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. all top 5 Latest Issues 56, No. 3 (2022) 56, No. 2 (2022) 56, No. 1 (2022) 55, No. 4 (2022) 55, No. 3 (2022) 55, No. 1-2 (2022) 54, No. 4 (2022) 54, No. 3 (2022) 54, No. 2 (2022) 54, No. 1 (2022) 53, No. 4 (2021) 53, No. 3 (2021) 53, No. 2 (2021) 53, No. 1 (2021) 52, No. 4 (2021) 52, No. 3 (2021) 52, No. 2 (2021) 52, No. 1 (2021) 51, No. 4 (2021) 51, No. 3 (2021) 51, No. 2 (2021) 51, No. 1 (2021) 50, No. 4 (2020) 50, No. 3 (2020) 50, No. 2 (2020) 50, No. 1 (2020) 49, No. 4 (2020) 49, No. 3 (2020) 49, No. 2 (2020) 49, No. 1 (2020) 48, No. 4 (2020) 48, No. 3 (2020) 48, No. 2 (2020) 48, No. 1 (2020) 47, No. 4 (2019) 47, No. 3 (2019) 47, No. 2 (2019) 47, No. 1 (2019) 46, No. 4 (2019) 46, No. 3 (2019) 46, No. 1 (2019) 45, No. 4 (2019) 45, No. 2 (2019) 45, No. 1 (2019) 44, No. 4 (2018) 44, No. 3 (2018) 44, No. 2 (2018) 44, No. 1 (2018) 43, No. 4 (2018) 43, No. 3 (2018) 43, No. 2 (2018) 43, No. 1 (2018) 42, No. 4 (2018) 42, No. 3 (2018) 42, No. 2 (2018) 42, No. 1 (2018) 41, No. 4 (2017) 41, No. 3 (2017) 41, No. 2 (2017) 41, No. 1 (2017) 40, No. 4 (2017) 40, No. 3 (2017) 40, No. 2 (2017) 40, No. 1 (2017) 39, No. 4 (2017) 39, No. 3 (2017) 39, No. 1-2 (2017) 38, No. 4 (2016) 38, No. 3 (2016) 38, No. 2 (2016) 38, No. 1 (2016) 37, No. 4 (2016) 37, No. 3 (2016) 37, No. 2 (2016) 37, No. 1 (2016) 36, No. 4 (2016) 36, No. 3 (2016) 36, No. 2 (2016) 36, No. 1 (2016) 35, No. 4 (2015) 35, No. 3 (2015) 35, No. 2 (2015) 35, No. 1 (2015) 34, No. 4 (2015) 34, No. 3 (2015) 34, No. 2 (2015) 34, No. 1 (2015) 33, No. 4 (2015) 33, No. 3 (2015) 33, No. 2 (2015) 33, No. 1 (2015) 32, No. 4 (2014) 32, No. 3 (2014) 32, No. 2 (2014) 32, No. 1 (2014) 31, No. 4 (2014) 31, No. 3 (2014) 31, No. 2 (2014) 31, No. 1 (2014) 30, No. 4 (2013) ...and 108 more Volumes all top 5 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 all top 5 Fields 864 Mechanics of particles and systems (70-XX) 265 Mechanics of deformable solids (74-XX) 70 Systems theory; control (93-XX) 45 Biology and other natural sciences (92-XX) 41 Numerical analysis (65-XX) 28 Computer science (68-XX) 17 Operations research, mathematical programming (90-XX) 16 General and overarching topics; collections (00-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 11 Fluid mechanics (76-XX) 8 Ordinary differential equations (34-XX) 7 Optics, electromagnetic theory (78-XX) 6 Combinatorics (05-XX) 5 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications 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 0893.70008Shabana, Ahmed A. 107 1997 Multibody system dynamics: roots and perspectives. Zbl 0901.70009Schiehlen, W. 83 1997 Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems. Zbl 1121.70003Arnold, Martin; Brüls, Olivier 65 2007 Definition of the slopes and the finite element absolute nodal coordinate formulation. Zbl 0890.73071Shabana, A. A. 55 1997 Generalization of plate finite elements for absolute nodal coordinate formulation. Zbl 1137.74435Dmitrochenko, O. N.; Pogorelov, D. Yu. 40 2003 A regularized contact model with asymmetric damping and dwell-time dependent friction. Zbl 1143.74344Gonthier, 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 1183.74295Mikkola, Aki M.; Shabana, Ahmed A. 36 2003 A geometrically exact beam element based on the absolute nodal coordinate formulation. Zbl 1347.74049Gerstmayr, Johannes; Matikainen, Marko K.; Mikkola, Aki M. 33 2008 On the continuous contact force models for soft materials in multibody dynamics. Zbl 1263.70007Flores, Paulo; Machado, Margarida; Silva, Miguel T.; Martins, Jorge M. 33 2011 On the contact detection for contact-impact analysis in multibody systems. Zbl 1375.70021Flores, Paulo; Ambrósio, Jorge 32 2010 A comparison of finite elements for nonlinear beams: the absolute nodal coordinate and geometrically exact formulations. Zbl 1142.74046Romero, Ignacio 32 2008 Dynamic analysis for planar multibody mechanical