A symbolic approach for automatic generation of the equations of motion of multibody systems
type: Item
instance of: scholarly article
title: A symbolic approach for automatic generation of the equations of motion of multibody systems
zbMATH Open document ID: 1124.70002
DOI: 10.1023/B:MUBO.0000044319.63215.22
published in: Multibody System Dynamics
publication date: 2005-03-15T00:00:00Z
review text: The paper deals with methods and procedures for automatic generation of dynamical equations of multibody systems by means a Maple package called 'MBSymba'. The authors give a brief survey of the current state in the field of multibody systems modeling. As a case study, a model of a motorcycle (model of four rigid bodies with the five degrees of freedom) is considered. The first step in modeling of a multibody system is the description of its initial objects (such as points, vectors, rigid bodies, forces and torques) and relationships between them, including some additional variables and equations, which may define the control or another object subsystems. All classical methods for deriving equations of motion can be codified by standard sequence of operations. The authors describe a set of commands for deriving second-order Lagrange's equations. The possibilities of package procedures for linearizing and manipulating equations are illustrated by considering the stability, control design or optimization. All described package procedures are designed for generating C or Fortran codes for numerical simulations.
reviewed by: A. M. Kovalev
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 70E55
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 2146245
zbMATH Keywords: stability
zbMATH Keywords: Maple package 'MBSymba'
zbMATH Keywords: motorcycle
zbMATH Keywords: second-order Lagrange equations
author: Roberto Lot
author: Mauro Da Lio
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: b:mubo.0000044319.63215.22
OpenAlex ID: W2033408078
description: scientific article; zbMATH DE number 2146245