Edit Profile (opens in new tab) Bergman, Lawrence A. Compute Distance To: Compute Author ID: bergman.lawrence-a Published as: Bergman, L. A.; Bergman, Lawrence A.; Bergman, Lawrence more...less Documents Indexed: 74 Publications since 1971, including 1 Book 2 Contributions as Editor Co-Authors: 79 Co-Authors with 72 Joint Publications 1,901 Co-Co-Authors all top 5 Co-Authors 0 single-authored 39 Vakakis, Alexander F. 24 Mcfarland, D. Michael 11 Kerschen, Gaetan 10 Gendelman, Oleg V. 9 Lee, Young Sup 9 Wojtkiewicz, Steven F. 8 Spencer, Billie Floyd jun. 6 Johnson, Erik A. 6 Masud, Arif 5 Manevich, Leonid Isaakovich 4 Tsakirtzis, Stylianos 3 Blanchard, Antoine B. 3 Eriten, Melih 3 Heinrich, Juan C. 2 Al-Shudeifat, Mohammad A. 2 Dyke, Shirley J. 2 Kowtko, Jeffrey J. 2 Krack, Malte 2 Kurt, Mehmet Necip 2 Lu, Huancai 2 Lueschen, G. G. G. 2 Malmqvist, Kerstin 2 Musienko, Andrey I. 2 Nucera, Francesco 2 Panagopoulos, Panagiotis N. 2 Polycarpou, A. A. 2 Tan, Chin An 2 Theurich, Timo 2 Truster, Timothy J. 2 Tumkur, Ravi Kumar R. 2 Tzou, Horn-Sen 2 Verikas, Antanas 1 Butcher, Eric A. 1 Chen, Hao 1 Chen, Heng 1 Chen, Jianen 1 Cheng, Xiangle 1 Domany, Elad 1 Fang, Bin 1 Field, Richard V. jun. 1 Georgiades, Fotios 1 Goldberg, David Edward 1 Golinval, Jean-Claude 1 Gong, Jian 1 Grigoriu, Mircea D. 1 Guo, Chaozhong 1 Gzal, Majdi 1 Hale, Arthur L. 1 Hall, James K. 1 Haris, Ahmed 1 Huang, Tianming 1 Hubbard, Sean 1 Hyatt, J. E. 1 Jiang, Xiaoai 1 Kelly, Patrick A. 1 Lam, Khin-Yong 1 Liew, Kim Meow 1 Liu, Yang 1 Lu, Jianwei 1 Mane, Mercedes 1 Mojahed, Alireza 1 Motato, Eliot 1 Ng, Teng Yong 1 Panagopoulos, Panayotis 1 Pang, S. T. 1 Pearlstein, Arne J. 1 Pesterev, Alexander Vital’evich 1 Pichler, Lukas 1 Rahnejat, Homer 1 Remick, Kevin 1 ReVelle, Charles S. 1 Romeo, Francesco 1 Sapsis, Themistoklis P. 1 Sigalov, Grigori 1 Signahl, Mikael 1 Starosvetsky, Yuli 1 Swain, Ralph W. 1 Theodossiades, Stephanos 1 Toregas, Constantine 1 Tzioufas, J. 1 Voulgaris, Petros G. 1 Wang, Xingyuan 1 Wang, Yumei 1 Yan, Jihong 1 Zeng, FanLing all top 5 Serials 11 Nonlinear Dynamics 6 Journal of Sound and Vibration 6 Communications in Nonlinear Science and Numerical Simulation 4 Computer Methods in Applied Mechanics and Engineering 4 Physica D 3 International Journal of Non-Linear Mechanics 3 International Journal of Solids and Structures 3 International Journal for Numerical Methods in Engineering 2 Acta Mechanica 2 Meccanica 2 Applied Mathematical Modelling 2 SIAM Journal on Applied Mathematics 2 Archive of Applied Mechanics 2 Journal of Vibration and Control 2 Neural Computing and Applications 2 Chaos 1 Journal of Applied Mechanics 1 Journal of Fluid Mechanics 1 Wave Motion 1 Operations Research 1 Computational Mechanics 1 Journal of Dynamic Systems, Measurement and Control 1 European Journal of Mechanics. A. Solids 1 Solid Mechanics and Its Applications 1 Proceedings A. Royal Society of London all top 5 Fields 39 Mechanics of deformable solids (74-XX) 34 Mechanics of particles and systems (70-XX) 8 Ordinary differential equations (34-XX) 8 Probability theory and stochastic processes (60-XX) 8 Numerical analysis (65-XX) 8 Systems theory; control (93-XX) 6 Fluid mechanics (76-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Partial differential equations (35-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 571 times in 390 Documents Cited by ▼ Year ▼ The location of emergency service facilities. Zbl 0224.90048Toregas, Constantine; Swain, Ralph; ReVelle, Charles; Bergman, Lawrence 160 1971 The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview. Zbl 1103.70011Kerschen, Gaetan; Golinval, Jean-Claude; Vakaris, Alexander F.; Bergman, Lawrence A. 99 2005 Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols. Zbl 1170.70001Vakakis, Alexander F.; Gendelman, Oleg V.; Bergman, Lawrence A.; McFarland, D. Michael; Kerschen, Gaëtan; Lee, Young Sup 64 2008 Steady state passive nonlinear energy pumping in coupled oscillators: Theoretical and experimental results. Zbl 1039.70506Jiang, Xiaoai; McFarland, D. Michael; Bergman, Lawrence