开尔文模型粘弹性Timoshenko梁的动力分析与应用

Dynamic analysis and application of Timoshenko viscoelastic beam on Kelvin model

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。

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.