Dynamic Response Analysis of Stochastic Frame Structures Under Nonstationary Random Excitation

Wei Gao · Jun Ma · Zhenjie Liang

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Probabilistic and Robust Engineering Design Seismic Performance and Analysis Structural Health Monitoring Techniques

Abstract

A new method (random factor method) for the dynamic response analysis of linear stochastic frame structures under nonstationary random excitation is presented. From the expressions of structural random response of the frequency domain, the computational expressions of the mean value, variance, and variation coefficient of the mean square value of the structural nonstationary random displacement and stress response are developed by means of the random variable's functional moment method and the algebra synthesis method, in which the randomness of the structural physical parameters is considered. The influences of the randomness of the structural physical parameters on the randomness of the mean square value of the structural displacement and stress response are inspected via an engineering example.

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References

1992Response of Systems with Uncertain Parameters to Stochastic Excitation 2000Neumann dynamic stochastic finite element method of vibration for structures with stochastic parameters to random excitation 1988Transient probabilistic systems 2002Probabilistic dynamic analysis of truss structures

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2011Reliability-based optimization of trusses with random parameters under dynamic loads 2006Random seismic response analysis of truss structures with uncertain parameters 2010The analyses of dynamic response and reliability of fuzzy-random truss under stationary stochastic excitation 2018Dynamic Analysis of Uncertain Structures Using an Interval-Wave Approach 2006Dynamic Response Analysis of Fuzzy Stochastic Truss Structures under Fuzzy Stochastic Excitation 2019The dynamic analysis of stochastic thin-walled structures under thermal–structural–acoustic coupling

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