索力振动测量的传递矩阵法

振动法测量拉索张力需要准确描述索力与自振频率的关系，在建立拉索振动的离散模型基础上应用传递矩阵法计算拉索固有频率，通过求解特征方程建立了索力与振动频率的关系；然后将计算得到的模态频率与测试得到的模态频率比较，通过修正拉索张力计算值使计算频率与实测频率误差最小，最后修正的拉索张力则为拉索实际张力。通过对实际工程的测试结果分析表明，该方法具有准确、实用和易编程的特点，完全能满足工程应用要求。

Transfer matrix method for vibration measurement of cable tension

The relation between cable tension and natural vibration frequencies needs to be defined accurately for measurement of cable tension by vibration method. Transfer matrix method of multibody system was used to compute natural vibration frequencies of cable on the base of cable-vibration discrete model. The relation between cable tension and natural vibration frequencies was described by solving eigenvalue problem. The computing value of cable tension was amended until the difference between the theoretical calculation results and the measurement results reached the minimum. The final computing value of cable tension is regarded as the actual cable tension. The field measurement results are analyzed and it is indicated that the proposed method has high computational efficiency because of low order of system matrix and can effectively satisfy the requirements for measurement precision of cable tension.