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Published in:
2021 | OriginalPaper | Chapter
Eigenfrequencies Calculation of Rotating Multilayer Beams Using the Asymptotic Numerical Method
Authors : Faiza Boumediene, Hadjila Bournine, Ferhat Bekhoucha
Published in: Structural Health Monitoring and Engineering Structures
Publisher: Springer Singapore
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Abstract
The objective of our work is to develop a fast and efficient code to compute the damped parameters (the complex eigenvalues, the damped eigenfrequencies, and the corresponding loss factors) of viscoelastic twisted multilayer beams rotating at a constant angular speed. The beam is twisted, and its cross section is uniform. The governing equations are developed using the Hamilton principle and discretized using the finite element method. The related nonlinear eigenvalue problem is resolved by combining the homotopy method and the asymptotic numerical method. The obtained complex eigenparameters are coherent with those found in the literature. In addition, our calculation code makes it possible to directly compute the loss factors without using the bandwidth method used in some commercial codes.