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对于刚-热弹耦合动力学这类学科交叉问题,尚无现成的控制方程可以利用.由于变分原理是从总体上把握事物,便于应用功能转化原理和能量守恒定律来研究问题.应用刚-热弹耦合动力学的变分原理,不仅可以建立刚-热弹耦合动力学的控制方程,而且可以为刚-热弹耦合动力学的有限元建模提供方便.本文根据功能转化原理和能量守恒定律,建立刚-热弹耦合动力学变分原理,给出刚-热弹耦合动力学变分原理的驻值条件,得到刚-热弹耦合动力学的控制方程,并且,将以上成果转化为非惯性坐标系中的静力学问题.作为该理论的应用,研究了结构的刚-热弹耦合稳定性问题.在非惯性坐标系中,给出两向应力状态刚-热弹耦合临界应力.最后,讨论了有关问题.
For the intersection problem of the rigid-thermoelastic coupling kinematics, there are no existing control equations available.As the principle of variational principle is to grasp things as a whole and facilitate the application of function transformation principle and energy conservation law to study the problem.Application of just- The principle of the variational principle of thermoelastic coupling dynamics can not only establish the governing equations of the rigid-thermo-elastic coupling dynamics, but also provide convenience for the finite element modeling of the rigid-thermo-elastic coupled dynamics.In this paper, based on the principle of functional transformation and conservation of energy Law of elasticity and the principle of variation of the rigid-thermo-elastic coupling dynamics are established and the governing equations for the dynamics of the rigid-thermo-elastic coupling dynamics are given. The above results are transformed into In this paper, we study the problem of the rigid-thermo-elastic coupling stability in non-inertial coordinate system. The critical stress of rigid-thermo-elastic coupling in two-direction stress state is given in non-inertial coordinate system. Finally, the related issues were discussed.