DYNAMICS SIMULATION OF A CIRCULAR MEMBRANE WITH AN ECCENTRIC CIRCULAR AREAL CONSTRAINT

We investigate the dynamics of a circular membrane with an eccentric circular areal constraint under arbitrary initial condi-tions. The membrane is assumed to be fixed at its outer boundary and the constraint is assumed to impose zero displacement over a circular area of the membrane. The symmetric and antisym-metric modes of vibration of the membrane are derived and their orthogonality properties are established. Using the orthogonal-ity conditions established in this paper, the complete solution to the constrained vibratory motion of the membrane is determined for arbitrary initial conditions. Two sets of numerical simulation results are presented