路面不平顺作用下具有不确定参数车辆系统随机振动分析

Random vibration analysis of vehicle systems with uncertain parameters under the action of road roughness

  • 摘要: 针对具有不确定参数的车辆受到路面随机激励作用下的振动问题,在频域内建立了随机振动功率谱不确定性量化分析的多项式维数分解-虚拟激励法(PDD-PEM)。通过虚拟激励法将平稳随机振动分析转化为简谐载荷分析,将双随机问题转化为单随机问题;同时应用多项式维数分解方法构建了随机代理模型,给出功率谱响应以多项式基底表达的显式函数,有效实现了结构响应在不确定性参数空间的概率评估。数值算例中,采用本文建立的方法进行路面不平顺作用下具有不确定参数车辆系统随机振动分析,同蒙特卡罗方法比较验证了建立方法的正确性和有效性,进一步讨论了不确定参数对结构响应统计特性的影响,这些工作为考虑具有不确定性车辆系统参数优化和控制问题研究奠定一定的基础。

     

    Abstract: A polynomial dimensional decomposition pseudo-excitation method (PDD-PEM) was established in the frequency domain to quantify the uncertainty of random vibration power spectrum density for vehicles with uncertain parameters under random road excitation. Transforming stationary random vibration analysis into harmonic load analysis through pseudo-excitation method, and transforming double random problems into single random problems; At the same time, the polynomial dimensional decomposition method is used to construct a random Surrogate model, and the explicit function of the power spectrum density response expressed by the polynomial basis is given, which effectively realizes the probabilistic evaluation of the structural response in the uncertain parameter space. In numerical examples, the method established in this paper was used to analyze the random vibration of vehicle systems with uncertain parameters under road roughness. Compared with the Monte Carlo method, the correctness and effectiveness of the established method were verified, and the influence of uncertain parameters on the structural response statistical characteristics was further discussed. These works laid a certain foundation for considering the optimization and control problems of vehicle system parameters with uncertainty.

     

/

返回文章
返回