DYNAMIC RESPONSE ANALYSIS OF STOCHASTIC BEAM STRUCTURES UNDER THERMOELASTIC COUPLING

To research the beam with random parameters, its dynamic response has been analyzed under both a thermal load and a force load when considering the effect of thermoelastic coupling. The dynamic model considering thermoelastic coupling is set up using the finite element method, then a coupling calculate method is proposed which make use of the finite difference method in the time domain and alternative iteration in each time step. The computational expressions for the numerical characteristics of the temperature field and dynamic response are derived by using the random factor method. Temperature field is worked out by applying the time integral method, while the dynamic response can be found through Newmark-βintegral method. Base on the numerical characteristics expressions of a temperature field and the dynamic response in each time step, the expressions in a whole time domain are obtained by using coupling algorithm. Finally, a cantilever beam is taken as an example and the influence of the dynamic response due to thermoelastic coupling and randomness of the parameters is presented.