基于Timoshenko梁理论的斜置隔振系统功率流特性分析

陈 荣;孙玲玲;吴银兵;赵 飞

振动与冲击 ›› 2010, Vol. 29 ›› Issue (9) : 97-101.

PDF(1178 KB)
PDF(1178 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (9) : 97-101.
论文

基于Timoshenko梁理论的斜置隔振系统功率流特性分析

  • 陈 荣1;孙玲玲1;吴银兵2;赵 飞1
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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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摘要

针对工程中常见的斜置隔振装置,建立了复杂振源激励、粘弹性斜置支承与基础梁结构三维耦合隔振系统动力学模型。把隔振器模化为Timoshenko梁,给出了梁纵向、弯曲振动导纳。引入粘弹性分数导数模型来描述粘弹性隔振器的动态特性,并考虑隔振支承多维波动效应,推导了耦合系统动态特性传递矩阵及功率流表达式。数值模拟计算表明,粘弹性隔振器是频率相关的;隔振器高频共振形成驻波是输入系统功率下降趋势变缓的主要原因;在中高频域,输人基础的功率随倾斜角增大而降低。

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

关键词

斜置隔振 / Timoshenko梁 / 粘弹性分数导数模型 / 驻波 / 功率流

Key words

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

引用本文

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陈 荣;孙玲玲;吴银兵;赵 飞. 基于Timoshenko梁理论的斜置隔振系统功率流特性分析[J]. 振动与冲击, 2010, 29(9): 97-101
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

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