The analyses of dynamic response and reliability for failure-dependent stochastic micro-resonator with thermoelastic coupling effects

authored by
Bin Yan, Juan Ma, Di Wu, Peter Wriggers
Abstract

A crucial measure for the design of high-performance micro-resonators is to consider the randomness of structural parameters when analyzing the structural system reliability. In this work, the stochastic dynamic response analysis and subsequently, a dynamic reliability assessment of the random micro-resonators are originally presented, where the thermoelastic coupling effects are freshly incorporated in the models proposed. The dynamic characteristics equation of the deterministic micro-resonator is firstly established based on the finite element method. The random dynamic characteristics of the resonator are then solved by implementing the left and right eigenvectors and the block Lanczos algorithm, and the random temperature field and structural random dynamic stress are also tackled. Afterwards, the overall structural reliability is investigated with a comprehensive consideration of the strength failure and frequency resonance failure, in which the Copula function is used for describing the dynamic correlation between two failure modes. Finally, the feasibility and rationality of the method put forward are demonstrated via a practically motivated example.

Organisation(s)
Institute of Continuum Mechanics
External Organisation(s)
Xidian University
University of New South Wales (UNSW)
Xi'an Microelectronics Technology Institute
Type
Article
Journal
Applied mathematical modelling
Volume
77
Pages
1168-1187
No. of pages
20
ISSN
0307-904X
Publication date
01.2020
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Modelling and Simulation, Applied Mathematics
Electronic version(s)
https://doi.org/10.1016/j.apm.2019.09.040 (Access: Closed)
 

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