Abstract
This paper is concerned with an inverse problem of the active control of nonsteady dynamic vibration in elastic beams. A simulation technique based on the integral equation method and the filter theory is successfully applied to such an inverse problem. The Laplace-transform integral equation method is used for the solution of dynamic bending vibration in elastic beams. Through a Taylor series expansion, the nonlinear system is reduced to a linear system for modification of the unknown parameters, and it is solved iteratively so that an appropriate norm is minimized. A few examples including continuous beams are computed and the results obtained are discussed, whereby the usefulness of the proposed method is demonstrated.
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