A.; Vakakis, Alexander F. 28 2003 Targeted energy transfers in vibro-impact oscillators for seismic mitigation. Zbl 1177.70032Nucera, F.; Vakakis, A. F.; McFarland, D. M.; Bergman, L. A.; Kerschen, G. 26 2007 Experimental study of non-linear energy pumping occurring at a single fast frequency. Zbl 1349.74011McFarland, D. Michael; Bergman, Lawrence A.; Vakakis, Alexander F. 24 2005 Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment. Zbl 1179.70013Lee, Young Sup; Kerschen, Gaetan; Vakakis, Alexander F.; Panagopoulos, Panagiotis; Bergman, Lawrence; McFarland, D. Michael 24 2005 Irreversible passive energy transfer in coupled oscillators with essential nonlinearity. Zbl 1130.74386Kerschen, Gaetan; Lee, Young Sup; Vakakis, Alexander F.; McFarland, D. Michael; Bergman, Lawrence A. 22 2005 Application of multi-scale finite element methods to the solution of the Fokker-Planck equation. Zbl 1136.82359Masud, Arif; Bergman, Lawrence A. 17 2005 A variational multiscale a posteriori error estimation method for mixed form of nearly incompressible elasticity. Zbl 1230.74190Masud, Arif; Truster, Timothy J.; Bergman, Lawrence A. 17 2011 Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments. Zbl 1179.37032Lee, Young S.; Nucera, Francesco; Vakakis, Alexander F.; McFarland, D. Michael; Bergman, Lawrence A. 17 2009 Energy transfers in a system of two coupled oscillators with essential nonlinearity: 1:1 resonance manifold and transient bridging orbits. Zbl 1106.70016Kerschen, Gaetan; Vakakis, Alexander F.; Lee, Young S.; Mcfarland, D. Michael; Kowtko, Jeffrey J.; Bergman, Lawrence A. 16 2005 Numerical solution of the Fokker-Planck equation by finite difference and finite element methods – a comparative study. Zbl 1304.65222Pichler, L.; Masud, A.; Bergman, L. A. 15 2013 Asymptotic analysis of passive nonlinear suppression of aeroelastic instabilities of a rigid wing in subsonic flow. Zbl 1402.76064Gendelman, O. V.; Vakakis, A. F.; Bergman, L. A.; McFarland, D. M. 14 2010 Dynamic interaction of a semi-infinite linear chain of coupled oscillators with a strongly nonlinear end attachment. Zbl 1067.70020Manevitch, Leonid I.; Gendelman, Oleg; Musienko, Andrey I.; Vakakis, Alexander F.; Bergman, Lawrence 12 2003 A unified formulation for interface coupling and frictional contact modeling with embedded error estimation. Zbl 1352.74193Masud, Arif; Truster, Timothy J.; Bergman, Lawrence A. 11 2012 Theoretical and experimental study of multimodal targeted energy transfer in a system of coupled oscillators. Zbl 1177.70023Kerschen, Gaetan; Kowtko, Jeffrey J.; McFarland, D. Michael; Bergman, Lawrence A.; Vakakis, Alexander F. 11 2007 Response of stochastic dynamical systems driven by additive Gaussian and Poisson white noise: Solution of a forward generalized Kolmogorov equation by a spectral finite difference method. Zbl 0956.70003Wojtkiewicz, Steven F.; Johnson, Erik A.; Bergman, Lawrence A.; Grigoriu, Mircea; Spencer, Billie F. jun. 10 1999 Reduced-order model for laminar vortex-induced vibration of a rigid circular cylinder with an internal nonlinear absorber. Zbl 1311.74055Tumkur, Ravi Kumar R.; Domany, Elad; Gendelman, Oleg V.; Masud, Arif; Bergman, Lawrence A.; Vakakis, Alexander F. 10 2013 Dynamics and control of distributed systems. Zbl 0902.00020 9 1998 Alternation of regular and chaotic dynamics in a simple two-degree-of-freedom system with nonlinear inertial coupling. Zbl 1331.70063Sigalov, G.; Gendelman, O. V.; Al-Shudeifat, M. A.; Manevitch, L. I.; Vakakis, A. F.; Bergman, L. A. 7 2012 Complex dynamics and targeted energy transfer in linear oscillators coupled to multi-degree-of-freedom essentially nonlinear attachments. Zbl 1180.70028Tsakirtzis, Stylianos; Panagopoulos, Panagiotis N.; Kerschen, Gaetan; Gendelman, Oleg; Vakakis, Alexander F.; Bergman, Lawrence A. 7 2007 Toward a fundamental understanding of the Hilbert-Huang transform in nonlinear structural dynamics. Zbl 1229.70069Kerschen, G.; Vakakis, A. F.; Lee, Y. S.; Mcfarland, D. M.; Bergman, L. A. 