systems with lubricated joints. Zbl 1174.70307Flores, Paulo; Ambrósio, Jorge; Claro, J. Pimenta 31 2004 Multi-body dynamics simulation of geometrically exact Cosserat rods. Zbl 1271.74264Lang, Holger; Linn, Joachim; Arnold, Martin 30 2011 A two-step approach for model reduction in flexible multibody dynamics. Zbl 1113.70004Lehner, Michael; Eberhard, Peter 26 2007 Formulation and preparation for numerical evaluation of linear complementarity systems in dynamics. Zbl 1114.70008Glocker, Christoph; Studer, Christian 26 2005 A geometric approach to solving problems of control constraints: Theory and a DAE framework. Zbl 1066.70018Blajer, Wojciech; Kołodziejczyk, Krzysztof 25 2004 Collision with friction; part A: Newton’s hypothesis. Zbl 1163.70007Djerassi, Shlomo 24 2009 A 3D finite element method for flexible multibody systems. Zbl 1146.70318Gerstmayr, Johannes; Schöberl, Joachim 23 2006 Modular simulation in multibody system dynamics. Zbl 0965.70008Kübler, R.; Schiehlen, W. 23 2000 Intelligent simulation of multibody dynamics: Space-state and descriptor methods in sequential and parallel computing environments. Zbl 0963.70003Cuadrado, J.; Cardenal, J.; Morer, P.; Bayo, E. 22 2000 A continuous analysis method for planar multibody systems with joint clearance. Zbl 0953.70517Ravn, Peter 22 1998 Analysis of large flexible body deformation in multibody systems using absolute coordinates. Zbl 1288.74061von Dombrowski, Stefan 22 2002 An algorithm for compliant contact between complexly shaped bodies. Zbl 1174.70309Hippmann, 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 1358.74061Nachbagauer, Karin; Pechstein, Astrid S.; Irschik, Hans; Gerstmayr, Johannes 21 2011 Comparison of model reduction techniques for large mechanical systems. Zbl 1332.70024Koutsovasilis, Javier P.; Beitelschmidt, M. 20 2008 Elimination of constraint violation and accuracy aspects in numerical simulation of multibody systems. Zbl 1007.70006Blajer, Wojciech 20 2002 Simulation of unilateral constrained systems with many bodies. Zbl 1146.70317Förg, Martin; Pfeiffer, Friedrich; Ulbrich, Heinz 20 2005 Linear algebra and numerical algorithms using dual numbers. Zbl 1128.70002Pennestrì, E.; Stefanelli, R. 20 2007 Energy-momentum conserving integration of multibody dynamics. Zbl 1112.70003Betsch, Peter; Uhlar, Stefan 19 2007 Collision with friction; part B: Poisson’s and Stronge’s hypotheses. Zbl 1163.70008Djerassi, Shlomo 19 2009 Energy-preserving time integration for constrained multibody systems. Zbl 1046.70003Lens, Elisabet V.; Cardona, Alberto; Géradin, Michel 19 2004 Study of the geometric stiffening effect: comparison of different formulations. Zbl 1067.70007Mayo, Juana M.; García-Vallejo, Daniel; Domínguez, Jaime 18 2004 Study of the centrifugal stiffening effect using the finite element absolute nodal coordinate formulation. Zbl 1060.70011Berzeri, Marcello; Shabana, Ahmed A. 18 2002 Modeling and solution methods for efficient real-time simulation of multibody dynamics. Zbl 0908.70003Cuadrado, 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 1200.70003Leyendecker, Sigrid; Betsch, Peter; Steinmann, Paul 18 2008 Nonlinear model order reduction for flexible multibody dynamics: a modal derivatives approach. Zbl 1352.70018Wu, Long; Tiso, Paolo 18 2016 Lie-group integration method for constrained multibody systems in state space. Zbl 1339.70037Terze, Zdravko; Müller, Andreas; Zlatar, Dario 18 2015 Energetic consistency conditions for standard impacts. I: Newton-type inequality impact laws and Kane’s example. Zbl 1271.74365Glocker, Christoph 18 2013 Superelements modelling in flexible multibody dynamics. Zbl 0959.74026Cardona, Alberto 17 2000 Definition of the elastic forces in the finite element absolute nodal coordinate formulation and the floating frame of reference formulation. Zbl 1035.74502Berzeri, Marcello; Campanelli, Marcello; Shabana, Ahmed A. 17 2001 Improved ‘order-\(n\)’ performance algorithm for the simulation of constrained multi-rigid-body dynamic systems. Zbl 1139.70304Anderson, K. S.; Critchley, J. H. 17 2003 Stabilization methods for the integration of DAE in the presence of redundant constraints. Zbl 1137.70303Neto, Maria Augusta; Ambrósio, Jorge 17 2003 Dynamics of a large scale rigid-flexible multibody system composed of composite laminated plates. Zbl 1358.70016Liu, Cheng; Tian, Qiang; Hu, Haiyan 17 2011 Large deflection analysis of a thin plate: computer simulations and experiments. Zbl 1143.74339Yoo, 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 0892.73035Dias, J. M. P.; Pereira, M. S. 16 1997 A geometric unification of constrained system dynamics. Zbl 0905.70008Blajer, Wojciech 16 1997 A neural-genetic (NN-GA) approach for optimising mechanisms having joints with clearance. Zbl 1341.70003Erkaya, Selçuk; Uzmay, İbrahim 16 2008 Finite element method in dynamics of flexible multibody systems: Modeling of holonomic constraints and energy conserving integration schemes. Zbl 0972.74064Ibrahimbegović, Adnan; Mamouri, Saïd; Taylor, Robert L.; Chen, Alecia J. 16 2000 Improved bushing models for general multibody systems and vehicle dynamics. Zbl 1272.70034Ambrósio, Jorge; Verissimo, Paulo 15 2009 Research trends in multibody system dynamics. Zbl 1118.70007Schiehlen, W. 15 2007 Twenty-five years of natural coordinates. Zbl 1180.70014García de Jalón, Javier 15 2007 Dynamics of flexible multibody systems using virtual work and linear graph theory. Zbl 1003.74030Shi, Pengfei; McPhee, John 15 2000 A new approach for the dynamic analysis of parallel manipulators. Zbl 0916.70005Wang, Jiegao; Gosselin, Clément M. 15 1998 Advances in the modelling of motorcycle dynamics. Zbl 1121.70008Sharp, R. S.; Evangelou, S.; Limebeer, D. J. N. 15 2004 A DAE approach to flexible multibody dynamics. Zbl 1043.70003Betsch, P.; Steinmann, P. 15 2002 Modeling and control of crank-slider mechanism with multiple clearance joints. Zbl 1372.70032Yaqubi, 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 1225.70006González, Francisco; Naya, Miguel Ángel; Luaces, Alberto; González, Manuel 15 2011 Modeling multibody systems with uncertainties. II: Numerical applications. Zbl 1146.70331Sandu, Corina; Sandu, Adrian; Ahmadian, Mehdi 14 2006 Multiphysics modeling and optimization of mechatronic multibody systems. Zbl 1178.70075Samin, 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 1243.70002Fehr, Jörg; Eberhard, Peter 14 2011 Impacts in multibody systems: modeling and experiments. Zbl 1347.70019Modarres Najafabadi, Seyed Ali; Kövecses, József; Angeles, Jorge 13 2008 Determination of wheel-rail contact points with semianalytic methods. Zbl 1347.70017Malvezzi, 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 1147.70304Lehner, Michael; Eberhard, Peter 13 2006 Recursive formulations for multibody systems with frictional joints based on the interaction between bodies. Zbl 1376.70016Qi, Zhaohui; Xu, Yongsheng; Luo, Xiaoming; Yao, Shengji 13 2010 A mathematical framework for rigid contact detection between quadric and superquadric surfaces. Zbl 1376.70012Lopes, 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 1178.74102Maqueda, 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 1407.70014Coronel-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 0980.70004Borri, Marco; Trainelli, Lorenzo; Bottasso, Carlo L. 13 2000 Complex flexible multibody systems with application to vehicle dynamics. Zbl 1169.74420Ambrósio, Jorge A. C.; Gonçalves, João P. C. 13 2001 Three approaches for elastodynamic contact in multibody systems. Zbl 1174.70312Schiehlen, W.; Seifried, R. 13 2004 Penalty approximation for dynamical systems submitted to multiple non-smooth constraints. Zbl 1314.70018Paoli, Laetitia; Schatzman, Michelle 13 2002 Multibody dynamics simulation of planar linkages with Dahl friction. Zbl 1111.70005Pennestrì, E.; Valentini, P. P.; Vita, L. 