Dynamics of flexible multibody systems using virtual work and linear graph theory

DOI10.1023/A:1009841017268zbMath1003.74030OpenAlexW24829039MaRDI QIDQ1594974

John J. McPhee, Peng-Fei Shi

Publication date: 27 January 2003

Published in: Multibody System Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009841017268

zbMATH Keywords

principle of virtual workflexible multibody systemssymbolic programminglinear graph theorycomputer program DynaFlex

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Thin bodies, structures (74K99) Dynamics of multibody systems (70E55)

Related Items (15)

A Lagrangian multibody code for deriving the symbolic state-space equations of motion for open-loop systems containing flexible beams ⋮ Analysis of multibody systems with flexible plates using variational graph-theoretic methods ⋮ Object-oriented modelling of flexible beams ⋮ Multibody graph transformations and analysis. I: Tree topology systems ⋮ Object-oriented modelling and simulation of a motorcycle ⋮ Graph theoretic foundations of multibody dynamics. I: Structural properties ⋮ Selection of modeling coordinates for forward dynamic multibody simulations ⋮ Multiphysics modeling and optimization of mechatronic multibody systems ⋮ Modelling multibody systems with indirect coordinates ⋮ Dynamic analysis of a flexible slider-crank mechanism with clearance ⋮ Computerized generation of motion equations using variational graph-theoretic methods ⋮ Path defined directed graph vector (\textit{Pgraph}) method for multibody dynamics ⋮ Symbolic integration of multibody system dynamics with the finite element method ⋮ Forming equivalent subsystem components to facilitate the modelling of mechatronic multibody systems ⋮ A logarithmic complexity divide-and-conquer algorithm for multi-flexible-body dynamics including large deformations

Uses Software

• Dymola

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