A numerical method for nonlinear eigenvalue problems application to vibrations of viscoelastic structures

Abstract In this paper, a new numerical method for the exact solution of nonlinear eigenvalue problems is developed. This method associates homotopy and asymptotic numerical techniques and it is applied to determine the natural frequencies and the loss factors of viscoelastically damped sandwich structures. The numerical predictions of the loss factor and the natural frequency are compared to analytical and experimental results.

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