Foreced Vibration Analysis of a Straight-Line Beam Structure with Nonlinear Support Elements : 1st Report, Suggestin of Incremental Transfer Stiffness Coefficient Method

Abstract

The incremental transfer stiffness coefficient method is developed in order to analyze the periodic steady-state vibrations of a large-scale structure having locally strong nonlinear elements. The present method is based on the concepts of the method of harmonic balance, the transfer stiffness coefficient method and the incremental method. Firstly, in the present method, the structure treated is separated into the linear parts and the nonlinear elements, and the inner degrees of freedom of the linear parts are eliminated from the process of successive approximation for the solution by applying the transfer stiffness coefficient method. Secondly, the computation technique as the transfer influence coefficient method is applied to the above process to reduce the computation cost remark-ably. As a fundamental example, an algorithm based on the present method is formulated to analyze the in-plane flexural forced vibration of the straight-line beam structure supported by the nonlinear base support elements.