Generation and solution of multibody system equations

[1]  C. W. Gear,et al.  Simultaneous Numerical Solution of Differential-Algebraic Equations , 1971 .

[2]  J. Baumgarte.  Stabilization of constraints and integrals of motion in dynamical systems , 1972 .

[3]  Jr. John William Starner.  A numerical algorithm for the solution of implicit algebraic-differentialsystems of equations. , 1976 .

[4]  J. Wittenburg,et al.  Dynamics of systems of rigid bodies , 1977 .

[5]  M. A. Chace,et al.  A Sparsity-Oriented Approach to the Dynamic Analysis and Design of Mechanical Systems—Part 1 , 1977 .

[6]  D. Luenberger.  Dynamic equations in descriptor form , 1977 .

[7]  A. Hindmarsh.  LSODE and LSODI, two new initial value ordinary differential equation solvers , 1980, SGNM.

[8]  E. Haug,et al.  Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamic Systems , 1982 .

[9]  W. Rheinboldt.  Differential-algebraic systems as differential equations on manifolds , 1984 .

[10]  Jean-Claude Samin,et al.  A multibody approach for dynamic investigation of rolling systems , 1984 .

[11]  Oskar Wallrapp,et al.  A computer-oriented method for reducing linearized multibody system equations by incorporating constraints , 1984 .

[12]  P. Likins,et al.  Singular Value Decomposition for Constrained Dynamical Systems , 1985 .

[13]  C Fuhrer.  ON THE DESCRIPTION OF CONSTRAINED MECHANICAL SYSTEMS BY DIFFERENTIAL ALGEBRAIC EQUATIONS , 1985 .

[14]  Richard H. Lathrop,et al.  Constrained (closed-loop) robot simulation by local constraint propagation , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[15]  Martin Otter,et al.  A very efficient algorithm for the simulation of robots and similar multibody systems without invers , 1986 .

[16]  E. Griepentrog,et al.  Differential-algebraic equations and their numerical treatment , 1986 .

[17]  Per Lötstedt,et al.  Numerical solution of nonlinear differential equations with algebraic constraints I: Convergence results for backward differentiation formulas , 1986 .

[18]  Roy Featherstone,et al.  Robot Dynamics Algorithms , 1987 .

[19]  P. Deuflhard,et al.  One-step and extrapolation methods for differential-algebraic systems , 1987 .

[20]  E. Haug,et al.  A Recursive Formulation for Constrained Mechanical System Dynamics: Part II. Closed Loop Systems , 1987 .

[21]  C. Woernle.  Ein systematisches Verfahren für die Rückwärtstransformation bei Industrierobotern , 1987, Robotersysteme.

[22]  R. Schwertassek.  Multibody Kinematical Equations in Terms of Relative Variables , 1988 .

[23]  R. Schwertassek,et al.  Representation of Joints in Multibody Systems , 1988 .

[24]  S. K. Ider,et al.  DETERMINATION OF CONSTRAINT FORCES IN MULTIBODY SYSTEMS DYNAMICS USING KANE'S EQUATIONS. , 1988 .

[25]  Ronald L. Huston,et al.  Dynamics of Multibody Systems , 1988 .

[26]  R. Schwertassek,et al.  Recursive Generation of Multibody System Equations in Terms of Graph Theoretic Concepts , 1989 .

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