12 2007 Kinematic data consistency in the inverse dynamic analysis of biomechanical systems. Zbl 1246.74034Silva, M. P. T.; Ambrósio, J. A. C. 12 2002 Discrete time transfer matrix method for multibody system dynamics. Zbl 1146.70323Rui, 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 1192.70005Choi, 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 1210.70010Pombo, João C.; Ambrósio, Jorge A. C. 12 2008 Initial condition correction in multibody dynamics. Zbl 1120.70008Nikravesh, Parviz E. 12 2007 Interpolation of rotation and motion. Zbl 1293.74404Bauchau, 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 1400.70017Ambrósio, Jorge; Pombo, João 12 2018 Contact conditions for cylindrical, prismatic, and screw joints in flexible multibody systems. Zbl 0985.70003Bauchau, Olivier A.; Bottasso, Carlo L. 12 2001 Analysis of joint clearances in multibody systems. Zbl 1284.70011García Orden, J. C. 12 2005 Forward dynamics of open-loop multibody mechanisms using an efficient recursive algorithm based on canonical momenta. Zbl 1024.70004Naudet, Joris; Lefeber, Dirk; Daerden, Frank; Terze, Zdravko 12 2003 Validation of flexible multibody dynamics beam formulations using benchmark problems. Zbl 1359.70060Bauchau, 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 1274.70010de Jalón, J. García; Gutiérrez-López, M. D. 12 2013 Energetically consistent simulation of simultaneous impacts and contacts in multibody systems with friction. Zbl 1189.70006Bowling, Alan; Flickinger, Daniel Montrallo; Harmeyer, Sean 11 2009 Simulation model of general human and humanoid motion. Zbl 1160.70319Vukobratović, Miomir; Potkonjak, Veljko; Babković, Kalman; Borovac, Branislav 11 2007 Modeling multibody systems with uncertainties. I: Theoretical and computational aspects. Zbl 1146.70330Sandu, Adrian; Sandu, Corina; Ahmadian, Mehdi 11 2006 Transfer matrix method for linear multibody system. Zbl 1181.70010Rui, Xiaoting; Wang, Guoping; Lu, Yuqi; Yun, Laifeng 11 2008 Leveraging parallel computing in multibody dynamics. Zbl 1344.70003Negrut, Dan; Tasora, Alessandro; Mazhar, Hammad; Heyn, Toby; Hahn, Philipp 11 2012 Conserving properties in constrained dynamics of flexible multibody systems. Zbl 0972.70009García Orden, Juan C.; Goicolea, José M. 11 2000 Computational schemes for flexible, nonlinear multi-body systems. Zbl 0956.74078Bauchau, Olivier A. 11 1998 Impulsive synchronization motion in networked open-loop multibody systems. Zbl 1266.70049Wu, 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 1274.74156Pechstein, Astrid; Gerstmayr, Johannes 11 2013 A modeling of sliding joint on one-dimensional flexible medium. Zbl 1287.70003Hong, Difeng; Ren, Gexue 11 2011 A scalable parallel method for large collision detection problems. Zbl 1287.70004Mazhar, Hammad; Heyn, Toby; Negrut, Dan 11 2011 A contact force solution for non-colliding contact dynamics simulation. Zbl 1207.70006Sharf, Inna; Zhang, Yuning 11 2006 Augmented Lagrangian formulation: Geometrical interpretation and application to systems with singularities and redundancy. Zbl 1022.70004Blajer, 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 1147.70317Bottasso, 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 1146.70324Rulka, Wolfgang; Pankiewicz, Eli 10 2005 Experimental investigation of joint clearance effects on the dynamics of a slider-crank mechanism. Zbl 1375.70008Erkaya, Selçuk; Uzmay, İbrahim 10 2010 A mortar formulation for frictionless line-to-line beam contact. Zbl 1492.74117Bosten, Armin; Cosimo, Alejandro; Linn, Joachim; Brüls, Olivier 1 2022 Contact mechanics for dynamical systems: a comprehensive review. Zbl 1492.70006Flores, Paulo 1 2022 Performance of implicit A-stable time integration methods for multibody system dynamics. Zbl 1492.70008Zhang, 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 07387248Chen, Weitao; Ran, Shenhai; Wu, Canhui; Jacobson, Bengt 3 2021 Wheel-rail contact