Structural systems often exhibit time-varying dynamic characteristics during their service life due to serve hazards and environmental erosion, so the identification of time-varying structural systems is an important research topic. Among the previous methodologies, wavelet multiresolution analysis for time-varying structural systems has gained increasing attention in the past decades. However, most of the existing wavelet-based identification approaches request the full measurements of structural responses including acceleration, velocity, and displacement responses at all dynamic degrees of freedom. In this article, an improved algorithm is proposed for the identification of time-varying structural parameters using only partial measurements of structural acceleration responses. The proposed algorithm is based on the synthesis of wavelet multiresolution decomposition and the Kalman filter approach. The time-varying structural stiffness and damping parameters are expanded at multi-scale profile by wavelet multiresolution decomposition, so the time-varying parametric identification problem is converted into a time-invariant one. Structural full responses are estimated by Kalman filter using partial observations of structural acceleration responses. The scale coefficients by the wavelet expansion are estimated via the solution of a nonlinear optimization problem of minimizing the errors between estimated and observed accelerations. Finally, the original time-varying parameters can be reconstructed. To demonstrate the efficiency of the proposed algorithm, the identification of several numerical examples with various time-varying scenarios is studied.

结构系统由于服役危害和环境侵蚀，在使用寿命内经常表现出时变动态特性，因此，时变结构系统的识别是一个重要的研究课题。在过去的方法中，时变结构系统的小波多分辨率分析在过去几十年中受到越来越多的关注。但是，大多数现有的基于小波的识别方法都要求对所有动态自由度上的结构响应（包括加速度，速度和位移响应）进行完整测量。在本文中，提出了一种仅使用结构加速度响应的部分测量值来识别随时间变化的结构参数的改进算法。该算法基于小波多分辨率分解和卡尔曼滤波方法的综合。通过小波多分辨率分解，将时变结构刚度和阻尼参数扩展到多尺度剖面，从而将时变参数识别问题转化为时不变的。结构全响应通过卡尔曼滤波器使用对结构加速度响应的部分观察来估算。通过最小化估计加速度和观测加速度之间的误差的非线性优化问题，可以估算出由小波展开产生的比例系数。最后，可以重建原始的时变参数。为了证明所提出算法的效率，