6 2008 A moment specification algorithm for control of nonlinear systems driven by Gaussian white noise. Zbl 0992.74053Wojtkiewicz, S. F.; Bergman, L. A. 6 2001 Transient dynamics of a dispersive elastic wave guide weakly coupled to an essentially nonlinear end attachment. Zbl 1189.74068Vakakis, Alexander F.; Manevitch, Leonid I.; Musienko, Andrey I.; Kerschen, Gaetan; Bergman, Lawrence A. 6 2005 On the cumulant-neglect closure method in stochastic dynamics. Zbl 0926.70030Wojtkiewicz, S. F.; Spencer, B. F. jun.; Bergman, L. A. 6 1996 Observations with regard to massively parallel computation for Monte Carlo simulation of stochastic dynamical systems. Zbl 0900.70359Johnson, E. A.; Wojtkiewicz, S. F.; Bergman, L. A.; Spencer, B. F. jun. 5 1997 A study on torsional vibration attenuation in automotive drivetrains using absorbers with smooth and non-smooth nonlinearities. Zbl 1443.70004Haris, Ahmed; Motato, Eliot; Theodossiades, Stephanos; Rahnejat, Homer; Kelly, Patrick; Vakakis, Alexander; Bergman, Lawrence A.; McFarland, D. Michael 5 2017 Stability analysis for transverse breathing cracks in rotor systems. Zbl 1406.70013Guo, Chaozhong; Al-Shudeifat, Mohammad A.; Yan, Jihong; Bergman, Lawrence A.; McFarland, D. Michael; Butcher, Eric A. 5 2013 A degenerate bifurcation structure in the dynamics of coupled oscillators with essential stiffness nonlinearities. Zbl 1038.70016Gendelman, Oleg; Manevitch, Leonid I.; Vakakis, Alexander F.; Bergman, Lawrence 5 2003 On the reliability of the linear oscillator and systems of coupled oscillators. Zbl 0499.70036Bergman, L. A.; Heinrich, J. C. 5 1982 A new way to introduce geometrically nonlinear stiffness and damping with an application to vibration suppression. Zbl 1437.70034Liu, Yang; Mojahed, Alireza; Bergman, Lawrence A.; Vakakis, Alexander F. 5 2019 Dynamic Green’s functions for Levy plates. Zbl 0925.73360Bergman, L. A.; Hall, J. K.; Lueschen, G. G. G.; McFarland, D. M. 4 1993 Effect of an internal nonlinear rotational dissipative element on vortex shedding and vortex-induced vibration of a sprung circular cylinder. Zbl 1460.76224Tumkur, Ravi Kumar R.; Pearlstein, Arne J.; Masud, Arif; Gendelman, Oleg V.; Blanchard, Antoine B.; Bergman, Lawrence A.; Vakakis, Alexander F. 4 2017 Robust numerical solution of the Fokker-Planck equation for second order dynamical systems under parametric and external white noise excitations. Zbl 0864.60042Bergman, Lawrence A.; Wojtkiewicz, Steven F.; Johnson, Erik A.; Spencer, Billie F. jun. 3 1996 The vibration of stepped beams and rectangular plates by an elemental dynamic flexibility method. Zbl 1064.74575Lee, J.; Bergman, L. A. 3 1994 A new method for calculating bending moment and shear force in moving load problems. Zbl 1110.74629Pesterev, A. V.; Tan, C. A.; Bergman, L. A. 3 2001 Transient and chaotic low-energy transfers in a system with bistable nonlinearity. Zbl 1374.70060Romeo, F.; Manevitch, L. I.; Bergman, L. A.; Vakakis, A. 3 2015 Physics-based modeling for fretting behavior of nominally flat rough surfaces. Zbl 1236.74213Eriten, M.; Polycarpou, A. A.; Bergman, L. A. 3 2011 Influence of system parameters on dynamic behavior of gear pair with stochastic backlash. Zbl 1303.70013Lu, JianWei; Chen, Hao; Zeng, FanLing; Vakakis, Alexander F.; Bergman, Lawrence A. 3 2014 Vortex-induced vibration of a linearly sprung cylinder with an internal rotational nonlinear energy sink in turbulent flow. Zbl 1430.76236Blanchard, Antoine; Bergman, Lawrence A.; Vakakis, Alexander F. 3 2020 Three-dimensional vibration of cylindrical shell panels – solution by continuum and discrete approaches. Zbl 1162.74375Liew, K. M.; Bergman, L. A.; Ng, T. Y.; Lam, K. Y. 3 2000 Multi-scaled analysis of the damped dynamics of an elastic rod with an essentially nonlinear end attachment. Zbl 1178.74083Panagopoulos, Panayotis; Georgiades, Fotios; Tsakirtzis, Stylianos; Vakakis, Alexander F.; Bergman, Lawrence A. 3 2007 Numerical solution of the four-dimensional nonstationary Fokker-Planck equation. Zbl 