先端に非対称な当たりのある片持ばりの強制振動解析

概要

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The nonlinear vibrating system with an unsymmetrical piecewise-linear characteristic is of great importance for several engineering applications since it is related to aseismic design of mechanical systems and performance of industrial equipment or communications apparatus. Especially, the system with collision which can be observed in an equipment-piping system of industrial plants is a very interesting system since it has strongly nonlinear characteristics and is related to chaotic motion. We have analyzed the response of nonlinear vibration in order to develop a most practical analytical method of the nonlinear system. This paper deals with the fundamental nonliner vibrations of a cantilever. The results of the analysis give a guideline for the design of mechanical systems and an elementary knowledge on chaos. In this paper, an analytical method of approximate solution for the steady-state response of the cantilever with unsymmetrical collision characteristics in which the beam end collides with the stop once in one period of its vibration is presented. Some numerical examples are shown. Finally, some numerical results obtained as a continuous system are compared with those of a single-degree-of-freedom system.
社団法人日本機械学会の論文
1995-08-25