ON A DIRECT METHOD FOR THE PROBLEM OF ELASTIC CURVED BEAMS

In this paper, the Hamiltonian structure is introduced into the plane elastic problem in polar coordinate formulation. Based on the properties of adjoint symplectic orthonormalization relationship of symplectic mathematics, the direct solution is first to find the eigenvalues and their respective eigenfunction vectors of the Hamiltonian operator matrix.Thus, the traditional considerations of semi-inverse method in elasticity is updated with the new eirect method.