An explicit time-domain method in sensitivity analysis of non-stationary random responses

作者：Chen, Tai-Cong; Su, Cheng^*; Hu, Zhi-Qiang; Ma, Hai-Tao

来源：Journal of Vibration Engineering, 2015, 28(4): 503-509.

DOI：10.16385/j.cnki.issn.1004-4523.2015.04.001

• Explicit method
• Nonstationary
• Random vibrations
• Sensitivity
• Time domain

Aiming at the structural vibration problem under non-stationary excitation, time-domain method of high efficiency is explored in the present study to determine the sensitivity of covariance of random response. Firstly, a time-domain formulation is derived for computing the sensitivity of deterministic response. Then, according to a general expression of the sensitivity of covariance, an explicit time-domain formulation is deducted to calculate the sensitivity of covariance of non-stationary random response. This formulation is also suitable for the case of stationary excitation if sensitivity of covariance of the transient response is concerned. By taking a frame and a truss subjected to different types of non-stationary excitations as examples, comparisons of the numerical results obtained with different methods illustrate the effectiveness of the proposed method.

• 出版日期2015-8-1
• 单位华南理工大学