Paper Title:
First Passage of Uncertain Nonlinear MDOF Systems with Uncorrelated Failure Modes
  Abstract

The failure analysis of uncertain multi-degree-of-freedom (MDOF) nonlinear vibration systems with uncorrelated failure modes subjected to random excitation is examined. An earlier version of the statistical fourth-moment method is extended to vector-valued and matrix-valued functions and is developed to determine the first four moments of the system response and state function. Random variables and system derivatives are conveniently arranged into 2D matrices by means of Kronecker products. The distribution function of the system state function is approximately determined by the standard normal distribution functions using Edgeworth series technique and its failure probability is obtained. The method is based on matrix calculus. Kronecker algebra is used in the mathematical development.

  Info
Periodical
Key Engineering Materials (Volumes 353-358)
Edited by
Yu Zhou, Shan-Tung Tu and Xishan Xie
Pages
2545-2548
DOI
10.4028/www.scientific.net/KEM.353-358.2545
Citation
Y. M. Zhang, H. Li, Q. L. Liu, B. C. Wen, "First Passage of Uncertain Nonlinear MDOF Systems with Uncorrelated Failure Modes", Key Engineering Materials, Vols. 353-358, pp. 2545-2548, 2007
Online since
September 2007
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Xin Chi Yan, Yuan Hua
Abstract:Because there were many random factors, the failure analysis and reliability analysis of stochastic structural system was very difficult. In...
223
Authors: Yan Gang Zhao, Yue Feng Geng, Kazuhiro Yoshihara
Abstract:In ultimate asseismic design of ductile frame structures, plastic deformation and plastic hinge are generally permitted, and some preferred...
1393
Authors: Bao Chu Yu, Sheng Yong Li
Chapter 4: Reliability and Durability of Structures
Abstract:A self-anchored suspension bridge is analyzed for its structural system reliability, and the bridge reliability is relatively high under...
1868
Authors: Zhen Sheng Wang, Jian Sun, Guang Yao Lian
Chapter 3: Techniques for Measurement, Detection and Monitoring
Abstract:Due to the uncertainty in the testing process of electric equipment, Bayesian network is introduced to modify the hybrid diagnostic model,...
394