simulation with lookup tables and KEC profiles: a comparative study. Zbl 1487.74096Escalona, 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 1490.76168Rakhsha, M.; Yang, L.; Hu, W.; Negrut, D. 2 2021 A referenced nodal coordinate formulation. Zbl 1470.70002Ren, Hui; Yang, Kai 2 2021 Modal reduction procedures for flexible multibody dynamics. Zbl 1470.70012Sonneville, 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 1470.70005Wu, Xuze; Sun, Yu; Wang, Yu; Chen, Yu 2 2021 Detailed wheel/rail geometry processing with the conformal contact approach. Zbl 1475.74103Vollebregt, Edwin 2 2021 Time integration of rigid bodies modelled with three rotation parameters. Zbl 1489.70001Holzinger, Stefan; Gerstmayr, Johannes 1 2021 A collision control strategy for detumbling a non-cooperative spacecraft by a robotic arm. Zbl 1483.70030Liu, Xiao-Feng; Zhang, Xiao-Yu; Cai, Guo-Ping; Wang, Ming-Ming 1 2021 Nonsmooth spatial frictional contact dynamics of multibody systems. Zbl 1483.70028Wang, Kun; Tian, Qiang; Hu, Haiyan 1 2021 Research on mechanism and control methods of carbody chattering of an electric multiple-unit train. Zbl 1483.70045Gong, 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 1465.74136Ye, Yunguang; Sun, Yu; Dongfang, Shiping; Shi, Dachuan; Hecht, Markus 1 2021 Integrated vibration suppression attitude control for flexible spacecrafts with internal liquid sloshing. Zbl 1466.70042Colagrossi, Andrea; Lavagna, Michèle 1 2021 Modeling viscoelastic behavior in flexible multibody systems. Zbl 1466.70008Bauchau, Olivier A.; Nemani, Nishant 1 2021 Dynamic modeling, analysis, and comparative study of a quadruped with bio-inspired robotic tails. Zbl 1466.70002Liu, 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 1470.93037Homaeinezhad, M. R.; Yaqubi, S.; Gholyan, H. M. 1 2021 Port-Hamiltonian flexible multibody dynamics. Zbl 1470.70009Brugnoli, 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 1472.70019Jaiswal, Suraj; Rahikainen, Jarkko; Khadim, Qasim; Sopanen, Jussi; Mikkola, Aki 1 2021 Implementation of a non-Hertzian contact model for railway dynamic application. Zbl 1433.74083Magalhães, 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 1437.70012Rahikainen, Jarkko; González, Francisco; Naya, Miguel Ángel 7 2020 On the cosimulation of multibody systems and hydraulic dynamics. Zbl 1457.70019Rahikainen, 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 1456.70008Zwölfer, Andreas; Gerstmayr, Johannes 6 2020 Effect of applied force cosimulation schemes on recoupled vehicle/track problems. Zbl 1457.70003Olivier, Bryan; Verlinden, Olivier; Kouroussis, Georges 5 2020 A new model of the contact force for the collision between two solid bodies. Zbl 1457.74157Safaeifar, Hossein; Farshidianfar, Anooshirvan 4 2020 Billion degree of freedom granular dynamics simulation on commodity hardware via heterogeneous data-type representation. Zbl 1457.70002Kelly, Conlain; Olsen, Nicholas; Negrut, Dan 4 2020 Optimal damping coefficient for a class of continuous contact models. Zbl 1457.70018Poursina, Mohammad; Nikravesh, Parviz E. 3 2020 Stability analysis for the Whipple bicycle dynamics. Zbl 1437.70008Xiong, Jiaming; Wang, Nannan; Liu, Caishan 3 2020 State-of-the-art and challenges of railway and road vehicle dynamics with multibody dynamics approaches. Zbl 1456.70010Bruni, Stefano; Meijaard, J. P.; Rill, Georg; Schwab, A. L. 3 2020 Railway multibody simulation with the knife-edge-equivalent wheel-rail constraint equations. Zbl 1466.70009Escalona, 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 1456.70016Peng, Haijun; Song, Ningning; Kan, Ziyun 3 2020 Contact control for grasping a non-cooperative satellite by a space robot. Zbl 1457.70022Liu, 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 1457.70013Ambrósio, 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 1437.70014Yao, Tingqiang; Wang, Lihua; Liu, Xiaobao; Huang, Yayu 2 2020 