Gerstmayr, Johannes
11
2013
A modeling of sliding joint on one-dimensional flexible medium. Zbl 1287.70003
Hong, Difeng; Ren, Gexue
11
2011
A scalable parallel method for large collision detection problems. Zbl 1287.70004
Mazhar, Hammad; Heyn, Toby; Negrut, Dan
11
2011
A contact force solution for non-colliding contact dynamics simulation. Zbl 1207.70006
Sharf, Inna; Zhang, Yuning
11
2006
Augmented Lagrangian formulation: Geometrical interpretation and application to systems with singularities and redundancy. Zbl 1022.70004
Blajer, Wojciech
10
2002
A numerical procedure for inferring from experimental data the optimization cost functions using a multibody model of the neuro-musculoskeletal system. Zbl 1147.70317
Bottasso, Carlo L.; Prilutsky, Boris I.; Croce, Alessandro; Imberti, Enrico; Sartirana, Stefano
10
2006
MBS approach to generate equations of motions for HiL-simulations in vehicle dynamics. Zbl 1146.70324
Rulka, Wolfgang; Pankiewicz, Eli
10
2005
Experimental investigation of joint clearance effects on the dynamics of a slider-crank mechanism. Zbl 1375.70008
Erkaya, Selçuk; Uzmay, İbrahim
10
2010
A mortar formulation for frictionless line-to-line beam contact. Zbl 1492.74117
Bosten, Armin; Cosimo, Alejandro; Linn, Joachim; Brüls, Olivier
1
2022
Contact mechanics for dynamical systems: a comprehensive review. Zbl 1492.70006
Flores, Paulo
1
2022
Performance of implicit A-stable time integration methods for multibody system dynamics. Zbl 1492.70008
Zhang, Huimin; Zhang, Runsen; Zanoni, Andrea; Masarati, Pierangelo
1
2022
Explicit parallel co-simulation approach: analysis and improved coupling method based on H-infinity synthesis. Zbl 07387248
Chen, Weitao; Ran, Shenhai; Wu, Canhui; Jacobson, Bengt
3
2021
Wheel-rail contact simulation with lookup tables and KEC profiles: a comparative study. Zbl 1487.74096
Escalona, José L.; Yu, Xinxin; Aceituno, Javier F.
2
2021
On the use of multibody dynamics techniques to simulate fluid dynamics and fluid-solid interaction problems. Zbl 1490.76168
Rakhsha, M.; Yang, L.; Hu, W.; Negrut, D.
2
2021
A referenced nodal coordinate formulation. Zbl 1470.70002
Ren, Hui; Yang, Kai
2
2021
Modal reduction procedures for flexible multibody dynamics. Zbl 1470.70012
Sonneville, Valentin; Scapolan, Matteo; Shan, Minghe; Bauchau, Olivier A.
2
2021
Correlation dimension and bifurcation analysis for the planar slider-crank mechanism with multiple clearance joints. Zbl 1470.70005
Wu, Xuze; Sun, Yu; Wang, Yu; Chen, Yu
2
2021
Detailed wheel/rail geometry processing with the conformal contact approach. Zbl 1475.74103
Vollebregt, Edwin
2
2021
Time integration of rigid bodies modelled with three rotation parameters. Zbl 1489.70001
Holzinger, Stefan; Gerstmayr, Johannes
1
2021
A collision control strategy for detumbling a non-cooperative spacecraft by a robotic arm. Zbl 1483.70030
Liu, Xiao-Feng; Zhang, Xiao-Yu; Cai, Guo-Ping; Wang, Ming-Ming
1
2021
Nonsmooth spatial frictional contact dynamics of multibody systems. Zbl 1483.70028
Wang, Kun; Tian, Qiang; Hu, Haiyan
1
2021
Research on mechanism and control methods of carbody chattering of an electric multiple-unit train. Zbl 1483.70045
Gong, Dao; Liu, Guangyu; Zhou, Jinsong
1
2021
Optimizing wheel profiles and suspensions for railway vehicles operating on specific lines to reduce wheel wear: a case study. Zbl 1465.74136
Ye, Yunguang; Sun, Yu; Dongfang, Shiping; Shi, Dachuan; Hecht, Markus
1
2021
Integrated vibration suppression attitude control for flexible spacecrafts with internal liquid sloshing. Zbl 1466.70042
Colagrossi, Andrea; Lavagna, Michèle
1
2021
Modeling viscoelastic behavior in flexible multibody systems. Zbl 1466.70008
Bauchau, Olivier A.; Nemani, Nishant
1
2021
Dynamic modeling, analysis, and comparative study of a quadruped with bio-inspired robotic tails. Zbl 1466.70002
Liu, Yujiong; Ben-Tzvi, Pinhas
1
2021
Simultaneous path-following and vibration control for uncertain nonlinear flexible mechanical systems without dependency on oscillatory mathematical model. Zbl 1470.93037
Homaeinezhad, M. R.; Yaqubi, S.; Gholyan, H. M.
