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拉索一般设置有一个或多个中间支承,其振动频率与索力对应关系不甚明确,基于动力刚度法与粒子群算法,对带有多个中间支承的拉索进行参数识别。将拉索视为无限自由度体系,导出精确的单元动力刚度矩阵,通过集成及求解得到总体动力刚度矩阵和频率方程,引入Wittrick-Williams算法求解拉索振动频率;根据拉索振动频率拟合的参数识别方法,将之转化为一优化问题,采用带变异算子的粒子群优化算法进行拉索参数识别。通过有限元仿真分析对带有两个中间弹性支承的两端固结拉索进行了算法的验证,并选取一座实桥的3根两端设置高阻尼橡胶减振器的典型拉索进行了参数识别。研究表明,对具复杂边界条件拉索,基于动力刚度法与粒子群优化算法的参数识别方法能够获得较好的索力测试精度。
The cable is usually provided with one or more intermediate supports. The corresponding relationship between the vibration frequency and the cable force is not clear. Based on the dynamic stiffness method and the particle swarm algorithm, the parameters of the cable with multiple intermediate supports are identified. The cable is regarded as the system of infinite degrees of freedom and the exact unit dynamic stiffness matrix is derived. The total dynamic stiffness matrix and frequency equation are obtained by integration and solution. The Wittrick-Williams algorithm is introduced to solve the cable vibration frequency. According to the vibration frequency of the cable Parameter identification method, which is transformed into an optimization problem, the particle swarm optimization algorithm with mutation operator is used to identify the parameters of the cable. The finite element simulation analysis is carried out to verify the algorithm of the two ends fixed cable with two middle elastic supports. Three typical cables with high damping rubber shock absorbers at both ends of a real bridge are chosen as parameters Recognize. The research shows that the method of parameter identification with complex boundary conditions for cable, dynamic stiffness method and particle swarm optimization algorithm can obtain better cable force testing accuracy.