Hamiltonian system-based benchmark bending solutions of rectangular thin plates with a corner point‐supported

• A novel Hamiltonian system-based symplectic superposition method is developed.
• Benchmark bending solutions of corner point supported plates are obtained.
• The solution approach is rational and rigorous without any trial solutions.

The benchmark bending solutions of rectangular thin plates with a corner point‐supported are obtained by an up-to-date symplectic superposition method within the framework of the Hamiltonian system. The developed method offers a rational way to obtain the solutions of corner point supported thin plates with sufficient accuracy. Appropriate extension of the method can also yield more benchmark solutions of the similar problems. Comprehensive numerical results are presented for future validation of various approximate/numerical methods.