基于压缩蒙特卡罗的改进粒子群优化粒子滤波算法及其在结构动力响应预测中的应用

IMPROVED PARTICLE SWARM OPTIMIZATION PARTICLE FILTER ALGORITHM BASED ON THE COMPRESSED MONTE CARLO ALGORITHM AND ITS APPLICATION IN THE STRUCTURAL DYNAMIC RESPONSE PREDICTION

  • 摘要: 提出了改进的粒子滤波(PF)算法观测噪声,以此解决PF算法中观测噪声取值困难的问题。介绍了压缩蒙特卡罗(CMC)算法。将CMC算法和粒子群优化粒子滤波(PSO-PF)算法结合,得到了基于压缩蒙特卡罗的改进粒子群优化粒子滤波(CMC-PSO-PF)算法,达到提高算法计算效率的目的。开展了CMC-PSO-PF算法在装配式地铁高架车站结构动力响应预测中的应用。研究结果表明:与观测噪声方差R取定值相比,改进的观测噪声具有明确的取值方法,并具有较好的精度和更强的适用性;PSO-PF算法的计算精度和计算效率均优于PF算法;通过设置合理的参数,CMC-PSO-PF算法可以达到PSO-PF算法的计算精度,并降低19.9%~43.2%的计算耗时;随着框架层数的增加或者测量噪声的增大,PSO-PF算法和CMC-PSO-PF算法的计算精度逐渐降低;CMC-PSO-PF算法在装配式地铁高架车站结构刚度参数识别中具有良好的计算精度,基于CMC-PSO-PF算法参数识别结果建立的装配式地铁高架车站结构剪切动力学模型可以较好地实现结构动力响应预测。

     

    Abstract: The modified observation noise in Particle Filter (PF) algorithm was proposed to solve the problem of difficulty in obtaining observation noise values in PF algorithm. The Compressed Monte Carlo (CMC) algorithm was introduced. The CMC algorithm and the Particle Swarm Optimization Particle Filter (PSO-PF) algorithm were combined to obtain the improved Particle Swarm Optimization Particle Filter (CMC-PSO-PF) algorithm based on the CMC algorithm, so as to improve the computational efficiency of the PSO-PF algorithm. The application of the CMC-PSO-PF algorithm in the dynamic response prediction of the prefabricated subway elevated station structures was carried out. The research results indicate that compared with the observation noise variance R set at a constant value, the modified observation noise has a clear value equation, good accuracy, and stronger applicability; that the computational accuracy and efficiency of the PSO-PF algorithm are better than those of the PF algorithm; that by setting reasonable parameters, the CMC-PSO-PF algorithm can achieve the computational accuracy of the PSO-PF algorithm and reduce the calculation time by 19.9% to 43.2%; that as the number of framework layers increases or the measurement noise increases, the computational accuracy of the PSO-PF algorithm and the CMC-PSO-PF algorithm gradually decreases; that the CMC-PSO-PF algorithm has good computational accuracy in the structural stiffness parameter identification of the prefabricated subway elevated station structures; and that the shear dynamics model of the prefabricated subway elevated station structure established upon the parameter identification results of the CMC-PSO-PF algorithm can predict the structural dynamic response relatively well.

     

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