1226.70001Wojtkiewicz, S. F.; Bergman, L. A.; Spencer, B. F. jun.; Johnson, E. A. 3 2001 Impulsive periodic and quasi-periodic orbits of coupled oscillators with essential stiffness nonlinearity. Zbl 1221.34097Kerschen, Gaetan; Gendelman, Oleg; Vakakis, Alexander F.; Bergman, Lawrence A.; Mcfarland, D. Michael 3 2008 A time-domain nonlinear system identification method based on multiscale dynamic partitions. Zbl 1271.93044Lee, Young S.; Tsakirtzis, Stylianos; Vakakis, Alexander F.; Bergman, Lawrence A.; McFarland, D. Michael 3 2011 Solution of the Pontrjagin-Vitt equation for the moments of time to first passage of the randomly accelerated particle by the finite element method. Zbl 0465.76082Bergman, L. A.; Heinrich, J. C. 2 1980 The dynamic synthesis of general non-conservative structures from separately identified substructure models. Zbl 0558.73080Hale, A. L.; Bergman, L. A. 1 1985 Green functions for transversely vibrating uniform Euler-Bernoulli beams subject to constant axial preload. Zbl 1235.74156Bergman, L. A.; Hyatt, J. E. 1 1989 Neural networks based colour measuring for process monitoring and control in multicoloured newspaper printing. Zbl 1057.68671Verikas, A.; Malmqvist, K.; Bergman, L. 1 2000 Monte Carlo simulation of dynamical systems of engineering interest in a massively parallel computing environment: an application of genetic algorithms. Zbl 1045.74613Johnson, Erik A.; Bergman, Lawrence A.; Goldberg, David E.; Dyke, Shirley J. 1 1996 Dynamics and control of distributed systems. Zbl 0912.73002 1 1998 Colour classification by neural networks in graphic arts. Zbl 0909.68141Verikas, A.; Malmqvist, K.; Bergman, L.; Signahl, M. 1 1998 Damping-induced interplay between vibrations and waves in a forced non-dispersive elastic continuum with asymmetrically placed local attachments. Zbl 1371.74136Blanchard, A.; McFarland, D. M.; Bergman, L. A.; Vakakis, A. F. 1 2015 Modelling of nonlinear modal interactions in the transient dynamics of an elastic rod with an essentially nonlinear attachment. Zbl 1222.74028Tsakirtzis, S.; Lee, Y. S.; Vakakis, A. F.; Bergman, L. A.; Mcfarland, D. M. 1 2010 Petrov-Galerkin finite element solution for the first passage probability and moments of first passage time of the randomly accelerated free particle. Zbl 0468.73097Bergman, L. A.; Heinrich, J. C. 1 1981 Nonlinear system identification of the dynamics of a vibro-impact beam: numerical results. Zbl 1293.74188Kurt, Mehmet; Chen, Heng; Lee, Young S.; McFarland, D. Michael; Bergman, Lawrence A.; Vakakis, Alexander F. 1 2012 Non-resonant damped transitions resembling continuous resonance scattering in coupled oscillators with essential nonlinearities. Zbl 1300.70012Andersen, David; Starosvetsky, Yuli; Mane, Mercedes; Hubbard, Sean; Remick, Kevin; Wang, Xingyuan; Vakakis, Alexander; Bergman, Lawrence 1 2012 Methods to compute probabilistic measures of robustness for structural systems. Zbl 0949.93511Field, R. V. jun.; Voulgaris, P. G.; Bergman, L. A. 1 1996 Physics-based modeling for partial slip behavior of spherical contacts. Zbl 1196.74157Eriten, M.; Polycarpou, A. A.; Bergman, L. A. 1 2010 Vortex-induced vibration of a linearly sprung cylinder with an internal rotational nonlinear energy sink in turbulent flow. Zbl 1430.76236Blanchard, Antoine; Bergman, Lawrence A.; Vakakis, Alexander F. 3 2020 A new way to introduce geometrically nonlinear stiffness and damping with an application to vibration suppression. Zbl 1437.70034Liu, Yang; Mojahed, Alireza; Bergman, Lawrence A.; Vakakis, Alexander F. 5 2019 A study on torsional vibration attenuation in automotive drivetrains using absorbers with smooth and non-smooth nonlinearities. Zbl 1443.70004Haris, Ahmed; Motato, Eliot; Theodossiades, Stephanos; Rahnejat, Homer; Kelly, Patrick; Vakakis, Alexander; Bergman, Lawrence A.; McFarland, D. Michael 5 2017 Effect of an internal nonlinear rotational dissipative element on vortex shedding and vortex-induced vibration of a sprung circular cylinder. Zbl 1460.76224Tumkur, Ravi Kumar R.; Pearlstein, Arne J.; Masud, Arif; Gendelman, Oleg