TY - JOUR

T1 - The dynamic analysis of stochastic thin-walled structures under thermal–structural–acoustic coupling

AU - Ma, Juan

AU - Liu, Bei

AU - Wriggers, Peter

AU - Gao, Wei

AU - Yan, Bin

N1 - Funding Information: The first author gratefully acknowledges the support of Natural Science Foundation of China through the projects (Grant Nos. 11102143 and 11572233). The support of the Alexander von Humboldt Stifung is also gratefully acknowledged. Moreover, the authors would like to greatly appreciate Prof. Xue XD for his helpful suggestions and the contributions to the revision of this manuscript. Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

PY - 2020/3

Y1 - 2020/3

N2 - Random dynamic analysis of the thin-walled structure subjected to coupling loads from three fields is addressed in the frame of the finite element method. Based on the proposed dynamic finite element equation of the deterministic structure under thermal–structural–acoustic coupling, when the randomness of structural physical parameters, temperature load and fatigue test data is fully considered, the dynamic responses of random structure subjected to coupling loads from three fields are dealt with by random factor method. The numerical characteristic values of the random temperature field and that of random dynamic responses are then derived through the moment method of random variables. Subsequently, the dynamic reliability of the stochastic structure under three-field coupling is evaluated using residual strength model, dynamic stress-intensity interference theory and the cumulative damage equal principle. Finally, the results from the methodology proposed are compared with that from Monte-carlo method for a case of numerical example, along with an inspection of the impacts of random variables on dynamic analysis results.

AB - Random dynamic analysis of the thin-walled structure subjected to coupling loads from three fields is addressed in the frame of the finite element method. Based on the proposed dynamic finite element equation of the deterministic structure under thermal–structural–acoustic coupling, when the randomness of structural physical parameters, temperature load and fatigue test data is fully considered, the dynamic responses of random structure subjected to coupling loads from three fields are dealt with by random factor method. The numerical characteristic values of the random temperature field and that of random dynamic responses are then derived through the moment method of random variables. Subsequently, the dynamic reliability of the stochastic structure under three-field coupling is evaluated using residual strength model, dynamic stress-intensity interference theory and the cumulative damage equal principle. Finally, the results from the methodology proposed are compared with that from Monte-carlo method for a case of numerical example, along with an inspection of the impacts of random variables on dynamic analysis results.

KW - Cumulative damage equal principle

KW - Dynamic reliability

KW - Random dynamic response

KW - Thermal–structural–acoustic coupling

UR - http://www.scopus.com/inward/record.url?scp=85074567665&partnerID=8YFLogxK

U2 - 10.1007/s00466-019-01786-0

DO - 10.1007/s00466-019-01786-0

M3 - Article

AN - SCOPUS:85074567665

VL - 65

SP - 609

EP - 634

JO - Computational mechanics

JF - Computational mechanics

SN - 0178-7675

IS - 3

ER -