Abstract:The multisymplectic formulations of the membrane forced vibration equation with periodic boundary conditions in Hamilton space were considered. Using the RungeKutta multisymplectic method, a semiimplicit ninemultiply threepoint scheme with a symplectic conservation law was constructed to discrete the partial differential equation (PDE), which was derived from the membrane forced vibration equation. The results of the numerical experiments show that the multisymplectic scheme can not only improve the numerical accuracy effectively but also maintain the local properties of the vibration system. From the simulation results, we can conclude that the multisymplectic method has excellent longtime numerical behavior.