The theory and application of a classical Eulerian multibody code

D.I.M. Forehand, M.P. Cartmell, R. Khanin

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The topic of multibody analysis deals with the automatic generation and subsequent solution of the equations of motion for a system of interconnected bodies. Many academic and industrial computer programs have been developed to carry out this task. However, although some of these programs can obtain the equations of motion in fully symbolic form, it is believed that all the existing programs for multibody analysis solve these equations numerically. The idea behind the research which underpins this paper is to select and implement a symbolic version of an existing multibody algorithm and then to integrate it with a recently developed solver which can obtain approximate analytical solutions to the equations of motion. The present paper deals with the selection of this multibody method. The theory behind the chosen method (the Roberson and Schwertassek algorithm) is described in some detail but also in a much more concise form than can be found in the literature. In addition, a fully worked example of the application of the multibody algorithm to a practical physical problem is given. Such examples are rare in the literature, and so it is intended that this paper can serve as a basis for enhanced didactic practice in this traditionally difficult subject area.
Original languageEnglish
Pages (from-to)149-176
Number of pages28
JournalInternational Journal of Mechanical Engineering Education
Volume33
Issue number2
DOIs
Publication statusPublished - 30 Apr 2005

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Equations of motion
data processing program
didactics
Computer program listings
literature

Keywords

  • multibody analysis
  • Eulerian approach
  • graph theory
  • relative or joint coordinates
  • symbolic dynamic analysis

Cite this

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title = "The theory and application of a classical Eulerian multibody code",
abstract = "The topic of multibody analysis deals with the automatic generation and subsequent solution of the equations of motion for a system of interconnected bodies. Many academic and industrial computer programs have been developed to carry out this task. However, although some of these programs can obtain the equations of motion in fully symbolic form, it is believed that all the existing programs for multibody analysis solve these equations numerically. The idea behind the research which underpins this paper is to select and implement a symbolic version of an existing multibody algorithm and then to integrate it with a recently developed solver which can obtain approximate analytical solutions to the equations of motion. The present paper deals with the selection of this multibody method. The theory behind the chosen method (the Roberson and Schwertassek algorithm) is described in some detail but also in a much more concise form than can be found in the literature. In addition, a fully worked example of the application of the multibody algorithm to a practical physical problem is given. Such examples are rare in the literature, and so it is intended that this paper can serve as a basis for enhanced didactic practice in this traditionally difficult subject area.",
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The theory and application of a classical Eulerian multibody code. / Forehand, D.I.M.; Cartmell, M.P.; Khanin, R.

In: International Journal of Mechanical Engineering Education, Vol. 33, No. 2, 30.04.2005, p. 149-176.

Research output: Contribution to journalArticle

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