履歴非線形要素を有する機械振動系の特性解析に関する研究 : 第2報,要素の実測特性に基づく振動特性解析(機械力学,計測,自動制御)

概要

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Vibration isolator of rubber pads has a hysteretic nonlinearity. Function of the vibration isolator has been raised by combining hydraulic device with rubber pads for introducing damping effect and by attaching a stopper to the rubber pads for limiting amplitude. Preisach distribution function, which makes it possible to evaluate equivalent damping coefficient and stiffness in terms of excitation amplitudes and frequencies in equation of motion, was proposed to describe hysteretic nonlinearity, whichever it may be analytically or experimentally provided. In this paper a new simpler method for deriving the distribution function than the previous one, which uztilizes matrix, is proposed. Frequency response characteristics of single-degree-of-freedom with a hydraulic rubber pads was evaluated in terms of equivalent damping coefficient and stiffness, and the comparison with those by time historical analysis and by excitation experiment demonstrates good agreement. Consequently this shows a firm and general design procedure for the mechanical system with such nonlinear element.
社団法人日本機械学会の論文
2004-11-25