Abstract

Based on many of researches about bend of beam under uniform load in the Hamiltonian system, but few on bend of beam under the force couple with load and the thermal, according to the validity of Hamiltonian method in symplectic space, in this paper, the method is used to solve bending of plane beam under the force couple with load and the thermal, and give out the distribution of displacement under this condition. Numerical simulations show the effect of temperature has great influence on the distribution of displacement of the beam. The results provide a numerical model and reliable reference data for the follow-up study of its analytical solution.

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