Solving problems with unilateral constraints by DAE methods

Martin Arnold and Kurt Frischmuth

Mathematics and Computers in Simulation (MATCOM), 1998, vol. 47, issue 1, 47-67

Abstract: We study trajectories of mechanical systems with unilateral constraints under the additional assumption that always a given number of constraints is active. A reformulation as a problem with bilateral conditions yields a drastic reduction in the number of constraints, but in general, we are faced with regularity problems. We illustrate our approach in the special case of a dynamical rigid body contact problem. In particular, we present a regularization technique which leads to the definition of generalized solutions and a quite effective numerical method on the basis of algorithms for differential–algebraic systems. The results are applied to a wheel–rail contact problem of actual interest to railway engineers.

Keywords: Differential-algebraic equations; Regularization; Unilateral constraints; Wheel-rail systems (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:47:y:1998:i:1:p:47-67

DOI: 10.1016/S0378-4754(98)00118-9

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