具有粘性阻尼作用的粘弹性直杆的纵向振动

Longitudinal Vibration of Viscoelastic Rod Viscously Damped In-span

对具有粘性阻尼作用下的 Kelvin模型粘弹性杆的纵向振动问题 ,通过复数理论 ,将复特征方程化为两个联立的非线性特征方程组 ,分析了无量纲粘性阻尼系数、粘性阻尼作用位置及材料的无量纲松弛时间对一端固定一端自由的 Kelvin粘弹性杆复频率的影响。

Longitudinal vibration of viscoelastic rod under the action of viscous damper in span is studied. By using the complex theory, the complex characteristic equation is reduced to two simultaneously non linear equations. The effect of the dimensionless viscous damper coefficients, locations of viscous damper in span and the dimensionless relaxation time of the viscoelastic materials on the complex frequencies of longitudinally vibrating viscoelastic rod fixed at one end and free at the other, viscously damped by a single damper in span is analyzed.