Solving problems with unilateral constraints by DAE methods

被引：9

作者：

Arnold, M

Frischmuth, K

机构：

[1] DLR, German Aerosp Ctr, Inst Robot & Syst Dynam, D-82230 Wessling, Germany

[2] Univ Rostock, Dept Math, D-18051 Rostock, Germany

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 1998年 / 47卷 / 01期

关键词：

differential-algebraic equations; regularization; unilateral constraints; wheel-rail systems;

D O I：

10.1016/S0378-4754(98)00118-9

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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. (C) 1998 IMACS/Elsevier Science B.V.

引用

页码：47 / 67

页数：21