Energetically consistent model of slipping and sticking frictional impacts in multibody systems. Zbl 1437.70009Aghili, Farhad 2 2020 Modification of friction for straightforward implementation of friction law. Zbl 1437.70020Chen, Shi; Zhang, Zhinan 2 2020 Adjoint sensitivity analysis of hybrid multibody dynamical systems. Zbl 1456.70011Corner, 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 1456.70012Docquier, Nicolas; Lantsoght, Olivier; Dubois, Frédéric; Brüls, Olivier 2 2020 Modeling muscle wrapping and mass flow using a mass-variable multibody formulation. Zbl 1456.70013Guo, 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 1457.70020Xiang, Yujiang; Arefeen, Asif 1 2020 Muscle torque generators in multibody dynamic simulations of optimal sports performance. Zbl 1457.70016Inkol, 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 1456.70042Jansen, 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 1458.92012Ezati, Mahdokht; Brown, Peter; Ghannadi, Borna; McPhee, John 1 2020 A robust nonsmooth generalized-\(\alpha\) scheme for flexible systems with impacts. Zbl 1437.70011Cosimo, 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 1437.70010Brogliato, Bernard; Kovecses, Jozsef; Acary, Vincent 1 2020 An improved implicit method for mechanical systems with set-valued friction. Zbl 1437.70022Zhang, 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 1456.70022Enferadi, 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 1456.70021Du, Wenqian; Benamar, Faïz 1 2020 Trajectory planning of a redundant planar manipulator based on joint classification and particle swarm optimization algorithm. Zbl 1456.70006Yu, 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 1453.74067Liu, 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 1456.70014Huang, 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 1420.70004Zwölfer, 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 1428.74170Aghili, Farhad 4 2019 Adaptive sliding mode control of \(n\) flexible-joint robot manipulators in the presence of structured and unstructured uncertainties. Zbl 1427.70027Zaare, 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 1456.70019Witteveen, Wolfgang; Pichler, Florian 3 2019 A review of simulation methods for human movement dynamics with emphasis on gait. Zbl 1423.70004Ezati, Mahdokht; Ghannadi, Borna; McPhee, John 3 2019 An efficient formulation for flexible multibody dynamics using a condensation of deformation coordinates. Zbl 1423.70027Han, 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 1412.70015Baquero-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 1412.70014Wu, 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 1412.70007Zobova, Alexandra A. 3 2019 Active detumbling technology for high dynamic non-cooperative space targets. Zbl 1420.70002Liu, Yuan-Qing; Yu, Zhang-Wei; Liu, Xiao-Feng; Cai, Guo-Ping 2 2019 Tensegrity system dynamics with rigid bars and massive strings. Zbl 1442.74096Goyal, 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 1427.70007Chen, 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 1461.70010Xu, 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 1415.70010Chernousko, Felix 2 2019 Determining power consumption using neural model in multibody systems with clearance and flexible joints. Zbl 1423.70025Erkaya, Selçuk 2 2019 A geometric optimization method for the trajectory planning of flexible manipulators. Zbl 1427.70025Lismonde, Arthur; Sonneville, Valentin; Brüls, Olivier 1 2019 Rigid vs compliant contact: an experimental study on biped walking. Zbl 1461.70011Khadiv, 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 1416.74064Xu, Qiping; Liu, Jinyang; Qu, Lizheng 1 2019 Attitude dynamics of coupled spacecraft undergoing fuel transfer. Zbl 1415.70039Zheng, Heming; Zhai, Guang 1 2019 ANFIS-based an adaptive continuous sliding-mode controller for robot manipulators in operational space. Zbl 1423.70034Asar, 