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

Ma, Juan; Liu, Bei; Wriggers, Peter; Gao, Wei; Yan, Bin

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.

THIN-walled structures; STOCHASTIC analysis; RANDOM fields; FINITE element method; RANDOM variables; MATERIAL fatigue; MOMENTS method (Statistics)

Computational Mechanics, 2020, Vol 65, Issue 3, p609

0178-7675

Academic Journal

10.1007/s00466-019-01786-0