四边固支正交各向异性矩形薄板弯曲问题的辛叠加方法
摘要
The orthotropic rectangular thin plate equations were transformed into the Hamiltonian system, and the corresponding infinite dimensional Hamiltonian operator was obtained with the method of separation of variables. Then the eigenvalues and corresponding eigenfunctions of the Hamiltonian operator were calculated, and the eigenfunction system was proved to be of symplectic orthogonality and completeness. Finally, with the symplectic superposition method, the analytical bending solutions of fully clamped orthotropic rectangular thin plates were presented. The comparison between the analytical solutions and the numerical examples shows the correctness of the proposed method.
引用本文（GB/T 7714）
冯璐 额布日力吐, EBURILITU, FENG Lu, 等. 四边固支正交各向异性矩形薄板弯曲问题的辛叠加方法[J]. 应用数学和力学, 2018.
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