Investigation On The Transient Wave And Collision Of Beam-rod Structure

The collisions are frequently encountered in mechanic structures, resulting in the fatigue, wear and vibrations of components causing noise. It is important to study the collision phenomenon in theory and practical applications.By the use of the eigenfunctions, the formulas of the propagation of the transient wave along rod, beam and beam-rod structures are derived in the present paper. The numerical results of these formulas are quite reliable and verified by the boundary conditions. Hence, the approximate formula obtained by Eringen and Suhubi are modified reasonably, and some questions of the use of eigenfunction expansions in practical applications are pointed out.In order to study the collisions between the valve reed and the valve seat, this paper has developed a mechanics model based on the theory of Bernoulli-Euler beam. The exact solution theory analysis and numerical simulation are given for the description of the phenomenon of the multiple collisions between the beam and the rod. The results of the displacement, velocity, and the collision pressure show that the present method is functional and reliable.