Steady Impact Vibration of a Body Having Hysteresis Collision Characteristics : 2nd report, System with Quadrilateral Hysteresis Loop Characteristics for Force of Restitution

概要

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Following the first report, steady impact vibrations in a mechanical system subjected to various harmonic exciting forces are analysed by a perfect Fourier series method reinforced by convergent improvement by means of a series transformation. In this report, the hysteresis loop characteristics for force of restitution are assumed to be composed of four straight-line segments. Under this assumption, contrarily to the usual investigations, the coefficient of restitution is not constant and the duration of collision is not zero, but they depend on the colliding velocities and the elastic and plastic behaviors of colliding bodies. The resonance curves, namely curves of the amplitude (X_<max>-X_<min>) /2e_o versus the frequency ratio Ω and the curves of the effective phase lag angles δ versus the frequency ratio Ω for several exciting ratios q/ke_o taken to be constant are obtained by our method utilizing a digital computer. The comparison of the results of numerical computations by the theory with those from an analog computer yields good coincidences.
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