Summary
As in the case of the viscously damped dynamic vibration absorber, the steady-state displacement response curves of the main system for a hysteretically damped dynamic vibration absorber also pass through two fixed points for all values of absorber-system damping. One fixed point occurs at a forcing frequency below the main system undamped natural frequency, the other above this frequency. Unlike the case for the viscously damped vibration absorber, in which optimum tuning is determined by equalizing main-system displacement amplitudes at the two fixed points, optimum tuning for the hysteretically damped system occurs for an amplitude lower at the second fixed point than at the first. A detailed numerical study is made for the case of an absorber mass magnitude equal to 20 percent of the main mass magnitude. Constant-amplitude and inertial (“frequency-squared”) harmonic force excitations are used. Optimum conditions on displacement response, velocity response and acceleration response of the main system are evaluated. An electrical dynamical analog used to simulate the steady-state behavior of the hysteretically damped dynamic vibration absorber is shown.
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Soroka, W.W. Hysteretically damped vibration absorber and an equivalent electrical circuit. Experimental Mechanics 5, 53–58 (1965). https://doi.org/10.1007/BF02322911
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DOI: https://doi.org/10.1007/BF02322911