1
2021
Port-Hamiltonian flexible multibody dynamics. Zbl 1470.70009
Brugnoli, Andrea; Alazard, Daniel; Pommier-Budinger, Valérie; Matignon, Denis
1
2021
Comparing double-step and penalty-based semirecursive formulations for hydraulically actuated multibody systems in a monolithic approach. Zbl 1472.70019
Jaiswal, Suraj; Rahikainen, Jarkko; Khadim, Qasim; Sopanen, Jussi; Mikkola, Aki
1
2021
Implementation of a non-Hertzian contact model for railway dynamic application. Zbl 1433.74083
Magalhães, Hugo; Marques, Filipe; Liu, Binbin; Antunes, Pedro; Pombo, João; Flores, Paulo; Ambrósio, Jorge; Piotrowski, Jerzy; Bruni, Stefano
7
2020
An automated methodology to select functional co-simulation configurations. Zbl 1437.70012
Rahikainen, Jarkko; González, Francisco; Naya, Miguel Ángel
7
2020
On the cosimulation of multibody systems and hydraulic dynamics. Zbl 1457.70019
Rahikainen, Jarkko; González, Francisco; Naya, Miguel Ángel; Sopanen, Jussi; Mikkola, Aki
6
2020
A concise nodal-based derivation of the floating frame of reference formulation for displacement-based solid finite elements. Avoiding inertia shape integrals. Zbl 1456.70008
Zwölfer, Andreas; Gerstmayr, Johannes
6
2020
Effect of applied force cosimulation schemes on recoupled vehicle/track problems. Zbl 1457.70003
Olivier, Bryan; Verlinden, Olivier; Kouroussis, Georges
5
2020
A new model of the contact force for the collision between two solid bodies. Zbl 1457.74157
Safaeifar, Hossein; Farshidianfar, Anooshirvan
4
2020
Billion degree of freedom granular dynamics simulation on commodity hardware via heterogeneous data-type representation. Zbl 1457.70002
Kelly, Conlain; Olsen, Nicholas; Negrut, Dan
4
2020
Optimal damping coefficient for a class of continuous contact models. Zbl 1457.70018
Poursina, Mohammad; Nikravesh, Parviz E.
3
2020
Stability analysis for the Whipple bicycle dynamics. Zbl 1437.70008
Xiong, Jiaming; Wang, Nannan; Liu, Caishan
3
2020
State-of-the-art and challenges of railway and road vehicle dynamics with multibody dynamics approaches. Zbl 1456.70010
Bruni, Stefano; Meijaard, J. P.; Rill, Georg; Schwab, A. L.
