摘要
针对基于弦振动理论建立的铰支边界条件下拉索索力计算公式在实际工程应用中存在的问题,提出了基于频率分解的索力计算方法.通过分析拉索索力、抗弯刚度、固有频率之间的关系,将拉索实际振动频率的平方分解为抗弯刚度为零时拉索振动频率的平方,与拉索索力为零时拉索振动频率的平方之和,进而建立起拉索实际振动频率与频阶平方之间的二次多项式;采用最小二乘法拟合出多项式系数从而同时求出拉索的索力与抗弯刚度.通过模型计算索力与加载索力的分析比较,验证了提出的频率分解法求索力的实用可靠性.
According to the problem of the existing cable tension formula on simply supported boundary condition applied in the real engineering,cable tension calculating method based on frequency decomposition was proposed.By analyzing the relationship among tension,flexural rigidity and natural frequency,cable＇s actual frequency square was decomposed into the sum of the frequency square when the flexural rigidity is zero and the frequency square when the tension is zero,then the quadratic equation between cable＇s actual frequency and frequency order was built.Cable tension and flexural rigidity was solved based on polynomial coefficients fitted by least squares method.An experimental cable model was designed,which verified that the frequency decomposition method presented in this paper is practical and dependable.
出处
《上海理工大学学报》
CAS
北大核心
2010年第6期519-524,共6页
Journal of University of Shanghai For Science and Technology
基金
上海市科委重点科技攻关资助项目(072105115)
关键词
索力计算
频率分解
抗弯刚度
边界条件
cable tension formula
frequency decomposition
flexural rigidity
boundary condition
