Abstract
A boundary element method formulation is developed for forced steady-state bending vibration of thin elastic plates with viscous damping. An approximate fundamental solution for the biharmonic operator is used for the derivation of the integral representation. The integral equations for the deflection and the rotation are regularized up to an integrable order and then discretized by means of the boundary-domain element method. In addition to discretization of the boundary, the inner domain is discretized into domain elements. The final set of discretized equations consists of both the unknown nodal values on the boundary and the nodal displacements in the inner domain. A viscous damping effect is taken into consideration in the formulation. Numerical analysis is carried out for several examples, whereby computational aspects of this method are investigated in detail and its usefulness is demonstrated.
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