Multibody system simulation. Numerical methods, algorithms, and software

zbMath0945.65092MaRDI QIDQ1306942

Reinhold von Schwerin

Publication date: 18 October 1999

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

zbMATH Keywords

monographsimulationinitial value problemmultibody systemsscientific computationsadaptive Adams methodsdescriptor equations of motion

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Implicit ordinary differential equations, differential-algebraic equations (34A09) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80) (n)-body problems (70F10) Packaged methods for numerical algorithms (65Y15)

Related Items (22)

On the constraints violation in forward dynamics of multibody systems ⋮ A natural absolute coordinate formulation for the kinematic and dynamic analysis of rigid multibody systems ⋮ Twenty-five years of natural coordinates ⋮ On the History of Differential-Algebraic Equations ⋮ DAE Aspects of Multibody System Dynamics ⋮ A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs ⋮ Task-level approaches for the control of constrained multibody systems ⋮ Multibody dynamics with redundant constraints and singular mass matrix: existence, uniqueness, and determination of solutions for accelerations and constraint forces ⋮ A non-damped stabilization algorithm for multibody dynamics ⋮ Efficient and accurate modeling of rigid rods ⋮ A 3D finite element method for flexible multibody systems ⋮ Multibody graph transformations and analysis. II: Closed-chain constraint embedding ⋮ DAE Aspects in Vehicle Dynamics and Mobile Robotics ⋮ Kinematic analysis of multibody systems ⋮ Experiences in teaching multibody dynamics ⋮ Numerical Methods for Parameter Estimation in Nonlinear Differential Algebraic Equations ⋮ A benchmarking system for MBS simulation software: problem standardization and performance measurement ⋮ Chains of rigid bodies and their numerical simulation by local frame methods ⋮ MBSSIM ⋮ Implementation of consequent stabilization method for simulation of multibodies described in absolute coordinates ⋮ Parameter estimation for biomechanical models based on a special form of natural coordinates ⋮ A constraint violation suppressing formulation for spatial multibody dynamics with singular mass matrix

Uses Software

• LAPACK

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