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 1423.70036Xu, Wenfu; Hu, Zhonghua; Yan, Lei; Yuan, Han; Liang, Bin 1 2019 Rocking dynamics of a planar rectangular block on a rigid surface. Zbl 1412.70006Zhao, 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 1407.70014Coronel-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 1400.70017Ambrósio, Jorge; Pombo, João 12 2018 Multibody systems with 3D revolute joints with clearances: an industrial case study with an experimental validation. Zbl 1400.70016Akhadkar, Narendra; Acary, Vincent; Brogliato, Bernard 7 2018 Flexible multibody dynamics using coordinate reduction improved by dynamic correction. Zbl 1425.70012Kim, Jin-Gyun; Han, Jong-Boo; Lee, Hanmin; Kim, Sung-Soo 6 2018 Screw and Lie group theory in multibody dynamics. Zbl 1400.70020Müller, Andreas 6 2018 Screw and Lie group theory in multibody kinematics. Motion representation and recursive kinematics of tree-topology systems. Zbl 1400.70021Müller, Andreas 5 2018 A 3D ellipsoidal volumetric foot-ground contact model for forward dynamics. Zbl 1425.70003Brown, Peter; McPhee, John 5 2018 Implicit co-simulation method for constraint coupling with improved stability behavior. Zbl 1407.70001Meyer, 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 1409.70002Rahikainen, 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 1407.70008Ellenbroek, Marcel; Schilder, Jurnan 4 2018 Dynamic modeling and vibration characteristics analysis of flexible-link and flexible-joint space manipulator. Zbl 1423.70031Meng, Deshan; She, Yu; Xu, Wenfu; Lu, Weining; Liang, Bin 4 2018 Dynamic contact model of shell for multibody system applications. Zbl 1412.70012Shi, 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 1407.70016Qian, Zhenjie; Zhang, Dingguo; Jin, Chengqian 3 2018 Real-time trajectory control of an overhead crane using servo-constraints. Zbl 1418.70012Otto, Svenja; Seifried, Robert 3 2018 Analytic solution for planar indeterminate impact problems using an energy constraint. Zbl 1400.70019Chatterjee, Abhishek; Rodriguez, Adrian; Bowling, Alan 3 2018 Modelling of flexible bodies with minimal coordinates by means of the corotational formulation. Zbl 1425.70007Verlinden, 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 1423.70012Hemingway, Evan G.; O’Reilly, Oliver M. 2 2018 Interface reduction methods for mechanical systems with elastohydrodynamic lubricated revolute joints. Zbl 1419.74182Krinner, Andreas; Rixen, Daniel J. 2 2018 Walking of biped with passive exoskeleton: evaluation of energy consumption. Zbl 1391.92011Aoustin, Y.; Formalskii, A. M. 2 2018 Feedback control of multibody systems with joint clearance and dynamic backlash: a tutorial. Zbl 1400.70018Brogliato, Bernard 2 2018 The discrete adjoint method for parameter identification in multibody system dynamics. Zbl 1425.70013Lauß, Thomas; Oberpeilsteiner, Stefan; Steiner, Wolfgang; Nachbagauer, Karin 2 2018 Online prediction model for wheel wear considering track flexibility. Zbl 1408.74043Tao, 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 1407.70011Rong, 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 1423.70026Escalona, 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 1425.74261Hara, Kensuke; Watanabe, Masahiro 1 2018 ...and 584 more Documents all cited Publications top 5 cited Publications all top 5 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 ...and 2,496 more Authors all top 5 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. 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(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. 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Technological Sciences 2 Journal of Computational Dynamics 1 International Journal of Modern Physics B ...and 78 more Journals all top 5 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) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) Citations by Year