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粘弹性梁的动力响应

Dynamic Response of Viscoelastic Beam

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【作者】 孙家驹金开骅

【Author】 Sun Jia-ju (Northwestern Institute of Architecture and Construction, Xian)Jing Ke-hwa (Design Department, Construction Bureau, Ministry of Railway)

【机构】 西安西北建筑工程学院铁道部建厂局设计处

【摘要】 本文利用Voigt力学模型对粘弹性简支梁进行动力分析,得到了梁的自由振动与强迫振动的若干解析解的表达式.并与S.Timoshenko给出的弹性简支梁的相应的结论进行了比较,指出了弹性动力分析的局限性.最后给出了二个数值例子.

【Abstract】 The dynamic analysis of viscoelastic simple supported beam has been made in accordance with the relationship between stress and strain expressed by the Voigt mechanical model as well as several analysis expressions have been obtained.It is shown that the reduction of the ratio of natural frequencies progresses with the increase of exciting frequency for high models [Tab. 1]. In the final part of this paper, the forced vibration of supported beam is subjected to a random and harmonic excitation which has also been dealt with and the representations of the beam deflection have been derived.

  • 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,1981年02期
  • 【被引频次】13
  • 【下载频次】173
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