3
2020
Railway multibody simulation with the knife-edge-equivalent wheel-rail constraint equations. Zbl 1466.70009
Escalona, José L.; Aceituno, Javier F.; Urda, Pedro; Balling, Ole
3
2020
A nonsmooth contact dynamic algorithm based on the symplectic method for multibody system analysis with unilateral constraints. Zbl 1456.70016
Peng, Haijun; Song, Ningning; Kan, Ziyun
3
2020
Contact control for grasping a non-cooperative satellite by a space robot. Zbl 1457.70022
Liu, Xiao-Feng; Cai, Guo-Ping; Wang, Ming-Ming; Chen, Wu-Jun
2
2020
A general formulation for the contact between superellipsoid surfaces and nodal points. Zbl 1457.70013
Ambrósio, Jorge
2
2020
Multibody dynamics simulation of thin-walled four-point contact ball bearing with interactions of balls, ring raceways and crown-type cage. Zbl 1437.70014
Yao, Tingqiang; Wang, Lihua; Liu, Xiaobao; Huang, Yayu
2
2020
Energetically consistent model of slipping and sticking frictional impacts in multibody systems. Zbl 1437.70009
Aghili, Farhad
2
2020
Modification of friction for straightforward implementation of friction law. Zbl 1437.70020
Chen, Shi; Zhang, Zhinan
2
2020
Adjoint sensitivity analysis of hybrid multibody dynamical systems. Zbl 1456.70011
Corner, Sebastien; Sandu, Adrian; Sandu, Corina
2
2020
Modelling and simulation of coupled multibody systems and granular media using the non-smooth contact dynamics approach. Zbl 1456.70012
Docquier, Nicolas; Lantsoght, Olivier; Dubois, Frédéric; Brüls, Olivier
2
2020
Modeling muscle wrapping and mass flow using a mass-variable multibody formulation. Zbl 1456.70013
Guo, Jianqiao; Huang, Hongshi; Yu, Yuanyuan; Liang, Zixuan; Ambrósio, Jorge; Zhao, Zhihua; Ren, Gexue; Ao, Yingfang
2
2020
Two-dimensional team lifting prediction with floating-base box dynamics and grasping force coupling. Zbl 1457.70020
Xiang, Yujiang; Arefeen, Asif
1
2020
Muscle torque generators in multibody dynamic simulations of optimal sports performance. Zbl 1457.70016
Inkol, Keaton A.; Brown, Colin; McNally, William; Jansen, Conor; McPhee, John
1
2020
Predictive dynamic simulation of olympic track cycling standing start using direct collocation optimal control. Zbl 1456.70042
Jansen, Conor; McPhee, John
1
2020
Comparison of direct collocation optimal control to trajectory optimization for parameter identification of an ellipsoidal foot-ground contact model. Zbl 1458.92012
Ezati, Mahdokht; Brown, Peter; Ghannadi, Borna; McPhee, John
1
2020
A robust nonsmooth generalized-\(\alpha\) scheme for flexible systems with impacts. Zbl 1437.70011
Cosimo, Alejandro; Galvez, Javier; Cavalieri, Federico J.; Cardona, Alberto; Brüls, Olivier
1
2020
The contact problem in Lagrangian systems with redundant frictional bilateral and unilateral constraints and singular mass matrix. The all-sticking contacts problem. Zbl 1437.70010
Brogliato, Bernard; Kovecses, Jozsef; Acary, Vincent
1
2020
An improved implicit method for mechanical systems with set-valued friction. Zbl 1437.70022
Zhang, Runsen; Yu, Yang; Wang, Qi; Wang, Qingyun
1
2020
A Kane’s based algorithm for closed-form dynamic analysis of a new design of a 3RSS-S spherical parallel manipulator. Zbl 1456.70022
Enferadi, Javad; Jafari, Keyvan
1
2020
A compact form dynamics controller for a high-DOF tetrapod-on-wheel robot with one manipulator via null space based convex optimization and compatible impedance controllers. Zbl 1456.70021
Du, Wenqian; Benamar, Faïz
1
2020
Trajectory planning of a redundant planar manipulator based on joint classification and particle swarm optimization algorithm. Zbl 1456.70006
Yu, Luchuan; Wang, Kaiqiang; Zhang, Qinhe; Zhang, Jianhua
1
2020
A physics-based and data-driven hybrid modeling method for accurately simulating complex contact phenomenon. Zbl 1453.74067
Liu, Qian; Liang, Jianxun; Ma, Ou
1
2020
Reanalysis-based fast solution algorithm for flexible multi-body system dynamic analysis with floating frame of reference formulation. Zbl 1456.70014
Huang, Guanxin; Zhu, Weidong; Yang, Zhijun; Feng, Cheng; Chen, Xin
1
2020
Preconditioning strategies for linear dependent generalized component modes in 3D flexible multibody dynamics. Zbl 1420.70004
Zwölfer, Andreas; Gerstmayr, Johannes
6
2019
Modeling and analysis of multiple impacts in multibody systems under unilateral and bilateral constrains based on linear projection operators. Zbl 1428.74170
Aghili, Farhad
4
2019
Adaptive sliding mode control of \(n\) flexible-joint robot manipulators in the presence of structured and unstructured uncertainties. Zbl 1427.70027
Zaare, Saeed; Soltanpour, Mohammad Reza; Moattari, Mazda
3
2019
On the relevance of inertia related terms in the equations of motion of a flexible body in the floating frame of reference formulation. Zbl 1456.70019
Witteveen, Wolfgang; Pichler, Florian
3
2019
A review of simulation methods for human movement dynamics with emphasis on gait. Zbl 1423.70004
Ezati, Mahdokht; Ghannadi, Borna; McPhee, John
3
2019
An efficient formulation for flexible multibody dynamics using a condensation of deformation coordinates. Zbl 1423.70027
Han, Jong-Boo; Kim, Jin-Gyun; Kim, Sung-Soo
3
2019
A robust two-stage active disturbance rejection control for the stabilization of a riderless bicycle. Zbl 1412.70015
Baquero-Suárez, Mauro; Cortés-Romero, John; Arcos-Legarda, Jaime; Coral-Enriquez, Horacio
3
2019
A modal derivatives enhanced Rubin substructuring method for geometrically nonlinear multibody systems. Zbl 1412.70014
Wu, Long; Tiso, Paolo; Tatsis, Konstantinos; Chatzi, Eleni; van Keulen, Fred
3
2019
Dry friction distributed over a contact patch between a rigid body and a visco-elastic plane. Zbl 1412.70007
Zobova, Alexandra A.
