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Unilateral problems of dynamics (1999)

Pfeiffer, F.

Springer

Archive of applied mechanics 69 (1999), S. 503-527

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ISSN: 1432-0681

Schlagwort(e): Key words Unilateral contact ; multibody dynamics ; complementarity ; friction ; impact

Quelle: Springer Online Journal Archives 1860-2000

Thema: Maschinenbau

Notizen: Summary Contact processes may be described by local discretizations, by rigid representation or by mixed methods incorporating both ideas. A rigid body approach is proposed for the dynamics of mechanical systems, achieving good results also for multiple-contact problems. Contacts in multibody systems are mainly considered, with the corresponding contact constraints varying with time, thus generating structure-variant systems. The equations of motion for dynamical systems with such unilateral behavior are discussed, solution methods and applications are presented.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/s004190050240

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Digitale Medien

Multiple impacts with friction in rigid multibody systems (1995)

Glocker, Ch. ; Pfeiffer, F.

Springer

Nonlinear dynamics 7 (1995), S. 471-497

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ISSN: 1573-269X

Schlagwort(e): Impacts with friction ; multibody systems ; unilateral constraints ; complementarity problems

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract An impact model for two-dimensional contact situations is developed which contains the main physical effects of a compliance element in the normal direction and a series of a compliance and Coulomb friction elements in the tangential direction. For systems with multiple impacts a unilateral formulation based on Poisson's hypothesis is used to describe the impulses which are transferred in the normal direction. The event of an impact is divided into two phases. The phase of compression ends with vanishing approaching velocity if normal impulses are transferred and is equivalent to a completely inelastic collision. The phase of expansion allows the bodies to separate under the action of the normal impulses whenever they are large enough. The absolute values of the tangential impulses are bounded by the magnitudes of the normal impulses, due to the Coulomb friction relationship on the impulse level. One part of the transferred tangential impulse during compression is assumed to be partly reversible which may be regarded as an application of Poisson's law. The remaining part is completely irreversible and considered friction. This formulation contains the special case of completely elastic tangential impacts as well as the situation when only Coulomb friction acts. It is proven that the presented impact model is always dissipative or energy preserving. The evaluation of the problem is done by solving one set of complementarity conditions during compression and a nearly identical set of equations during expansion. The theory is applied to some basic examples which demonstrate the difference between Newton's and Poisson's hypotheses.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00121109

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