考虑刚度及固支边界条件的实用索力求解方法与试验研究

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振动与冲击 ›› 2010, Vol. 29 ›› Issue (7) : 221-224,.

论文

考虑刚度及固支边界条件的实用索力求解方法与试验研究

林立1 ;李胡生2 ;瞿志豪2 ;张雷3

作者信息 +

Practical Solution Method and Experimental Study on the Cable Tension in Consideration of Cable Stiffness and Fixed Boundary Condition

LI Husheng 1; LIN Li2 ;SHI Chunxiang1

Author information +

文章历史 +

摘要

建立了一个非齐次边界拉索力学模型，基于拉索线性振动理论，由考虑拉索抗弯刚度及固支边界条下的拉索频率方程，根据双曲函数的数学特性对频率方程进行了合理简化，得到了实用的频率简化方程；根据频率简化方程的特点，提出了逆过程求解索力的方法和步骤；设计了室内拉索试验模型并进行了54种工况索力试验，比较了不同工况下的计算索力与实际索力，验证了本文提出的频率简化方程和逆过程求解方法的实用可靠性。

Abstract

A cable model on inhomogeneity boundary condition was established. And according to this universal model, the frequency equation in consideration of cable stiffness and fixed boundary condition was deduced based on the linear vibration theory of stay cable. The frequency equation respectively on fixed boundary condition was simplified according to the hyperbolic functions’ mathematical characteristics. Practical solution method and steps of the cable tension were proposed by a converse process. An experimental cable model was designed, and a series of experiments were conducted to compare calculated cable tension with practical cable tension on 54 different work conditions, which verified that the simplified frequency equation and the converse process solution method presented in this paper are practical and dependable.

导出引用

林立;李胡生;瞿志豪;张雷 . 考虑刚度及固支边界条件的实用索力求解方法与试验研究[J]. 振动与冲击, 2010, 29(7): 221-224,

LI Husheng;LIN Li;SHI Chunxiang. Practical Solution Method and Experimental Study on the Cable Tension in Consideration of Cable Stiffness and Fixed Boundary Condition [J]. Journal of Vibration and Shock, 2010, 29(7): 221-224,