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开尔文模型粘弹性Timoshenko梁的动力分析与应用
引用本文:胡明勇,王安稳,王智宇,李魁彬.开尔文模型粘弹性Timoshenko梁的动力分析与应用[J].海军工程学院学报,2007,19(5):81-85.
作者姓名:胡明勇  王安稳  王智宇  李魁彬
作者单位:[1]海军工程大学船舶与动力学院,武汉430033 [2]海军工程大学理学院,武汉430033
摘    要:基于Kelvin模型张量形式本构关系导出粘弹性Timoshenko梁自由振动微分方程组,给出两端简支粘弹性梁的固有频率解析解。对粘弹性梁的振动特性进行了分析和比较。以此计算材料开尔文模型粘弹性阻尼系数,结果表明,该方法准确可靠。

关 键 词:开尔文模型  Timoshenko梁  阻尼系数  动力分析  粘弹性
文章编号:1009-3486(2007)05-0081-05
收稿时间:2007-03-17
修稿时间:2007-04-06

Dynamic analysis and application of Timoshenko viscoelastic beam on Kelvin model
Authors:HU Ming-yong  WANG An-wen  WANG Zhi-yu  IA Kui-bin
Abstract:Based on Kelvin model, a set of free vibration equations for viscoelastic beam were derived, and the analytical solutions to the natural frequencies were given for viscoelastic beam on Kelvin model. The vibration behaviors of viescoelastic beam were analyzed and compared. So the coefficient of the viscoelastic materials could be calculated. The results show that the method is accurate and reliable.
Keywords:Kelvin model  Timoshenko beam  damping coefficient  dynamic analysis  viscoelastic
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