Details
| Original language | English |
|---|---|
| Pages (from-to) | 1168-1187 |
| Number of pages | 20 |
| Journal | Applied mathematical modelling |
| Volume | 77 |
| Issue number | 2 |
| Early online date | 27 Sept 2019 |
| Publication status | Published - Jan 2020 |
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.
Keywords
- Dynamic correlation, Dynamic reliability assessment, Random micro-resonators, Stochastic dynamic response analysis, Thermoelastic coupling effects
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Mathematics(all)
- Applied Mathematics
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In: Applied mathematical modelling, Vol. 77, No. 2, 01.2020, p. 1168-1187.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The analyses of dynamic response and reliability for failure-dependent stochastic micro-resonator with thermoelastic coupling effects
AU - Yan, Bin
AU - Ma, Juan
AU - Wu, Di
AU - Wriggers, Peter
N1 - Funding information: The authors gratefully acknowledge the support of National Natural Science Foundation of China (Grant No. 11572233 ) and Pre-research Foundation (Grant No. 61400020106 ) to the project. Moreover, the authors would like to greatly appreciate Prof. Xue XD for his helpful suggestions and the contributions to the revision of this manuscript.
PY - 2020/1
Y1 - 2020/1
N2 - 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.
AB - 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.
KW - Dynamic correlation
KW - Dynamic reliability assessment
KW - Random micro-resonators
KW - Stochastic dynamic response analysis
KW - Thermoelastic coupling effects
UR - http://www.scopus.com/inward/record.url?scp=85074402411&partnerID=8YFLogxK
U2 - 10.1016/j.apm.2019.09.040
DO - 10.1016/j.apm.2019.09.040
M3 - Article
AN - SCOPUS:85074402411
VL - 77
SP - 1168
EP - 1187
JO - Applied mathematical modelling
JF - Applied mathematical modelling
SN - 0307-904X
IS - 2
ER -