NON-SMOOTH CONTACT DYNAMICS OF PLANAR MASONRY STRUCTURES USING MATHEMATICAL PROGRAMMING

Abstract eng:
In this paper an incremental formulation for contact dynamic analysis of masonry block structures is presented. The model is composed of rigid bodies interacting at potential contact points located at the vertexes of the block interfaces. A no-tension behavior with finite friction and infinite compressive strength is assumed at contact interfaces. The contact dynamic problem is governed by equilibrium equations, which relate external, inertial and contact forces, and by kinematic equations, which ensure compatibility between contact displacement rates and block degrees of freedom. Quadratic programming is used to solve the optimization problem arising from the formulation of the variational problem associated to dynamics of the block assemblages. To evaluate the accuracy and computational efficiency of the implemented formulation, applications to case studies from the literature are presented.

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