V.; Blanchard, Antoine B.; Bergman, Lawrence A.; Vakakis, Alexander F. 4 2017 Transient and chaotic low-energy transfers in a system with bistable nonlinearity. Zbl 1374.70060Romeo, F.; Manevitch, L. I.; Bergman, L. A.; Vakakis, A. 3 2015 Damping-induced interplay between vibrations and waves in a forced non-dispersive elastic continuum with asymmetrically placed local attachments. Zbl 1371.74136Blanchard, A.; McFarland, D. M.; Bergman, L. A.; Vakakis, A. F. 1 2015 Influence of system parameters on dynamic behavior of gear pair with stochastic backlash. Zbl 1303.70013Lu, JianWei; Chen, Hao; Zeng, FanLing; Vakakis, Alexander F.; Bergman, Lawrence A. 3 2014 Numerical solution of the Fokker-Planck equation by finite difference and finite element methods – a comparative study. Zbl 1304.65222Pichler, L.; Masud, A.; Bergman, L. A. 15 2013 Reduced-order model for laminar vortex-induced vibration of a rigid circular cylinder with an internal nonlinear absorber. Zbl 1311.74055Tumkur, Ravi Kumar R.; Domany, Elad; Gendelman, Oleg V.; Masud, Arif; Bergman, Lawrence A.; Vakakis, Alexander F. 10 2013 Stability analysis for transverse breathing cracks in rotor systems. Zbl 1406.70013Guo, Chaozhong; Al-Shudeifat, Mohammad A.; Yan, Jihong; Bergman, Lawrence A.; McFarland, D. Michael; Butcher, Eric A. 5 2013 A unified formulation for interface coupling and frictional contact modeling with embedded error estimation. Zbl 1352.74193Masud, Arif; Truster, Timothy J.; Bergman, Lawrence A. 11 2012 Alternation of regular and chaotic dynamics in a simple two-degree-of-freedom system with nonlinear inertial coupling. Zbl 1331.70063Sigalov, G.; Gendelman, O. V.; Al-Shudeifat, M. A.; Manevitch, L. I.; Vakakis, A. F.; Bergman, L. A. 7 2012 Nonlinear system identification of the dynamics of a vibro-impact beam: numerical results. Zbl 1293.74188Kurt, Mehmet; Chen, Heng; Lee, Young S.; McFarland, D. Michael; Bergman, Lawrence A.; Vakakis, Alexander F. 1 2012 Non-resonant damped transitions resembling continuous resonance scattering in coupled oscillators with essential nonlinearities. Zbl 1300.70012Andersen, David; Starosvetsky, Yuli; Mane, Mercedes; Hubbard, Sean; Remick, Kevin; Wang, Xingyuan; Vakakis, Alexander; Bergman, Lawrence 1 2012 A variational multiscale a posteriori error estimation method for mixed form of nearly incompressible elasticity. Zbl 1230.74190Masud, Arif; Truster, Timothy J.; Bergman, Lawrence A. 17 2011 Physics-based modeling for fretting behavior of nominally flat rough surfaces. Zbl 1236.74213Eriten, M.; Polycarpou, A. A.; Bergman, L. A. 3 2011 A time-domain nonlinear system identification method based on multiscale dynamic partitions. Zbl 1271.93044Lee, Young S.; Tsakirtzis, Stylianos; Vakakis, Alexander F.; Bergman, Lawrence A.; McFarland, D. Michael 3 2011 Asymptotic analysis of passive nonlinear suppression of aeroelastic instabilities of a rigid wing in subsonic flow. Zbl 1402.76064Gendelman, O. V.; Vakakis, A. F.; Bergman, L. A.; McFarland, D. M. 14 2010 Modelling of nonlinear modal interactions in the transient dynamics of an elastic rod with an essentially nonlinear attachment. Zbl 1222.74028Tsakirtzis, S.; Lee, Y. S.; Vakakis, A. F.; Bergman, L. A.; Mcfarland, D. M. 1 2010 Physics-based modeling for partial slip behavior of spherical contacts. Zbl 1196.74157Eriten, M.; Polycarpou, A. A.; Bergman, L. A. 1 2010 Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments. Zbl 1179.37032Lee, Young S.; Nucera, Francesco; Vakakis, Alexander F.; McFarland, D. Michael; Bergman, Lawrence A. 17 2009 Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols. Zbl 1170.70001Vakakis, Alexander F.; Gendelman, Oleg V.; Bergman, Lawrence A.; McFarland, D. Michael; Kerschen, Gaëtan; Lee, Young Sup 64 2008 Toward a fundamental understanding of the Hilbert-Huang transform in nonlinear structural dynamics. Zbl 1229.70069Kerschen, G.; Vakakis, A. F.; Lee, Y. S.; Mcfarland, D. M.; Bergman, L. A. 6 2008 Impulsive periodic and quasi-periodic orbits of coupled oscillators with