Modeling General Hysteresis Behavior and Random Vibration Application

A simple constructive technique for the development of rate-type hysteresis models for general nonlinear system is presented. The technique is used to develop hysteresis models to incorporate time history-dependent postyield restorting forces, and general pinching behavior in smoothly varying deteriorating models. Applications of these models to random vibration analysis modeling via simulation and equivalent linearization techniques under Gaussian noise excitation is presented.

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

Journal of Earthquake and Tsunami ◽

10.1142/s1793431109000640 ◽

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.

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

Structural Safety ◽

10.1016/j.strusafe.2016.08.005 ◽

2017 ◽

Vol 64 ◽

pp. 9-19 ◽

Cited By ~ 17

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

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Hermetically Metal Sealing Random Vibration Damage Mechanism and Fatigue Life Prediction

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.423-426.1501 ◽

2013 ◽

Vol 423-426 ◽

pp. 1501-1505 ◽

Cited By ~ 1

Author(s):

Teng Han ◽

Xiao Qi He ◽

Yun Fei En

Keyword(s):

Fatigue Life ◽

Vibration Analysis ◽

Random Vibration ◽

Time History ◽

Simulation Method ◽

Damage Mechanism ◽

Von Mises Stress ◽

History Data ◽

Von Mises ◽

Random Vibration Analysis

Finite element simulation method of random vibration analysis was used for hermetically metal sealing. According to the results of the random vibration analysis and the theory of fatigue fracture mechanics, the hermetically metal sealing on the PCB plate cracking damage mechanism was analyzed. The danger point of the Von Mises stress was obtained, and the Von Mises stress - time history data was accessed through inverse Fourier transformation. And rain flow count method was used to calculate Von Mises stress-time history data of cycle count. The linear cumulative damage theory and the material S-N curve were used to calculate the fatigue life of Hermetically metal sealing.

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Comparison between equivalent linearization and Gaussian closure for random vibration analysis of several nonlinear systems

International Journal of Engineering Science ◽

10.1016/0020-7225(90)90039-l ◽

1990 ◽

Vol 28 (9) ◽

pp. 897-905 ◽

Cited By ~ 11

Author(s):

Mohammad Noori ◽

H. Davoodi

Keyword(s):

Nonlinear Systems ◽

Vibration Analysis ◽

Random Vibration ◽

Equivalent Linearization ◽

Gaussian Closure ◽

Random Vibration Analysis

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Efficient non-stationary random vibration analysis of vehicle-bridge system based on an improved explicit time-domain method

Engineering Structures ◽

10.1016/j.engstruct.2020.111786 ◽

2021 ◽

Vol 231 ◽

pp. 111786

Author(s):

Helu Yu ◽

Bin Wang ◽

Cuipeng Xia ◽

Zongyu Gao ◽

Yongle Li

Keyword(s):

Time Domain ◽

Vibration Analysis ◽

Random Vibration ◽

Time Domain Method ◽

Domain Method ◽

Random Vibration Analysis ◽

Bridge System

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Stationary and Transient Response of Cylindrical Shells Under Random Excitation

Journal of Pressure Vessel Technology ◽

10.1115/1.3265588 ◽

1988 ◽

Vol 110 (2) ◽

pp. 205-209

Author(s):

A. V. Singh

Keyword(s):

Transient Response ◽

Random Vibration ◽

Time History ◽

Wide Band ◽

Random Excitation ◽

Mode Shapes ◽

The Finite Element Method ◽

History Of ◽

The Mean ◽

Random Vibration Analysis

This paper presents the random vibration analysis of a simply supported cylindrical shell under a ring load which is uniform around the circumference. The time history of the excitation is assumed to be a stationary wide-band random process. The finite element method and the condition of symmetry along the length of the cylinder are used to calculate the natural frequencies and associated mode shapes. Maximum values of the mean square displacements and velocities occur at the point of application of the load. It is seen that the transient response of the shell under wide band stationary excitation is nonstationary in the initial stages and approaches the stationary solution for large value of time.

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