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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 the testing accuracy of the cable tension of the device absorber, the differential equations of vibration of the cable are established based on the influence of the elastic stiffness of the absorber. Laplace transform can be used to obtain the mode shape function of the cable easily. Combined with the middle support condition of the elastic stiffness of the shock absorber, the frequency characteristic equation of the cable can be obtained. By using this frequency characteristic equation, the frequency or tension of the cable . Since this method is an exact analytical solution, its calculation results can be used to test the accuracy of other engineering approximation methods. The results show that the flexural rigidity of stay cables has little effect on the calculation of stay cable tension. Therefore, the calculation of stay cable tension can neglect the effect of flexural rigidity. Big “diagonal cable tension calculation of greater impact on the elastic stiffness of the absorber ” smaller "of the cable tension calculation is not very significant, so the elastic stiffness of the damper The calculation of stay cable tension can not consider the impact of the elastic stiffness of the shock absorber.