3
2019
Active detumbling technology for high dynamic non-cooperative space targets. Zbl 1420.70002
Liu, Yuan-Qing; Yu, Zhang-Wei; Liu, Xiao-Feng; Cai, Guo-Ping
2
2019
Tensegrity system dynamics with rigid bars and massive strings. Zbl 1442.74096
Goyal, Raman; Skelton, Robert E.
2
2019
Dynamics analysis of planar multi-DOF mechanism with multiple revolute clearances and chaos identification of revolute clearance joints. Zbl 1427.70007
Chen, Xiulong; Jiang, Shuai; Wang, Suyu; Deng, Yu
2
2019
An approach for modelling a clearance revolute joint with a constantly updating wear profile in a multibody system: simulation and experiment. Zbl 1461.70010
Xu, Li Xin; Han, Yun Cheng; Dong, Qing Bing; Jia, Hai Li
2
2019
Optimal two-dimensional motions of a body controlled by a moving internal mass. Zbl 1415.70010
Chernousko, Felix
2
2019
Determining power consumption using neural model in multibody systems with clearance and flexible joints. Zbl 1423.70025
Erkaya, Selçuk
2
2019
A geometric optimization method for the trajectory planning of flexible manipulators. Zbl 1427.70025
Lismonde, Arthur; Sonneville, Valentin; Brüls, Olivier
1
2019
Rigid vs compliant contact: an experimental study on biped walking. Zbl 1461.70011
Khadiv, Majid; Moosavian, S. Ali A.; Yousefi-Koma, Aghil; Sadedel, Majid; Ehsani-Seresht, Abbas; Mansouri, Saeed
1
2019
Dynamic modeling for silicone beams using higher-order ANCF beam elements and experiment investigation. Zbl 1416.74064
Xu, Qiping; Liu, Jinyang; Qu, Lizheng
1
2019
Attitude dynamics of coupled spacecraft undergoing fuel transfer. Zbl 1415.70039
Zheng, Heming; Zhai, Guang
1
2019
ANFIS-based an adaptive continuous sliding-mode controller for robot manipulators in operational space. Zbl 1423.70034
Asar, Mohammed F.; Elawady, Wael M.; Sarhan, Amany M.
1
2019
Modeling and planning of a space robot for capturing tumbling target by approaching the dynamic closest point. Zbl 1423.70036
Xu, Wenfu; Hu, Zhonghua; Yan, Lei; Yuan, Han; Liang, Bin
1
2019
Rocking dynamics of a planar rectangular block on a rigid surface. Zbl 1412.70006
Zhao, Zhen; Liu, Caishan; Wang, Nannan
1
2019
On the trajectory tracking control for an SCARA robot manipulator in a fractional model driven by induction motors with PSO tuning. Zbl 1407.70014
Coronel-Escamilla, A.; Torres, F.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Guerrero-Ramírez, G. V.
