衝撃接触二体問題のためのペナルティ法による仮想仕事の原理

概要

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This paper investigates that an impact contact force can be expressed as the product series of the penalty functions and the subsidiary contact conditions on a contact area between two bodies. Using the expression of the impact force, all the subsidiary contact conditions are relaxed in a virtual work principle for two bodies, and a penalty function method can be transformed from the concept of a least square method into that of a virtual work method. The use of a virtual work principle makes it easy to formulate a finite element method (FEM). Then, this paper also presents a virtual work principle with penalty functions for various impact contact states of two bodies. A FEM based on this principle is applied to a two-dimensional problem for the longitudinal impact of two bodies. The mean value of impact force by the FEM agrees well with the value from the theory of propagation of one-dimensional elastic stress wave.
一般社団法人日本機械学会の論文
1985-07-25