粘弹性Timoshenko梁的动力学普遍方程及其动态特性分析

肖灿章; 计伊周; 常保平

粘弹性Timoshenko梁的动力学普遍方程及其动态特性分析

陕西机械学院

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出版历程
- 收稿日期: 1988-10-12
- 刊出日期: 1990-02-15

General Dynamic Equation and Dynamical Characteristics of Viscoelastic Timoshenko Beams

Research Division of Engineering Mechanics, Shanxi Institute of Mechanical Engineering, Xi'an

摘要

摘要: 本文用直接力法在时域内推导了粘弹性Timoshenko梁的控制微分方程,它同时计及了材料的拉伸粘性和剪切粘性.为了测定标准线性固体的复模量和三参数,对有机玻璃(PMMA)和尼龙6(PCL)试件成功地应用了强迫振动梁技术.通过大量数值计算,对粘弹性Timoshenko梁的动力特性,特别是阻尼特性进行了分析.结果表明,材料粘性对结构的动力特性,尤其是对阻尼有较大影响。对于高粘性材料,其动力学性质用标准线性固体模型来描写是合适的.

Abstract: In this paper,a governing differential equation of viscoelastic Timoshenko beam including both extension and shear viscosity is developed in the time domain by direct method.To measure the complex moduli and three parameters of standard linear solid,the forced vibration technique of beam is successfully used for PCL and PMMA specimens.The dynamical characteristics of viscoelastic Timoshenko beams,especially the damping properties,are derived from a considerable number of numerical computations.The analyses show that the viscosity of materials has great influence on dynamical characteristics of structures,especially on damping,and the standard linear solid model is the better one for describing the dynamic behavior of high viscous materials.

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参考文献(13)

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