essential stiffness nonlinearity. Zbl 1221.34097Kerschen, Gaetan; Gendelman, Oleg; Vakakis, Alexander F.; Bergman, Lawrence A.; Mcfarland, D. Michael 3 2008 Targeted energy transfers in vibro-impact oscillators for seismic mitigation. Zbl 1177.70032Nucera, F.; Vakakis, A. F.; McFarland, D. M.; Bergman, L. A.; Kerschen, G. 26 2007 Theoretical and experimental study of multimodal targeted energy transfer in a system of coupled oscillators. Zbl 1177.70023Kerschen, Gaetan; Kowtko, Jeffrey J.; McFarland, D. Michael; Bergman, Lawrence A.; Vakakis, Alexander F. 11 2007 Complex dynamics and targeted energy transfer in linear oscillators coupled to multi-degree-of-freedom essentially nonlinear attachments. Zbl 1180.70028Tsakirtzis, Stylianos; Panagopoulos, Panagiotis N.; Kerschen, Gaetan; Gendelman, Oleg; Vakakis, Alexander F.; Bergman, Lawrence A. 7 2007 Multi-scaled analysis of the damped dynamics of an elastic rod with an essentially nonlinear end attachment. Zbl 1178.74083Panagopoulos, Panayotis; Georgiades, Fotios; Tsakirtzis, Stylianos; Vakakis, Alexander F.; Bergman, Lawrence A. 3 2007 The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview. Zbl 1103.70011Kerschen, Gaetan; Golinval, Jean-Claude; Vakaris, Alexander F.; Bergman, Lawrence A. 99 2005 Experimental study of non-linear energy pumping occurring at a single fast frequency. Zbl 1349.74011McFarland, D. Michael; Bergman, Lawrence A.; Vakakis, Alexander F. 24 2005 Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment. Zbl 1179.70013Lee, Young Sup; Kerschen, Gaetan; Vakakis, Alexander F.; Panagopoulos, Panagiotis; Bergman, Lawrence; McFarland, D. Michael 24 2005 Irreversible passive energy transfer in coupled oscillators with essential nonlinearity. Zbl 1130.74386Kerschen, Gaetan; Lee, Young Sup; Vakakis, Alexander F.; McFarland, D. Michael; Bergman, Lawrence A. 22 2005 Application of multi-scale finite element methods to the solution of the Fokker-Planck equation. Zbl 1136.82359Masud, Arif; Bergman, Lawrence A. 17 2005 Energy transfers in a system of two coupled oscillators with essential nonlinearity: 1:1 resonance manifold and transient bridging orbits. Zbl 1106.70016Kerschen, Gaetan; Vakakis, Alexander F.; Lee, Young S.; Mcfarland, D. Michael; Kowtko, Jeffrey J.; Bergman, Lawrence A. 16 2005 Transient dynamics of a dispersive elastic wave guide weakly coupled to an essentially nonlinear end attachment. Zbl 1189.74068Vakakis, Alexander F.; Manevitch, Leonid I.; Musienko, Andrey I.; Kerschen, Gaetan; Bergman, Lawrence A. 6 2005 Steady state passive nonlinear energy pumping in coupled oscillators: Theoretical and experimental results. Zbl 1039.70506Jiang, Xiaoai; McFarland, D. Michael; Bergman, Lawrence A.; Vakakis, Alexander F. 28 2003 Dynamic interaction of a semi-infinite linear chain of coupled oscillators with a strongly nonlinear end attachment. Zbl 1067.70020Manevitch, Leonid I.; Gendelman, Oleg; Musienko, Andrey I.; Vakakis, Alexander F.; Bergman, Lawrence 12 2003 A degenerate bifurcation structure in the dynamics of coupled oscillators with essential stiffness nonlinearities. Zbl 1038.70016Gendelman, Oleg; Manevitch, Leonid I.; Vakakis, Alexander F.; Bergman, Lawrence 5 2003 A moment specification algorithm for control of nonlinear systems driven by Gaussian white noise. Zbl 0992.74053Wojtkiewicz, S. F.; Bergman, L. A. 6 2001 A new method for calculating bending moment and shear force in moving load problems. Zbl 1110.74629Pesterev, A. V.; Tan, C. A.; Bergman, L. A. 3 2001 Numerical solution of the four-dimensional nonstationary Fokker-Planck equation. Zbl 1226.70001Wojtkiewicz, S. F.; Bergman, L. A.; Spencer, B. F. jun.; Johnson, E. A. 3 2001 Three-dimensional vibration of cylindrical shell panels – solution by continuum and discrete approaches. Zbl 1162.74375Liew, K. M.; Bergman, L. A.; Ng, T. Y.; Lam, K. Y. 3 2000 Neural networks based colour measuring for process monitoring and control in multicoloured newspaper printing. Zbl 1057.68671Verikas, A.; Malmqvist, K.; Bergman, L. 1 2000 Response of stochastic