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Multi-level homotopy perturbation and projection techniques for the reanalysis of quadratic eigenvalue problems: The application of stability analysis

Abstract : Complex eigenvalue analysis is widely used to investigate the stability of a dynamical system with frictional contact. For finite element models, iterative solvers are needed to precisely calculate complex modes and eigenvalues. However, in cases such as reanalysis studies, optimization or uncertainty propagation processes, computational cost can quickly become too time consuming. For multiple samplings, two methods combining homotopy perturbation and projection techniques are proposed for the reanalysis of quadratic eigenvalue problems. To highlight the efficiency of the proposed methods, a complete numerical application including nominal and perturbed solution calculations, coalescence graph and parametric analysis, is performed. The precision of results and computational time are compared with those obtained using commercial software.
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https://hal-uphf.archives-ouvertes.fr/hal-03451031
Contributor : Mylène Delrue Connect in order to contact the contributor
Submitted on : Friday, November 26, 2021 - 11:54:27 AM
Last modification on : Monday, January 10, 2022 - 4:20:03 PM

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Franck Massa, Bertrand Lallemand, Thierry Tison. Multi-level homotopy perturbation and projection techniques for the reanalysis of quadratic eigenvalue problems: The application of stability analysis. Mechanical Systems and Signal Processing, Elsevier, 2015, 52-53, pp.88-104. ⟨10.1016/j.ymssp.2014.07.013⟩. ⟨hal-03451031⟩

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