On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework

This paper presents a first attempt to explore the symplectic superposition method for analytic buckling solutions of non-Lévy-type moderately thick rectangular plates, which were hard to tackle by classical semi-inverse methods. In contrast with the conventional Lagrangian-system-based expression that is solved in the Euclidean space, this study describes the issue in the Hamiltonian system for treatment in the symplectic space. The follow-up...