dynamical systems driven by additive Gaussian and Poisson white noise: Solution of a forward generalized Kolmogorov equation by a spectral finite difference method. Zbl 0956.70003Wojtkiewicz, Steven F.; Johnson, Erik A.; Bergman, Lawrence A.; Grigoriu, Mircea; Spencer, Billie F. jun. 10 1999 Dynamics and control of distributed systems. Zbl 0902.00020 9 1998 Dynamics and control of distributed systems. Zbl 0912.73002 1 1998 Colour classification by neural networks in graphic arts. Zbl 0909.68141Verikas, A.; Malmqvist, K.; Bergman, L.; Signahl, M. 1 1998 Observations with regard to massively parallel computation for Monte Carlo simulation of stochastic dynamical systems. Zbl 0900.70359Johnson, E. A.; Wojtkiewicz, S. F.; Bergman, L. A.; Spencer, B. F. jun. 5 1997 On the cumulant-neglect closure method in stochastic dynamics. Zbl 0926.70030Wojtkiewicz, S. F.; Spencer, B. F. jun.; Bergman, L. A. 6 1996 Robust numerical solution of the Fokker-Planck equation for second order dynamical systems under parametric and external white noise excitations. Zbl 0864.60042Bergman, Lawrence A.; Wojtkiewicz, Steven F.; Johnson, Erik A.; Spencer, Billie F. jun. 3 1996 Monte Carlo simulation of dynamical systems of engineering interest in a massively parallel computing environment: an application of genetic algorithms. Zbl 1045.74613Johnson, Erik A.; Bergman, Lawrence A.; Goldberg, David E.; Dyke, Shirley J. 1 1996 Methods to compute probabilistic measures of robustness for structural systems. Zbl 0949.93511Field, R. V. jun.; Voulgaris, P. G.; Bergman, L. A. 1 1996 The vibration of stepped beams and rectangular plates by an elemental dynamic flexibility method. Zbl 1064.74575Lee, J.; Bergman, L. A. 3 1994 Dynamic Green’s functions for Levy plates. Zbl 0925.73360Bergman, L. A.; Hall, J. K.; Lueschen, G. G. G.; McFarland, D. M. 4 1993 Green functions for transversely vibrating uniform Euler-Bernoulli beams subject to constant axial preload. Zbl 1235.74156Bergman, L. A.; Hyatt, J. E. 1 1989 The dynamic synthesis of general non-conservative structures from separately identified substructure models. Zbl 0558.73080Hale, A. L.; Bergman, L. A. 1 1985 On the reliability of the linear oscillator and systems of coupled oscillators. Zbl 0499.70036Bergman, L. A.; Heinrich, J. C. 5 1982 Petrov-Galerkin finite element solution for the first passage probability and moments of first passage time of the randomly accelerated free particle. Zbl 0468.73097Bergman, L. A.; Heinrich, J. C. 1 1981 Solution of the Pontrjagin-Vitt equation for the moments of time to first passage of the randomly accelerated particle by the finite element method. Zbl 0465.76082Bergman, L. A.; Heinrich, J. C. 2 1980 The location of emergency service facilities. Zbl 0224.90048Toregas, Constantine; Swain, Ralph; ReVelle, Charles; Bergman, Lawrence 160 1971 all cited Publications top 5 cited Publications all top 5 Cited by 707 Authors 28 Vakakis, Alexander F. 23 Bergman, Lawrence A. 20 Lamarque, Claude-Henri 17 Masud, Arif 15 Gendelman, Oleg V. 13 Manevich, Leonid Isaakovich 11 Starosvetsky, Yuli 10 Mcfarland, D. Michael 10 Truster, Timothy J. 8 Kerschen, Gaetan 7 Balthazar, José Manoel 7 Luongo, Angelo 7 Savadkoohi, Alireza Ture 6 Abbaszadeh, Mostafa 6 Al-Shudeifat, Mohammad A. 6 Dehghan Takht Fooladi, Mehdi 6 Hauke, Guillermo 6 Lee, Young Sup 5 Karnaukhova, Tetyana V. 5 Zhang, Xiaohua 5 Zulli, Daniele 4 Charlemagne, Simon 4 Chen, Liqun 4 Chen, Yushu 4 D’Annibale, Francesco 4 Felix, Jorge Luis Palacios 4 Irisarri, Diego 4 Kovaleva, Margarita Alekseevna 4 Lu, Kuan 4 Reese, Stefanie 4 Ture Savadkoohi, A. 4 Vaurigaud, Bastien 3 Abdelkefi, Abdessattar 3 Bamer, Franz 3 Chen, Jianen 3 Chen, Pinlei 3 Dardel, Morteza 3 Desmet, Wim 3 Ghaffari, Rezvan 3 Ghoreishi, Farideh 3 Gourdon, E. 3 Heirman, Gert H. K. 3 Jia, Wantao 3 Jin, Yulin 3 Karnaukhov, Vasyl’ G. 3 Khadem, Siamak Esmaeilzadeh 3 Kirichok, I. F. 3 Koroleva, Irina Pavlovna 3 Markert, Bernd 3 Musienko, Andrey I. 3 Nayfeh, Ali Hasan 3 Ouyang, Jie 3 Pernot, Stéphane 3 Pilipchuk, Valery N. 3 