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Unilateral dynamic contact of two beams. (English) Zbl 0991.74046
Summary: We investigate the dynamic unilateral contact between two beams. The contact is modeled with Signorini or normal compliance conditions. The model is given in the form of a variational inequality, for which we establish an existence theorem. A numerical algorithm for the problem is obtained by using the method of lines in which the problem is approximated by a system of ordinary differential equations. Simulation results are given when one of the beams is driven periodically. We also investigate numerically the characteristics of vibration transmission across the joint between the beams.

74M15 Contact in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74H20 Existence of solutions of dynamical problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
Full Text: DOI
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