Modeling Impacts with a Conserving Augmented Lagrangian Method
نویسندگان
چکیده
Abstract. This work analyses a conserving time integration scheme applied to impact dynamics of one or more points against a rigid surface. This rigid surface may represents the boundary of a rigid body or it could represent a rigid cavity inside a body, and it should be represented by an implicit function. The points may be material particles, vertex of a rigid polyhedra, or nodes from a finite element discretization of continuous deformable body. The non-penetration condition is enforced with an augmented Lagrangian technique, which is applied after a regularization of the original unilateral constraint. The analysis of the presented methodology shows that exact enforcement of the non-penetration condition with exact energy conservation is only achieved for some particular geometries and configurations prior to contact. This analysis is supported by two numerical examples that illustrate these difficulties and show the overall performance of the methodology.
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تاریخ انتشار 2007