Earthquake Engineering & Structural Dynamics · 1981 · 140 citations · 5 references
EngineeringMechanical EngineeringStructural DynamicsStructural EngineeringVibrationElasticity TheoryFree VibrationStructural OptimizationStructural Response AnalysisStructural VibrationVibration AnalysisEquivalent Single-degree-of-freedom SystemFrequency OptimizationHarmonic ResponseHarmonic Response AnalysisResonant AbsorbersVibration Analysis Of Multibody SystemsVibration Design
Abstract Optimum parameters are determined for absorbers, which, when attached to one mass of a main system with two degrees of freedom, minimize the harmonic response of that mass. Comparison is made with the absorber parameters that are determined by treating the main system as an equivalent one degree‐of‐freedom system and using classical results. Close agreement is obtained if the ratio of the two natural frequencies of the main system is reasonably large. This is in agreement with the author's recent work on optimum absorber parameters which minimize the response of elastic bodies. The extension of the method to multi degree‐of‐freedom main systems is outlined. The conditions for which different values of these parameters are predicted when the response is minimized over narrow and broad frequency bands are determined.
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R. E. D. BISHOP · Nature · 1957 · 1.6K citations · Full text
Vibration and Shock in Damped Mechanical Systems
J. C. Snowdon, D. I. G. Jones · Journal of Applied Mechanics · 1969 · 415 citations · Full text