Dynamic Simulations of Multibody Systems

Computational dynamics.- Hierarchical representation of 3D polyhedra.- Particle systems.- Rigid body systems.- Articulated rigid body systems.- Appendices: Useful 3D geometrical constructions. Numerical solution of ordinary differential equations of motion. Quaternions. Rigid body mass properties. Useful time derivatives. Convex decomposition of 3D polyhedra. Linear complementarity problem. Software implementation.

[1]  I. M. Pyshik,et al.  Table of integrals, series, and products , 1965 .

[2]  G. Dantzig,et al.  COMPLEMENTARY PIVOT THEORY OF MATHEMATICAL PROGRAMMING , 1968 .

[3]  Steven Skiena,et al.  The Algorithm Design Manual , 2020, Texts in Computer Science.

[4]  Aristides A. G. Requicha,et al.  Algorithms for computing the volume and other integral properties of solids. I. known methods and open issues , 1982, CACM.

[5]  R. Featherstone.  The Calculation of Robot Dynamics Using Articulated-Body Inertias , 1983 .

[6]  Bernard Chazelle,et al.  Convex Partitions of Polyhedra: A Lower Bound and Worst-Case Optimal Algorithm , 1984, SIAM J. Comput..

[7]  Per Lötstedt.  Numerical Simulation of Time-Dependent Contact and Friction Problems in Rigid Body Mechanics , 1984 .

[8]  Ken Shoemake,et al.  Animating rotation with quaternion curves , 1985, SIGGRAPH.

[9]  Michael Ian Shamos,et al.  Computational geometry: an introduction , 1985 .

[10]  B. Joe.  Delaunay Triangular Meshes in Convex Polygons , 1986 .

[11]  J. Keller.  Impact With Friction , 1986 .

[12]  I. Duff,et al.  Direct Methods for Sparse Matrices , 1987 .

[13]  John C. Platt,et al.  Elastically deformable models , 1987, SIGGRAPH.

[14]  James K. Hahn,et al.  Realistic animation of rigid bodies , 1988, SIGGRAPH.

[15]  Ahmed A. Shabana,et al.  Dynamics of Multibody Systems , 2020 .

[16]  David Baraff,et al.  Analytical methods for dynamic simulation of non-penetrating rigid bodies , 1989, SIGGRAPH.

[17]  James Arvo.  A simple method for box-sphere intersection testing , 1990 .

[18]  Andrew S. Glassner.  Useful 3D geometry , 1990 .

[19]  David Baraff,et al.  Curved surfaces and coherence for non-penetrating rigid body simulation , 1990, SIGGRAPH.

[20]  David Baraff,et al.  Coping with friction for non-penetrating rigid body simulation , 1991, SIGGRAPH.

[21]  Phillip J. McKerrow,et al.  Introduction to robotics , 1991 .

[22]  Chandrajit L. Bajaj,et al.  Convex Decomposition of Polyhedra and Robustness , 1992, SIAM J. Comput..

[23]  Daniel Thalmann,et al.  Dressing animated synthetic actors with complex deformable clothes , 1992, SIGGRAPH.

[24]  Audra E. Kosh,et al.  Linear Algebra and its Applications , 1992 .

[25]  John C. Hart,et al.  Visualizing quaternion rotation , 1994, TOGS.

[26]  David Baraff,et al.  Fast contact force computation for nonpenetrating rigid bodies , 1994, SIGGRAPH.

[27]  Georg Glaeser,et al.  Fast Algorithms for 3D-Graphics , 1994, Springer Berlin Heidelberg.

[28]  Xavier Provot,et al.  Deformation Constraints in a Mass-Spring Model to Describe Rigid Cloth Behavior , 1995 .

[29]  Dinesh Manocha,et al.  OBBTree: a hierarchical structure for rapid interference detection , 1996, SIGGRAPH.

[30]  Brian Mirtich,et al.  Impulse-based dynamic simulation of rigid body systems , 1996 .

[31]  Berend Smit,et al.  Understanding molecular simulation: from algorithms to applications , 1996 .

[32]  Tomas Akenine-Möller,et al.  A Fast Triangle-Triangle Intersection Test , 1997, J. Graphics, GPU, & Game Tools.

[33]  Gino van den Bergen.  Efficient Collision Detection of Complex Deformable Models using AABB Trees , 1997, J. Graphics, GPU, & Game Tools.

[34]  A. Witkin,et al.  Partitioned Dynamics , 1997 .

[35]  Elmer G. Gilbert,et al.  The Gilbert-Johnson-Keerthi distance algorithm: a fast version for incremental motions , 1997, Proceedings of International Conference on Robotics and Automation.

[36]  Hiromasa Suzuki,et al.  Simulation of rigid body motion with impulsive friction force , 1997, Proceedings of the 1997 IEEE International Symposium on Assembly and Task Planning (ISATP'97) - Towards Flexible and Agile Assembly and Manufacturing -.

[37]  Stephen Cameron,et al.  Enhancing GJK: computing minimum and penetration distances between convex polyhedra , 1997, Proceedings of International Conference on Robotics and Automation.

[38]  Xavier Provot,et al.  Collision and self-collision handling in cloth model dedicated to design garments , 1997, Computer Animation and Simulation.

[39]  Grit Thürmer,et al.  Computing Vertex Normals from Polygonal Facets , 1998, J. Graphics, GPU, & Game Tools.

[40]  Brian Mirtich.  Rigid Body Contact: Collision Detection to Force Computation , 1998 .

[41]  Andrew P. Witkin,et al.  Large steps in cloth simulation , 1998, SIGGRAPH.

[42]  Brian Mirtich,et al.  V-Clip: fast and robust polyhedral collision detection , 1998, TOGS.

[43]  Hans-Peter Seidel,et al.  Directed Edges - A Scalable Representation for Triangle Meshes , 1998, J. Graphics, GPU, & Game Tools.

[44]  Mark L. Wilkins,et al.  Computer Simulation of Dynamic Phenomena , 1999 .

[45]  Georgios Papaioannou,et al.  Intersection Test for Collision Detection in Particle Systems , 1999, J. Graphics, GPU, & Game Tools.