13
2018
A unified formulation for mechanical joints with and without clearances/bushings and/or stops in the framework of multibody systems. Zbl 1400.70017
Ambrósio, Jorge; Pombo, João
12
2018
Multibody systems with 3D revolute joints with clearances: an industrial case study with an experimental validation. Zbl 1400.70016
Akhadkar, Narendra; Acary, Vincent; Brogliato, Bernard
7
2018
Flexible multibody dynamics using coordinate reduction improved by dynamic correction. Zbl 1425.70012
Kim, Jin-Gyun; Han, Jong-Boo; Lee, Hanmin; Kim, Sung-Soo
6
2018
Screw and Lie group theory in multibody dynamics. Zbl 1400.70020
Müller, Andreas
6
2018
Screw and Lie group theory in multibody kinematics. Motion representation and recursive kinematics of tree-topology systems. Zbl 1400.70021
Müller, Andreas
5
2018
A 3D ellipsoidal volumetric foot-ground contact model for forward dynamics. Zbl 1425.70003
Brown, Peter; McPhee, John
5
2018
Implicit co-simulation method for constraint coupling with improved stability behavior. Zbl 1407.70001
Meyer, T.; Li, P.; Lu, D.; Schweizer, B.
5
2018
Combined semi-recursive formulation and lumped fluid method for monolithic simulation of multibody and hydraulic dynamics. Zbl 1409.70002
Rahikainen, Jarkko; Mikkola, Aki; Sopanen, Jussi; Gerstmayr, Johannes
5
2018
On the use of absolute interface coordinates in the floating frame of reference formulation for flexible multibody dynamics. Zbl 1407.70008
Ellenbroek, Marcel; Schilder, Jurnan
4
2018
Dynamic modeling and vibration characteristics analysis of flexible-link and flexible-joint space manipulator. Zbl 1423.70031
Meng, Deshan; She, Yu; Xu, Wenfu; Lu, Weining; Liang, Bin
4
2018
Dynamic contact model of shell for multibody system applications. Zbl 1412.70012
Shi, Jiabei; Liu, Zhuyong; Hong, Jiazhen
4
2018
A regularized approach for frictional impact dynamics of flexible multi-link manipulator arms considering the dynamic stiffening effect. Zbl 1407.70016
Qian, Zhenjie; Zhang, Dingguo; Jin, Chengqian
3
2018
Real-time trajectory control of an overhead crane using servo-constraints. Zbl 1418.70012
Otto, Svenja; Seifried, Robert
3
2018
Analytic solution for planar indeterminate impact problems using an energy constraint. Zbl 1400.70019
Chatterjee, Abhishek; Rodriguez, Adrian; Bowling, Alan
3
2018
Modelling of flexible bodies with minimal coordinates by means of the corotational formulation. Zbl 1425.70007
Verlinden, Olivier; Huynh, Hoai Nam; Kouroussis, Georges; Rivière-Lorphèvre, Edouard
3
2018
Perspectives on Euler angle singularities, gimbal lock, and the orthogonality of applied forces and applied moments. Zbl 1423.70012
Hemingway, Evan G.; O’Reilly, Oliver M.
2
2018
Interface reduction methods for mechanical systems with elastohydrodynamic lubricated revolute joints. Zbl 1419.74182
Krinner, Andreas; Rixen, Daniel J.
2
2018
Walking of biped with passive exoskeleton: evaluation of energy consumption. Zbl 1391.92011
Aoustin, Y.; Formalskii, A. M.
2
2018
Feedback control of multibody systems with joint clearance and dynamic backlash: a tutorial. Zbl 1400.70018
Brogliato, Bernard
2
2018
The discrete adjoint method for parameter identification in multibody system dynamics. Zbl 1425.70013
Lauß, Thomas; Oberpeilsteiner, Stefan; Steiner, Wolfgang; Nachbagauer, Karin
2
2018
Online prediction model for wheel wear considering track flexibility. Zbl 1408.74043
Tao, Gongquan; Ren, Dexiang; Wang, Linfeng; Wen, Zefeng; Jin, Xuesong
2
2018
Dynamics analysis and fuzzy anti-swing control design of overhead crane system based on Riccati discrete time transfer matrix method. Zbl 1407.70011
Rong, Bao; Rui, Xiaoting; Tao, Ling; Wang, Guoping
1
2018
Validation of multibody modeling and simulation using an instrumented bicycle: from the computer to the road. Zbl 1423.70026
Escalona, José L.; Kłodowski, Adam; Muñoz, Sergio
1
2018
Development of an efficient calculation procedure for elastic forces in the ANCF beam element by using a constrained formulation. Zbl 1425.74261
Hara, Kensuke; Watanabe, Masahiro
1
2018
...and 584 more Documents
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Cited by 2,596 Authors

