HAMILTONIAN SYSTEM AND THE SAINT VENANT PROBLEM IN ELASTICITY

The traditional semi-inverse solution method of the Saint tenant problem.whichis described in foe Euclidian space under the Lagrange syslemformulation,is updatedto be solved in the symplectic space under foe conservative Hamiltonian system.It isproved in the present paper that all the Saint Venant solutions can be obtained directlyvia the zero eigenvalue solutions and all their Jordan normalform of the correspondingHamiltonian operator matrix.