Abstract
According to the variational principle, the basic governing equations of three-dimensional elastic problems in symplectic system are established. According to the characteristics of Hamiltonian operator matrix, the boundary condition problem is transformed into eigenvalue and eigensolution. It is shown that the zero eigenvalue solutions include the solutions of tensile and bending problems in material mechanics, while the non-zero eigenvalue solution can describe the solutions of local deformation such as stress concentration caused by boundary conditions.
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