考虑减振器弹性刚度时拉索张力的计算分析

Calculation and analysis of cable tension considering elastic stiffness of oscillating damper

为了提高装置减振器斜拉索张力的测试精度,在考虑减振器弹性刚度影响的基础上,建立了装置减振器拉索的振动微分方程。利用Laplace变换即可方便求得拉索的振型函数,结合减振器弹性刚度的中间支承条件,可得到拉索的频率特征方程,利用此频率特征方程就可以求得拉索的频率或张力。由于该方法求得的是精确解析解,因此其计算结果可以用来检验其他工程近似方法的计算精度。研究结果表明:斜拉索的抗弯刚度对斜拉索张力计算的影响不大,所以斜拉索张力计算可以忽略抗弯刚度的影响;减振器弹性刚度对减振器弹性刚度'较大'的斜拉索张力计算影响较大,对减振器弹性刚度'较小'的斜拉索张力计算影响并不十分显著,因此在减振器弹性刚度'较小'的斜拉索张力计算中可以不计减振器弹性刚度的影响。

In order to improve test accuracy of tension of cable with oscillating damper, the vibration differential equation of cable with oscillating damper was established, considering the influence of elastic stiffness of oscillating damper. The vibration shape function of the cable was easily obtained by using the Laplace transform, and the frequency characteristic equation of the cable was obtained with the intermediate support conditions of elastic stiffness of oscillating damper. Then the frequency or tension of cable was obtained by using the frequency characteristic equation. Since the solution obtained by this method is exactly analytical, the results of this method can be used to test the calculation accuracy of other engineering approximate methods. The research results show that the bending cable stiffness has little effect on the cable tension, so the calculation of cable tension can ignore the bending stiffness; the effect of damper elastic stiffness on the cable tension is connected with the magnitudes of damper stiffness, and it increases along with the level of damper stiffness. So the damper elastic stiffness effect is negligible when damper elastic stiffness is small. 2 tabs, 1 fig, 12 refs.