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不同初拉力拉索对温度变化的敏感性分析

ISSN号：1672-7207
期刊名称：中南大学学报(自然科学版)
时间：2014.5.26
页码：1680-1685
分类：U443.38[建筑科学—桥梁与隧道工程;交通运输工程—道路与铁道工程]
作者机构：[1]湖南大学土木工程学院,湖南长沙410082, [2]湖南大学机械与运载工程学院,湖南长沙410082
相关基金：国家自然科学基金资助项目（11032004,11102063,11002030）
相关项目：大跨度斜拉桥的非线性建模理论及其动力学研究

关键词：拉索, 温度变化, 索力, 频率, 敏感性, cable, temperature changes, cable tension force, frequencies, sensitivity

中文摘要：

为研究不同初始张拉力下拉索索力及模态频率对温度变化的敏感性,引入拉索热应力平衡状态,从理论上推导出考虑温差影响下的索力与正/反对称模态频率的方程,并利用数值方法求解该方程。研究结果表明：索力受降温的影响比受升温的影响更显著,而频率受升温与降温的影响程度取决于初始张拉力;初始张拉力存在临界值,且当初始张拉力大于该临界值时,升/降温对索力及频率影响的差别会逐渐减小,但是,一阶正对称模态频率除外;一般来说,温差的绝对值越大,索力与频率的变化越明显;在一定的初始张拉力范围内,温差绝对值虽小,但一阶正对称模态频率对温度的变化可能更加敏感;高阶正对称模态频率与反对称模态频率对温度变化的敏感性趋于一致。

英文摘要：

In order to study the sensitivity of different tension forces of cables to temperature changes, the thermally stressed configuration of the cable was introduced and a set of equations governing the relationship between the cable tension forces and symmetric/anti-symmetric mode frequencies were derived when the temperature effect was considered, and then these equations were solved using numerical method. The results show that the sensitivity of cable tension force to cooling is slightly higher than that of warming, but as to mode frequencies, their sensitivity to cooling and warming largely depend on the initial tension forces of the suspended cable. And with the increase of the initial tension forces, the differences between cooling and warming become smaller. There are critical values of the initial tension forces, and when the initial tension force is larger than the critical one, the effects of warming/cooling on the cable tension forces and mode frequencies decrease, but except the first order symmetric mode frequency. Supposed that the absolute values of temperature change are much larger, the change of tension forces and frequencies becomes more significant. Nevertheless, to some extent of the cable initial tension force, the absolute value of temperature changes is smaller, but the sensitivity of the first order symmetric mode frequency to temperature changes may be more significant. Moreover, the temperature sensitivity of the higher order symmetric mode frequencies is more identical with that of anti-symmetric mode frequencies.

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