多跨悬索面内动态特性分析

发布时间：2018-02-03 19:40

本文关键词： 模态固有频率连续档多跨索动刚度　出处：《应用基础与工程科学学报》2017年04期 　论文类型：期刊论文

【摘要】：以单跨悬索自由振动理论为基础,研究了多跨索面内动态特性.首先获得悬挂端位移激励下单跨索水平张力增量的表达形式,应用动刚度计算单跨索的频率.之后根据位移连续条件及力矩平衡方程,首次提出了基于动刚度法的两跨及三跨索面内固有频率及相应模态计算方法.数值算例表明采用新方法获得的多跨索频率及模态与有限元结果一致,但采用新方法计算多跨索的频率更快捷、方便,根据计算对称模态频率的超越方程还可得到连续档导线不同模态产生共振的条件.本研究建立的新方法方便推广到任意多跨索频率及模态的计算,获得的频率和模态可应用于覆冰输电线气动稳定性及动力响应的理论分析.
[Abstract]:Based on the theory of free vibration of single span suspension cable, the dynamic characteristics of multi-span cable plane are studied. Firstly, the expression of horizontal tension increment is obtained by displacement excitation at the end of suspension. The frequency of single span cable is calculated by using dynamic stiffness, and then according to the displacement continuity condition and moment balance equation. For the first time, a method for calculating the in-plane natural frequencies and corresponding modes of two-span and three-span cables is proposed based on the dynamic stiffness method. Numerical examples show that the multi-span cable frequencies and modes obtained by the new method are consistent with the finite element results. But it is faster and more convenient to use the new method to calculate the frequency of multi-span cable. According to the transcendental equation of calculating symmetric mode frequency, the conditions of resonance in different modes of continuous traverse can be obtained. The new method established in this paper is easy to be extended to the calculation of frequencies and modes of arbitrary multi-span cables. The obtained frequencies and modes can be applied to the theoretical analysis of aerodynamic stability and dynamic response of iced transmission lines.
【作者单位】：重庆交通大学力学系;重庆大学力学系;
【基金】：国家自然科学基金项目(51308570,51277186) 重庆市教委科学技术研究项目(KJ1400302) 博士点联合基金(20125522120003) 重庆市科委基础科学与前沿技术研究(cstc2017jcyj AX0246)
【分类号】：TM752;TU311.3
【正文快照】： 悬索结构由于具有较强的抗拉性能被广泛应用在各工程领域,如斜拉桥、索道以及高压输电线路等.当前以振动理论为基础对拉索参数振动、振动控制、动力响应等问题进行了大量研究,但大多集中于对单跨拉索的研究,多跨的动力响应研究较少.而多跨索发生振动的问题在工程中经常遇到,在

【相似文献】