The dynamics of a deformable body experiencing large displacements

W.P. Koppens, A.A.H.J. Sauren, D.H. Campen, van, F.E. Veldpaus

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Abstract

The displacements are resolved into displacements due to deformation and displacements due to rigid body motion. The former are approximated with a linear combination of assumed displacement fields. D'Alembert's principle is used to derive the equations of motion. For this purpose, the rigid body displacements and the displacements due to deformation have to be independent. Commonly employed conditions for achieving this are reviewed. Some conditions lead to simpler equations of motion and a sparser mass matrix, resulting in CPU time savings when used in a multibody program. This is illustrated with a uniform beam and a crank-slider mechanism
Original languageEnglish
Pages (from-to)676-680
JournalJournal of Applied Mechanics : Transactions of the ASME
Volume55
Issue number3
Publication statusPublished - 1988

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