GENEALIZED H-R VARIATION PRINCIPLE AND HOMOGENEOUS VECTOR EQUATION OF THERMO-ELASTIC ORTHOGONAL HYPERBOLIC SHELL

By introducing the basic equations and the modified H-R (Hellinger-Reissner) variation principle of thermo-elastic body, a new generalized H-R variation principle, subjected to the orthogonal hyperbolic coordinate and the temperature gradient, is proposed. Meanwhile, the relevant nonhomogeneous generalized Hamilton canonical equation is deduced. According to the symplectic variable theory, the homogeneous vector equation, which could be solved independently, is obtained by increasing the dimension of the nonhomogeneous generalized Hamilton canonical equation. The homogeneous vector equation simplifies the solution procedure, and improves numerical precision of the thermo-elastic laminated orthogonal hyperbolic shell. Numerical examples are used to verify the method.