移动的平稳随机荷载对简支梁的作用,相当于固定的调制函数已知的非平稳随机荷载对简支梁结构的作用。本文以此为基础,研究了移动平稳随机荷载的识别问题。首先基于虚拟激励法的思想,利用特征值分解及奇异值分解技术,由虚拟位移响应反演虚拟广义坐标,有效地避免了矩阵求逆,得到高精度的广义坐标谱;同时利用Wiener—Khintchine关系及Duhamel积分,由广义坐标谱值反演得到平稳随机激励谱密度。仿真算例表明,只要适当地选取参振振型及测点位置,本文方法可以有效地识别桥梁结构的移动平稳随机荷载。
The stationary random load moving on bridge structure is identified based on the fact that the effect of this load is the same as that of a fixed non-stationary random load with known modulated function. Firstly, the idea of pseudo excitation method was introduced into the identification of pseudo generalized coordinate from pseudo displacement response with the technique of eigenvalue and singular value decomposition, which avoided the matrix inversion and accordingly improved the identification precision. Then the stationary random load spectra was decided from the pseudo generalized coordinate spectra by using the Wiener-Khintchine relation and Duhamel integration. Numerical results show that, with a good choice of the number of mode and the response measuring position, the method presented here can identify the stationary random load moving on bridge structure effectively.