This paper presents a general technique to determine the dynamic response of a plate excited by an orbiting mass. The technique relies on a finite element discretization in which the mesh is consistent with the trajectory of the orbiting mass, combined with a Lagrange multiplier formulation. This allows one to represent the compatibility condition at the mass-plate interface using a set of auxiliary functions. This technique can be applied to plates of any shape, excited by masses describing any type of trajectory. An example is presented to illustrate the method.
Cifuentes, Arturo, and S. Lalapet. "A General Method to Determine the Dynamic Response of a Plate to a Moving Mass." Computers and Structures 42, no. 1 (1992): 31-36.
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