畳み込み積分による非線形ばね質量系の振動解析

概要

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A method for calculating the response of nonlinear spring-mass systems subjected to transient force, using the convolution integral is proposed. The response of systems with a localized nonlinear spring is represented in the form of the convolution integral of the nonlinear restoring force which is treated as an external force and can be easily calculated by the forward substitution method after the discretization of time with a small interval. The response of systems connected by a nonlinear spring can also be calculated using impulse responses of subsystems before the connection. Examples of a 4-degrees-of-freedom system with a localized nonlinear spring and of a system in which two 2-degrees-of-freedom systems are connected with a nonlinear spring and a damper are shown. The result of using the convolution integral becomes valid when using a smaller time interval than in the Runge-Kutta-Gill method.
一般社団法人日本機械学会の論文
1997-01-25