Pyatetskaya, E. V. 3 Saeed, Adnan S. 3 Tsakirtzis, Stylianos 3 Vorotnikov, Kirill 3 Zhang, Lin 3 Zhang, Yewei 3 Zhu, Weiqiu 2 Aduloju, Sunday C. 2 Alsaif, Khalid A. 2 Amabili, Marco 2 Amsallem, David 2 Bab, Saeed 2 Bellizzi, Sergio 2 Beran, Philip S. 2 Bergeot, Baptiste 2 Berger, Sébastien 2 Blanchard, Antoine B. 2 Bobryk, Roman V. 2 Boucinha, L. 2 Buffoni, M. 2 Butcher, Eric A. 2 Cao, Qingjie 2 Carlberg, Kevin T. 2 Chen, Nan 2 Costa, S. N. J. 2 Dai, Huliang 2 Dimitrijević, Zoran 2 Ding, Hu 2 Er, Guokang 2 Etcheverria, Emilie 2 Farhat, Charbel H. 2 Foda, Mosaad A. 2 Franca, Leopoldo Luis Cabo Penna 2 Georgiades, Fotios 2 Gravouil, Anthony 2 Habib, Giuseppe 2 Haller, George 2 Hasan, M. Arif 2 Hjelmstad, Keith D. 2 Hou, Lei 2 Hu, Haiyan 2 Iu, Vai Pan 2 Jiang, Tao 2 Kastian, Steffen 2 Khurram, Rooh A. 2 Kislovsky, V. ...and 607 more Authors all top 5 Cited in 91 Serials 65 Nonlinear Dynamics 45 Computer Methods in Applied Mechanics and Engineering 27 Communications in Nonlinear Science and Numerical Simulation 14 Meccanica 14 Applied Mathematical Modelling 13 Computational Mechanics 10 Acta Mechanica 10 International Journal for Numerical Methods in Engineering 9 Journal of Computational Physics 9 Physica D 8 Mathematical Problems in Engineering 8 Journal of Vibration and Control 7 International Applied Mechanics 6 Chaos 5 European Journal of Mechanics. A. Solids 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 SIAM Journal on Scientific Computing 4 Multibody System Dynamics 3 Computers and Fluids 3 International Journal of Solids and Structures 3 Journal of Fluid Mechanics 3 Physica A 3 Wave Motion 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Applied Numerical Mathematics 3 Archive of Applied Mechanics 3 Continuum Mechanics and Thermodynamics 3 Engineering Analysis with Boundary Elements 3 SIAM Journal on Applied Dynamical Systems 3 Acta Mechanica Sinica 3 AMM. Applied Mathematics and Mechanics. (English Edition) 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Computers & Mathematics with Applications 2 International Journal of Engineering Science 2 Automatica 2 SIAM Journal on Numerical Analysis 2 Proceedings of the Royal Society of London. Series A. 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(English Edition) 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Dynamics and Stability of Systems 1 European Journal of Applied Mathematics 1 International Journal of Computer Mathematics 1 Communications in Numerical Methods in Engineering 1 ETNA. Electronic Transactions on Numerical Analysis 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Regular and Chaotic Dynamics 1 Computational Geosciences 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Sādhanā 1 Structural and Multidisciplinary Optimization 1 International Journal of Computational Methods 1 International Journal of Numerical Analysis and Modeling 1 Mathematical Biosciences and Engineering 1 Boundary Value Problems 1 Inverse Problems in Science and Engineering 1 Communications in Computational Physics 1 Monograph Series on Nonlinear Science and Complexity 1 Advances in Applied Mathematics and Mechanics 1 Science China. Technological Sciences 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Nonlinear Dynamics 1 International Journal of Applied and Computational Mathematics 1 Russian Journal of Nonlinear Dynamics all top 5 Cited in 29 Fields 155 Mechanics of deformable solids (74-XX) 128 Mechanics of particles and systems (70-XX) 92 Numerical analysis (65-XX) 66 Ordinary differential equations (34-XX) 41 Fluid mechanics (76-XX) 33 Dynamical systems and ergodic theory (37-XX) 32 Partial differential equations (35-XX) 31 Systems theory; control (93-XX) 27 Probability theory and stochastic processes (60-XX) 14 Statistical mechanics, structure of matter (82-XX) 11 Statistics (62-XX) 7 Biology and other natural sciences (92-XX) 6 Computer science (68-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 2 Integral equations (45-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year