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

Yan, B; Ma, J; Wu, D; Wriggers, P

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

Yan, B Ma, J Wu, D

Wriggers, P

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Publisher:: Elsevier BV
Publication Type:: Journal Article
Citation:: Applied Mathematical Modelling, 2020, 77, pp. 1168-1187
Issue Date:: 2020-01-01

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Field	Value	Language
dc.contributor.author	Yan, B
dc.contributor.author	Ma, J
dc.contributor.author	Wu, D https://orcid.org/0000-0002-7284-5024
dc.contributor.author	Wriggers, P
dc.date.accessioned	2021-03-05T05:11:35Z
dc.date.available	2021-03-05T05:11:35Z
dc.date.issued	2020-01-01
dc.identifier.citation	Applied Mathematical Modelling, 2020, 77, pp. 1168-1187
dc.identifier.issn	0307-904X
dc.identifier.issn	1872-8480
dc.identifier.uri	http://hdl.handle.net/10453/146818
dc.description.abstract	© 2019 The Authors 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.
dc.language	en
dc.publisher	Elsevier BV
dc.relation.ispartof	Applied Mathematical Modelling
dc.relation.isbasedon	10.1016/j.apm.2019.09.040
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, 0801 Artificial Intelligence and Image Processing
dc.subject.classification	Mechanical Engineering & Transports
dc.title	The analyses of dynamic response and reliability for failure-dependent stochastic micro-resonator with thermoelastic coupling effects
dc.type	Journal Article
utslib.citation.volume	77
utslib.for	0102 Applied Mathematics
utslib.for	0103 Numerical and Computational Mathematics
utslib.for	0801 Artificial Intelligence and Image Processing
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Civil and Environmental Engineering
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2021-03-05T05:11:32Z
pubs.publication-status	Published
pubs.volume	77

Abstract:

© 2019 The Authors 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.

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http://hdl.handle.net/10453/146818