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。
Intermediate supports are generally configured at the two ends of the cable, which make the relationship between cable force and vibration frequency not so clear. The dynamic stiffness method and particle swarm optimization (PSO) are employed to identify the structural parameters of the cables with multiple intermediate supports. Considering the cable as an infinite degrees of freedom system, the exact element dynamic stiffness matrix is derived and integrated to attain the global dynamic stiffness matrix and frequency equation, and the Wittrick - Williams algorithm is introduced to solve the vibration frequency of the cable. According to the cable vibration frequency fitting-based parameter identification method, the problem is transformed into an optimization problem, and the cable parameter is identified using particle swarm optimization (PSO) with mutation operator and verified by a finite-element simulation analysis on a fixed- fixed cable with 2 intermediate elastic supports. The structural parameters of 3 typical cables with high damping rubber absorbers installed at two ends for a cable-stayed bridge are identified. The result shows that for the cable complex boundary condition, the parameter identification method based on dynamic stiffness method and PSO can obtain better test precision.