Statistics analysis for response of linear structure under stationary non-Gaussian excitation based on the higher-order pseudo-excitation method
Fan WenLiang1,2
1. Key Laboratory of New Technology for Construction of Cities in Mountain Area of the Ministry of Education, Chongqing University,
Chongqing 400045, China; 2. School of Civil Engineering, Chongqing University, Chongqing 400045, China
Abstract： The classical random vibration theory has been well developed with wide applications, and the efficiency of analysis for random vibration has been improved by the pseudo-excitation method. However, random analysis for structural vibration under non-Gaussian excitation has still been a great challenge. In this work, statistics for response of linear multiple degrees of freedom (MDOF) structure under stationary non-Gaussian excitation were analyzed, and an efficient and practical method is presented. Firstly, based on the mode superposition method, the analytical solution for higher-order statistical moment of response was derived, and then the solution for higher-order moment spectrum was obtained by the Fourier transformation of moments, which was named the complete higher-order combination method. Secondly, by following the idea of traditional pseudo-excitation method, the higher-order pseudo-excitation method was proposed for calculating the higher-order moment spectrum, while the traditional pseudo-excitation method is just a special case of the proposed method. A comparison discloses that the higher-order pseudo-excitation method is superior to the complete higher-order combination method not only from the perspective of the diversity of computational schemes, but also from the perspective of the computational efficiency.
范文亮. 平稳非高斯激励下线性结构响应统计量的#br#
高阶虚拟激励法#br#[J]. 土木工程学报, 2019, 52(10): 30-35.
Fan WenLiang. Statistics analysis for response of linear structure under stationary non-Gaussian excitation based on the higher-order pseudo-excitation method. 土木工程学报, 2019, 52(10): 30-35.
