POWER FLOW ANALYSIS OF INCLINED ISOLATION SYSTEM BASEDVISCOELASTIC FRACTIONAL DERIVATIVE MODEL

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Journal of Vibration and Shock ›› 2010, Vol. 29 ›› Issue (9) : 97-101.

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POWER FLOW ANALYSIS OF INCLINED ISOLATION SYSTEM BASEDVISCOELASTIC FRACTIONAL DERIVATIVE MODEL

CHEN Rong1;SUN Ling-ling1;WU Yin-bing2;Zhao Fei1

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Abstract

A generalized theoretical model for multiple-degrees-of-freedom vibration analysis of isolation system composed of a vibration source, two inclined viscoelastic isolators and a base is developed. The isolators are modeled as Timoshenko beams and mobility formulates for the beam on which flexural and longitudinal waves propagate are given. Viscoelastic fractional derivative model is given to describe the dynamic properties of the viscoelastic isolators. A set of matrix formulas relating the kinematic and dynamitic parameters of input and output terminals are derived in the consideration of the distributed and flexible nature of the mounts, and the expression of power flow transmission is presented. It is found that the viscoelastic isolators are frequency dependent; the standing waves of the isolators are the main reason of slowing down power flow through the system; in medium-high frequency domain, the power flow through the vibration source and foundation decreases with the inclination of the isolators increases

Key words

inclined isolation / Timoshenko beam / viscoelastic fractional derivative model / standing waves / power flow

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CHEN Rong;SUN Ling-ling;WU Yin-bing;Zhao Fei. POWER FLOW ANALYSIS OF INCLINED ISOLATION SYSTEM BASEDVISCOELASTIC FRACTIONAL DERIVATIVE MODEL[J]. Journal of Vibration and Shock, 2010, 29(9): 97-101