31 Eberhard, Peter
25 Ambrósio, Jorge A. C.
21 Mikkola, Aki M.
21 Shabana, Ahmed A.
19 Betsch, Peter
19 Brüls, Olivier
19 Gerstmayr, Johannes
17 Bauchau, Olivier A.
16 McPhee, John J.
16 Rui, Xiaoting
16 Tian, Qiang
15 Brogliato, Bernard
15 Desmet, Wim
14 Liu, Jinyang
14 Müller, Andreas
14 Negrut, Dan
13 Anderson, Kurt S.
13 Hu, Haiyan
13 Liu, Caishan
13 Masarati, Pierangelo
12 Arnold, Martin
12 Escalona, José Luis
12 Seifried, Robert
11 Cuadrado, Javier
11 Flores, Paulo
11 Liu, Cheng
11 Xiang, Yujiang
10 Arora, Jasbir S.
10 Bottasso, Carlo L.
10 Leyendecker, Sigrid
10 Naets, Frank
10 Ren, Gexue
10 Terze, Zdravko
9 Abdel-Malek, Karim
9 Cai, Guoping
9 Glocker, Christoph
9 Hong, Jiazhen
9 Krenk, Steen
9 Leine, Remco I.
9 Tasora, Alessandro
8 Cardona, Alberto
8 Gonzalez, Manuel
8 Heirman, Gert H. K.
8 Kövecses, József
8 Qi, Zhaohui
8 Saha, Subir Kumar
8 Schiehlen, Werner O.
7 Dmitrochenko, Oleg
7 García-Vallejo, Daniel
7 Han, Shilei
7 He, Bin
7 Kim, Jin-Gyun
7 Korayem, Moharam Habibnejad
7 Matikainen, Marko K.
7 Poursina, Mohammad
7 Schweizer, Bernhard
7 Wang, Guoping
7 Xu, Jian
7 Zhou, Jin
6 Aarts, R. G. K. M.
6 Aoustin, Yannick
6 Blajer, Wojciech
6 Dopico, Daniel Dopico
6 Fehr, Jörg
6 Gallardo-Alvarado, Jaime
6 Hesch, Christian
6 Jonker, J. B.
6 Kim, Joo-Han
6 Linn, Joachim
6 Liu, Xiaofeng
6 Liu, Zhuyong
6 Lugrís, Urbano
6 Mazhar, Hammad
6 Meijaard, Jacob Philippus
6 Meli, Enrico
6 Miller, Boris Mikhaĭlovich
6 Naya, Miguel Ángel
6 Peng, Haijun
6 Pennestrì, Ettore
6 Rong, Bao
6 Yang, Jingzhou
6 Yoo, Wan-Suk
6 Zhang, Yunqing
6 Zhao, Zhen
6 Zlatar, Dario
5 Acary, Vincent
5 Argatov, Ivan I.
5 Bowling, Alan P.
5 Cao, Dengqing
5 Chen, Xiulong
5 Chevallereau, Christine
5 Cleghorn, William L.
5 Croce, Alessandro
5 Djerassi, Shlomo
5 Fang, Hongbin
5 Fisette, Paul
5 Font-Llagunes, Josep M.
5 Frączek, Janusz
5 Held, Alexander
5 Irschik, Hans
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Cited in 178 Journals

553 Multibody System Dynamics
98 Computer Methods in Applied Mechanics and Engineering
96 Nonlinear Dynamics
51 International Journal for Numerical Methods in Engineering
49 Applied Mathematical Modelling
41 Acta Mechanica
39 Mechanism and Machine Theory
31 European Journal of Mechanics. A. Solids
30 Computational Mechanics
30 Acta Mechanica Sinica
23 Meccanica
23 Mathematical Problems in Engineering
22 Mathematical and Computer Modelling of Dynamical Systems
13 Archive of Applied Mechanics
12 International Journal of Control
12 Journal of the Franklin Institute
12 Journal of Computer and Systems Sciences International
11 Communications in Nonlinear Science and Numerical Simulation
10 Applied Mathematics and Computation
8 Journal of Computational Physics
8 Regular and Chaotic Dynamics
8 Structural and Multidisciplinary Optimization
7 Journal of Computational and Applied Mathematics
7 Mathematics and Mechanics of Solids
7 Archives of Computational Methods in Engineering
6 Advances in Applied Clifford Algebras
6 Journal of Vibration and Control
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Asian Journal of Control
6 International Journal of Systems Science. Principles and Applications of Systems and Integration
6 AMM. Applied Mathematics and Mechanics. (English Edition)
6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Automatica
5 Mathematics and Computers in Simulation
5 Applied Numerical Mathematics
5 Mathematical and Computer Modelling
5 Journal of Nonlinear Science
5 International Journal of Computational Methods
4 Computers and Fluids
4 Computers & Mathematics with Applications
4 Journal of Applied Mathematics and Mechanics
4 Chaos, Solitons and Fractals
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Prikladnaya Matematika i Mekhanika
3 Mechanics Research Communications
