A Virtual Work Principle Using Penalty Function Method for Impact Contact Problems of Two Bodies

概要

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This paper presents that an impact contact force can be expressed as a product series of penalty functions and subsidiary contact conditions on a contact area between two bodies. Using the expression of the impact force, all the subsidiary conditions are included in a virtual work principle for two bodies, and penalty function method can be transformed from the method of a least square into that of a virtual work. This paper also describes a virtual work principle using penalty functions for various impact contact states of two bodies. A two-dimensional response for longitudinal elastic impact of two uniform rods is calculated using a finite element method (FEM) based on this principle, in order to examine the validity of the impact force. The mean value of the impact force by the FEM agrees with the value from the one-dimensional theory of propagation of elastic stress wave.
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