Implicit Floquet analysis for parametric instabilities in a variable angle tow composite panel

Samukham, Surya and Vyasarayani, C P and Raju, Gangadharan (2020) Implicit Floquet analysis for parametric instabilities in a variable angle tow composite panel. Composite Structures, 233. pp. 1-14. ISSN 0263-8223

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Abstract

In the literature dealing with the stability of time-periodic structures, Bolotin’s method is widely used for generating the approximate stability charts. Further, increasing the order of approximation in Bolotin’s approach requires solving several eigenvalue problems and may not lead to the rapid convergence of stability charts. Floquet theory can be used to calculate accurate stability charts for time-periodic systems. In Floquet theory, a Floquet transition matrix (FTM) is computed, the dominant eigenvalue of the FTM determine the stability of the time-periodic system. For a large degree of freedom systems like finite element models of VAT panels, the calculation of FTM becomes computationally expensive. However, an implicit Floquet analysis can significantly reduce the computational load. In this technique, the dominant eigenvalue of the FTM is computed without calculating the full FTM matrix. In this work, the stability regions obtained from the implicit Floquet analysis are compared with the results from Bolotin’s approach and verified using the time response of the panel obtained from numerical integration. Also, unlike Bolotin’s method, Floquet analysis provides information about the damping present in different areas of stability charts and the nature of bifurcation through which the stability is lost.

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IITH Creators:

IITH Creators	ORCiD
Vyasarayani, C P	http://orcid.org/0000-0002-3396-0484
Raju, Gangadharan	UNSPECIFIED

Item Type:

Article

Additional Information:

C.P. Vyasarayani gratefully acknowledges the Department of Science and Technology for funding this research through the Inspire Fellowship (DST/INSPIRE/04/2014/000972). Appendix A

Uncontrolled Keywords:

Arnoldi algorithm; Bolotin's approach; Floquet theory; Parametric instability; Variable angle tow composite

Subjects:

Physics > Mechanical and aerospace

Divisions:

Department of Mechanical & Aerospace Engineering

Depositing User:

Team Library

Date Deposited:

11 Nov 2019 06:07

Last Modified:

24 Nov 2022 11:21