Principle of Virtual Work for Two Elasto-impact Bodies in Separate State and its Application to Finite Element Method
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概要
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The principles of virtual work for two elasto-impact bodies in a contact state and a separate one are required to formulate the finite element method (FEM) for the behavior of alternation between contact and separation like that of mating gears. The principle and its subsidiary conditions for two separate bodies are obtained by introducing a displacement vector corresponding to clearance and regarding two bodies as a body, and they are used to formulate the FEM for two bodies. Two-dimensional behaviors for longitudinal impact of two rods are investigated to verify the FEM for two elasto-impact bodies in a contact state and a separate one. The results by the FEM agree well with those by the theory of propagation of one-dimensional elastic stress wave. The use of the subsidiary conditions for two separate bodies makes it much easier to discriminate between contact and separation, and it is possible to decrease the executing time for computation. Some remarks are stated in Sec.5.
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