scholarly journals Equivalent linearization method using Gaussian mixture (GM-ELM) for nonlinear random vibration analysis

2017 ◽  
Vol 64 ◽  
pp. 9-19 ◽  
Author(s):  
Ziqi Wang ◽  
Junho Song
Keyword(s):  
Vibration Analysis ◽  
Random Vibration ◽  
Gaussian Mixture ◽  
Linearization Method ◽  
Equivalent Linearization ◽  
Nonlinear Random Vibration ◽  
Equivalent Linearization Method ◽  
Random Vibration Analysis

A STOCHASTIC EQUIVALENT LINEARIZATION FOR ANALYSIS OF MULTIPLE-DEGREE-OF-FREEDOM FLEXIBLE STRUCTURES

2009 ◽  
Vol 03 (04) ◽  
pp. 291-303
Author(s):  
YONG HE ◽  
WEI-LIANG JIN
Keyword(s):  
Nonlinear System ◽  
Vibration Analysis ◽  
Random Vibration ◽  
Flexible Structures ◽  
Degree Of Freedom ◽  
Equivalent Linearization ◽  
Geometrically Nonlinear ◽  
Vibration Method ◽  
Nonlinear Random Vibration ◽  
Random Vibration Analysis

Stochastic equivalent linearization (SEL) method has gained wide popularity because of its versatility in application to multiple-degree-of-freedom (MDOF) nonlinear systems. It is restricted in the random vibration analysis of flexible structures because of the implicit nonlinear system. This paper presents a new method for the equivalent nonlinear system of flexible structures. Using this method, the implicit geometrically nonlinear system can be represented as an explicit equivalent nonlinear system. According to the modal analysis method, the geometrically nonlinear force is replaced by a high-order moment of modal coordinate. The MDOF physical system is translated into a modal system, which could be solved easily. Based on the equivalent nonlinear system, the nonlinear random vibration method is presented by using SEL technology. By using the pseudo-excitation method, the efficiency of the nonlinear random vibration method is increased obviously. The rapid calculation makes it possible to analyze the nonlinear random vibration of MDOF flexible structure. The validation shows that the method has reasonable precision and high efficiency and it could be used in the random vibration analysis of practical flexible structures.

Sign in / Sign up

Export Citation Format

Share Document