質量・ばね・がた系の片ばね2倍調波共振への減衰効果の精算

概要

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Piecewise linear vibration of a linearly damped mass under a cosine excitation combined with a stationary force, where only one side of the clearance rattles, is computed for plotting 2c/f^2 versus both the largest and the smallest exciting frequency ratio Ω to sustain a stable ultraharmonic resonance of the second order, where c, f and Ω are the ratio of damping to critical damping, the ratio of cosine force amplitude to body force, and the ratio of exciting frequency to the natural frequency of the mass-spring system, respectively. This results in a series of curves depending on parameter f. The curves show that ultraharmonic resonance never occurs if 2c/f^2 ≧ 0.1864 at any f-value. Conversely, to develop the resonanse, (1) the plotted condition of 2c/f^2 versus Ω and f should be met, and (2) appropriate initial conditions of motion should be given.
社団法人日本機械学会の論文
1993-07-25