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A constraint-stabilized method for multibody dynamics with friction-affected translational joints based on HLCP
1. | Department of Dynamics and Control, Beijing University of Aeronautics and Astronautics, Beijing, 100191, China |
2. | Department of Dynamics and Control, Beijing University of Aeronautics and Astronautics, Beijing 100191, China, China |
References:
[1] |
Paulo Flores, Jorge Ambrósio, J. C. Pimenta Claro and Hamid M. Lankarani, Kinematics and Dynamics of Multibody Systems with Imperfect Joints, in "Lecture Notes in Applied and Computational Mechanics," Springer-Verlag, Berlin Heidelberg, 34 (2008). |
[2] |
Anna Maria Cherubini, Giorgio Metafune and Francesco Paparella, On the Stopping Time of a Bouncing Ball, Discrete and Continuous Dynamical Systems-Series B, 10 (2008), 43-72.
doi: 10.3934/dcdsb.2008.10.43. |
[3] |
Friedrich Pfeiffer, On non-smooth Dynamics, Meccanica, 43 (2008), 533-554.
doi: 10.1007/s11012-008-9139-1. |
[4] |
Mihai Anitescu and Gary D. Hart, A Constraint-stabilized Time-stepping Approach for Rigid Multibody Dynamics with Joints, Contact and Friction, International Journal for Numerical Methods in Engineering, 60 (2004), 2335-2371.
doi: 10.1002/nme.1047. |
[5] |
B. Brogliato, A. A. ten Dam, L. Paoli, F. Génot and M. Abadie, Numerical simulation of finite dimensional multibody nonsmooth mechanical systems, Applied Mechanics Reviews, 55 (2002), 107-150.
doi: 10.1115/1.1454112. |
[6] |
R. I. Leine, D. H. Van Campen and C. H. Clocker, Nonlinear Dynamics and Modeling of Various Wooden Toys with Impact and Friction, Journal of Vibration and Control, 9 (2003), 25-78. |
[7] |
Friedrich Pfeiffer, Martin Foerg and Heinz Ubrlch, Numerical aspects of non-smooth multibody dynamics, Computer Methods in Applied Mechanics and Engineering, 195 (2006), 6891-6908.
doi: 10.1016/j.cma.2005.08.012. |
[8] |
P. Flores, J. Ambrósio, J. C. P. Claro and H. M. Lankarani, Translational joints with clearance in rigid multibody systems, Journal of Computational and Nonlinear Dynamics, 011007(3) (2008), 1-10. |
[9] |
JY. Han, NH. Xiu and HD. Qi, "Theory and Algorithms of Nonlinear Complementarity," Shanghai Scientific and Technical Publishers, Shanghai, 2006(in Chinese). |
[10] |
H. J. Klepp, Trial-and-error based method for the investigation of multi-body systems with Friction, Journal of Sound and Vibration, 197 (1996), 629-637.
doi: 10.1006/jsvi.1996.0552. |
[11] |
H. J. Klepp, The existence and uniqueness of solutions for a single-degree-of-freedom system with two frition-affected sliding joints, Journal of Sound and Vibration, 185 (1995), 364-371.
doi: 10.1006/jsvi.1995.0385. |
[12] |
H. J. Klepp, Modes of contact and uniqueness of solutions for systems with friction-affected sliders, Journal of Sound and Vibration, 254 (2002), 987-996.
doi: 10.1006/jsvi.2001.4147. |
[13] |
HL. Peng, SM. Wang, Q. Wang, et al, Modeling and Simulation of Multi-body Systems with Multi-friction and Fixed Bilateral Constraint, Chinese Journal of Theoretial and Applied Mechanics, 41 (2009), 105-112. |
[14] |
Richard W. Cottle, Jong-Shi Pang and Richard E. Stone, "The Linear Complementarity Problem," Academic Press, Boston, c1992. |
show all references
References:
[1] |
Paulo Flores, Jorge Ambrósio, J. C. Pimenta Claro and Hamid M. Lankarani, Kinematics and Dynamics of Multibody Systems with Imperfect Joints, in "Lecture Notes in Applied and Computational Mechanics," Springer-Verlag, Berlin Heidelberg, 34 (2008). |
[2] |
Anna Maria Cherubini, Giorgio Metafune and Francesco Paparella, On the Stopping Time of a Bouncing Ball, Discrete and Continuous Dynamical Systems-Series B, 10 (2008), 43-72.
doi: 10.3934/dcdsb.2008.10.43. |
[3] |
Friedrich Pfeiffer, On non-smooth Dynamics, Meccanica, 43 (2008), 533-554.
doi: 10.1007/s11012-008-9139-1. |
[4] |
Mihai Anitescu and Gary D. Hart, A Constraint-stabilized Time-stepping Approach for Rigid Multibody Dynamics with Joints, Contact and Friction, International Journal for Numerical Methods in Engineering, 60 (2004), 2335-2371.
doi: 10.1002/nme.1047. |
[5] |
B. Brogliato, A. A. ten Dam, L. Paoli, F. Génot and M. Abadie, Numerical simulation of finite dimensional multibody nonsmooth mechanical systems, Applied Mechanics Reviews, 55 (2002), 107-150.
doi: 10.1115/1.1454112. |
[6] |
R. I. Leine, D. H. Van Campen and C. H. Clocker, Nonlinear Dynamics and Modeling of Various Wooden Toys with Impact and Friction, Journal of Vibration and Control, 9 (2003), 25-78. |
[7] |
Friedrich Pfeiffer, Martin Foerg and Heinz Ubrlch, Numerical aspects of non-smooth multibody dynamics, Computer Methods in Applied Mechanics and Engineering, 195 (2006), 6891-6908.
doi: 10.1016/j.cma.2005.08.012. |
[8] |
P. Flores, J. Ambrósio, J. C. P. Claro and H. M. Lankarani, Translational joints with clearance in rigid multibody systems, Journal of Computational and Nonlinear Dynamics, 011007(3) (2008), 1-10. |
[9] |
JY. Han, NH. Xiu and HD. Qi, "Theory and Algorithms of Nonlinear Complementarity," Shanghai Scientific and Technical Publishers, Shanghai, 2006(in Chinese). |
[10] |
H. J. Klepp, Trial-and-error based method for the investigation of multi-body systems with Friction, Journal of Sound and Vibration, 197 (1996), 629-637.
doi: 10.1006/jsvi.1996.0552. |
[11] |
H. J. Klepp, The existence and uniqueness of solutions for a single-degree-of-freedom system with two frition-affected sliding joints, Journal of Sound and Vibration, 185 (1995), 364-371.
doi: 10.1006/jsvi.1995.0385. |
[12] |
H. J. Klepp, Modes of contact and uniqueness of solutions for systems with friction-affected sliders, Journal of Sound and Vibration, 254 (2002), 987-996.
doi: 10.1006/jsvi.2001.4147. |
[13] |
HL. Peng, SM. Wang, Q. Wang, et al, Modeling and Simulation of Multi-body Systems with Multi-friction and Fixed Bilateral Constraint, Chinese Journal of Theoretial and Applied Mechanics, 41 (2009), 105-112. |
[14] |
Richard W. Cottle, Jong-Shi Pang and Richard E. Stone, "The Linear Complementarity Problem," Academic Press, Boston, c1992. |
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