摘要
为研究温度变化对拉索索力与频率的影响,本文引入了拉索在温度变化作用下的平衡状态,通过求解相应的平衡方程及运动方程,得到了在温度变化的影响下索力与频率之间的关系式。数值计算结果表明:随着温度变化量的增加,拉索水平张力及其反对称模态频率呈下降趋势;而对于一阶正对称模态而言,该阶频率与温度变化量之间的关系取决于拉索初始水平张力,具体情况分为两种,其一,当初始水平张力相对较小时,该阶频率会随着温度的上升而增大,其二,当初始水平张力相对较大时,该阶频率会随着温度的上升而下降;对于相同的温度变化条件,索力与频率的变化程度不一致,变化程度主要取决于拉索的初始张力大小。此外,温度的变化虽然明显改变了索力与频率的大小,但并没有改变索力与频率之间的本质关系。
In order to investigate the effects of temperature changes on the tension forces and frequencies of the cables, the thermal stressed configuration is introduced. Then, the relationships between the horizontal tensionforces and frequencies are obtained by solving the equations of motion. Numerical results obtained show that, with the increase of temperature changes, the horizontal tension forces and the anti-symmetric mode frequencies are decreasing. As to the first symmetric mode frequency, the relationship between the frequency and temperature changes is largely dependent on the initial horizontal tension. More specifically, when the initial horizontal tension is small, the frequency is increasing as the increase of temperature changes, in contrast, if the initial horizontal tension is large, with the increase of the temperature changes, the frequency will decrease. Moreover, when the temperature changes are the same, the temperature effects on the horizontal tension and frequencies are different, it is dependent on the initial tension force. Although, the tension forces and frequencies are varied by the temperature effects, but temperature changes does not change the natural relationship between them.
出处
《应用力学学报》
CAS
CSCD
北大核心
2013年第6期904-908,955-956,共5页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金(11032004)
关键词
拉索
温度变化
索力
频率
热应力
suspended cable,temperature changes,tension force,natural frequency,thermal stress
