Interval numerical analysis for dynamic response of a thermoelastic coupled beam structure

Dynamic response of a thermoelastic coupled beam structure with interval parameters was studied under both thermal load and force load. Considering interaction of material deformation and heat conduction, the dynamic model of the beam structure was set up using the finite element method. The calculation method was proposed for solving the transient temperature field and dynamical response with iterative technqique. For structural response uncertainty, taking uncertain parameters as a constraint variables, the interval bounds of structural response function were solved through solving the corresponding optimization problems, and the genetic algorithm was used to solve the global optimization model. Compared with the probabilistic analysis method, the numerical example indicated the feasibility and validity of the proposed method. It was shown that the natural frequencies of the beam increase and the amplitudes of its vibration gradually decrease due to thermoelastic coupled effect. The proposed method only needed to know the limits of the range of the uncertain parameters, without needing other statistical information, and provided a way to solve such complex problems of thermoelastic coupled beam structures with uncertainty. © 2016, Chinese Vibration Engineering Society. All right reserved.