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中南大学学报(自然科学版)

Journal of Central South University

第45卷    第5期    总第237期    2014年5月

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文章编号:1672-7207(2014)05-1680-06
不同初拉力拉索对温度变化的敏感性分析
赵珧冰1,孙测世1,彭剑2,王连华1

(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
)

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。

 

关键词: 拉索;温度变化;索力;频率;敏感性

Sensitivity analysis of different initial tension forces of suspended cable to temperature changes
ZHAO Yaobing1, SUN Ceshi1, PENG Jian2, WANG Lianhua1

1. College of Civil Engineering, Hunan University, Changsha 410082, China;
2. College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China

Abstract: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.

 

Key words: cable; temperature changes; cable tension force; frequencies; sensitivity

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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