Titlebook: Computational Flexible Multibody Dynamics; A Differential-Algeb Bernd Simeon Book 2013 Springer-Verlag Berlin Heidelberg 2013 Differential-

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Time Integration Methodsous presence of constraints and different time scales. This combination leads, as analyzed in the foregoing chapter, to a stiff differential-algebraic system. We investigate here the behavior of numerical methods for such problems, with particular focus on the well-established implicit integrators t

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Numerical Case Studies modules with powerful libraries for all kinds of applications. Since it would be beyond the scope of this monograph to cover such specific topics to a large extent, we focus instead in this final chapter on case studies that illustrate some of the numerical issues discussed before. As examples for

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Time Integration Methodsiff mechanical system converges. At the end of this chapter, we also introduce extensions of the generalized-. method and of the implicit midpoint rule to the differential-algebraic case and investigate their potential for mechanical multibody systems.

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Psychologische Aspekte der Stillsituation, are an option and usually superior to explicit methods. For a mechanical system, this form of numerical stiffness is directly associated with large stiffness forces, and thus the notion of a stiff mechanical system has a twofold meaning.

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Psychologische Aspekte der Stillsituation,iff mechanical system converges. At the end of this chapter, we also introduce extensions of the generalized-. method and of the implicit midpoint rule to the differential-algebraic case and investigate their potential for mechanical multibody systems.

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2199-7497 addressed by taking a differential-algebraic approach and extending it to the notion of transient saddle point problems.978-3-642-35157-0978-3-642-35158-7Series ISSN 2199-7497 Series E-ISSN 2199-840X

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