Conventional stochastic response analysis methods of vehicle-bridge (VB) systems involve a brute-force calculation based on a large number of simulations, which imposes huge computational burdens because the dynamic analysis of a time-dependent VB system requires repeated assembles of system matrices. This paper proposes a novel stochastic analysis method of transient responses for time-dependent VB systems based on periodic generalized harmonic wavelets (GHW). We establish the equations of motion of the VB system and reveal the orthogonal characteristic relationships between the time-dependent system matrices and the wavelet functions. Then, two sets of linear algebraic equations of wavelet coefficients are established for describing the time-dependent VB system, and the time-varying power spectral density functions of system responses are obtained in a semi-analytical form. The stochastic response analysis of the time-dependent VB system is therefore converted into solving a set of linear algebraic equations, which significantly simplifies the stochastic response analysis. The accuracy and efficiency of the proposed method are validated via comparison against the Monte Carlo simulations of nonstationary stochastic analyses of a highway bridge and a railway bridge, respectively. The proposed method provides a high-efficient way to estimate the time-varying power spectral density functions of stochastic responses of time-dependent VB systems.

传统的车桥（VB）系统随机响应分析方法涉及基于大量模拟的蛮力计算，这带来了巨大的计算负担，因为瞬态VB系统的动态分析需要重复组装系统矩阵。本文提出了一种基于周期广义谐波小波（GHW）的瞬态响应瞬态响应随机分析方法。我们建立了VB系统的运动方程，揭示了瞬态系统矩阵与小波函数之间的正交特征关系。然后，建立了两组小波系数的线性代数方程来描述瞬态VB系统，以半解析形式得到系统响应的时变功率谱密度函数。因此，将瞬态VB系统的随机响应分析转化为求解一组线性代数方程，大大简化了随机响应分析。通过分别与公路桥梁和铁路桥梁的非平稳随机分析的蒙特卡罗模拟进行比较，验证了所提出方法的准确性和效率。所提出的方法提供了一种高效的方法来估计瞬态 VB 系统随机响应的时变功率谱密度函数。这大大简化了随机响应分析。通过分别与公路桥梁和铁路桥梁的非平稳随机分析的蒙特卡罗模拟进行比较，验证了所提出方法的准确性和效率。所提出的方法提供了一种高效的方法来估计瞬态 VB 系统随机响应的时变功率谱密度函数。这大大简化了随机响应分析。通过分别与公路桥梁和铁路桥梁的非平稳随机分析的蒙特卡罗模拟进行比较，验证了所提出方法的准确性和效率。所提出的方法提供了一种高效的方法来估计瞬态 VB 系统随机响应的时变功率谱密度函数。