衝突を伴う1自由度系の定常振動解析

概要

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Collision characteristics are observed in joints and supports of the structures. In analysis of collision characteristics,a bilinear characteristic in which stiffness increases after collision is used. On the other hand, a coefficient of restitution isintroduced. In actual collision phenomena, energy is dissipated and duration of collision is not zero. Energy dissipation ina collision is not considered in the former and duration of collision is assumed to be zero in the latter. In this paper, theforce of restitution is represented as the hysteresis loop characteristic in order to consider energy dissipation in a collisionand duration of collision simultaneously. A quadrilateral hysteresis loop characteristic is used as the hysteresis loopcharacteristic in which the coefficient of restitution is the function of velocity response. A calculation method for thesteady state response of a single-degree-of-freedom system with symmetrical collision characteristic is shown. The forceof restitution is expanded into the Fourier series. In order to improve convergence of the Fourier coefficients, newFourier series are defined. Using the proposed method, a resonance curve is obtained.
東京都立産業技術高等専門学校の論文