3 Applied Mathematics and Mechanics. (English Edition)
3 Automation and Remote Control
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 International Journal of Robust and Nonlinear Control
3 Communications in Numerical Methods in Engineering
3 Journal of Mathematical Sciences (New York)
3 Complexity
3 European Journal of Control
3 International Journal of Applied Mathematics and Computer Science
3 Engineering Computations
3 Optimization and Engineering
3 Journal of Applied Mathematics
3 Sādhanā
3 SIAM Journal on Applied Dynamical Systems
3 Advances in Applied Mathematics and Mechanics
3 International Journal for Numerical Methods in Biomedical Engineering
3 Numerical Algebra, Control and Optimization
2 International Journal of Solids and Structures
2 Journal of Mathematical Physics
2 Mathematical Biosciences
2 Mathematical Methods in the Applied Sciences
2 Physica A
2 BIT
2 Journal of Differential Equations
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Numerische Mathematik
2 SIAM Journal on Control and Optimization
2 Optimal Control Applications & Methods
2 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
2 Computer Aided Geometric Design
2 Physica D
2 Finite Elements in Analysis and Design
2 Journal of Intelligent & Robotic Systems
2 International Journal of Computer Mathematics
2 Journal of Elasticity
2 Mathematical Programming. Series A. Series B
2 Continuum Mechanics and Thermodynamics
2 Filomat
2 Doklady Mathematics
2 Differential Equations and Dynamical Systems
2 Abstract and Applied Analysis
2 European Journal of Mechanics. B. Fluids
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Granular Matter
2 Advances in Difference Equations
2 Boundary Value Problems
2 Journal of Shanghai Jiaotong University (Science)
2 Inverse Problems in Science and Engineering
2 Nonlinear Analysis. Hybrid Systems
2 PAMM. Proceedings in Applied Mathematics and Mechanics
2 Discrete and Continuous Dynamical Systems. Series S
2 Science China. Technological Sciences
2 Journal of Computational Dynamics
1 International Journal of Modern Physics B
...and 78 more Journals
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Cited in 40 Fields

998 Mechanics of particles and systems (70-XX)
554 Mechanics of deformable solids (74-XX)
205 Numerical analysis (65-XX)
202 Systems theory; control (93-XX)
69 Ordinary differential equations (34-XX)
68 Biology and other natural sciences (92-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
50 Computer science (68-XX)
49 Fluid mechanics (76-XX)
42 Dynamical systems and ergodic theory (37-XX)
35 Operations research, mathematical programming (90-XX)
13 Differential geometry (53-XX)
12 Partial differential equations (35-XX)
11 Statistical mechanics, structure of matter (82-XX)
9 Real functions (26-XX)
9 Optics, electromagnetic theory (78-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
6 Combinatorics (05-XX)
6 Topological groups, Lie groups (22-XX)
6 Statistics (62-XX)
5 Commutative algebra (13-XX)
5 Special functions (33-XX)
4 Number theory (11-XX)
4 Probability theory and stochastic processes (60-XX)
4 Quantum theory (81-XX)
4 Information and communication theory, circuits (94-XX)
3 Functions of a complex variable (30-XX)
3 Approximations and expansions (41-XX)
2 Algebraic geometry (14-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Operator theory (47-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Relativity and gravitational theory (83-XX)
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1 Mathematical logic and foundations (03-XX)
1 Associative rings and algebras (16-XX)
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1 Integral equations (45-XX)

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