Symbolic processing of multiloop mechanism dynamics using closed-form kinematics solutions
type: Item
instance of: scholarly article
title: Symbolic processing of multiloop mechanism dynamics using closed-form kinematics solutions
zbMATH Open document ID: 0902.70003
DOI: 10.1023/A:1009743909765
author: T. Krupp
author: Andrés Kecskeméthy
author: M. Hiller
published in: Multibody System Dynamics
publication date: 1998-12-02T00:00:00Z
review text: A method to generate automatically the motion equations of multi-loop multibody systems is described. The aim is to find symbolic closed form solutions at position, velocity and acceleration level. The basic idea is to decompose the complex system into a set of independent simple loops, to generate the symbolic equations, and to reassemble the whole system. It turns out that closed form solutions are more efficient for mechanisms for which the constraint equations can be formulated as a system of recursively solvable polynomials of degree two. The described algorithm is impemented in a software package called SYMKIN, which is used to demonstrate the efficiency of the proposed method for two examples, namely a simple wheel suspension, and a rather complicated control mechanism of a helicopter.
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 70B15
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 70B10
zbMATH DE Number: 1080954
zbMATH Keywords: constraint equations
zbMATH Keywords: system of recursively solvable polynomials of degree two
zbMATH Keywords: smallest independent loops
zbMATH Keywords: geometric-algebraic methods
zbMATH Keywords: software package SYMKIN
zbMATH Keywords: wheel suspension
zbMATH Keywords: control mechanism of helicopter
reviewed by: Manfred Husty
MaRDI profile type: Publication
full work available at URL: a:1009743909765
OpenAlex ID: W2344411534
description: scientific article; zbMATH DE number 1080954