Journal Article10.1016/0022-460X(90)90528-8
Application of the incremental harmonic balance method to cubic non-linearity systems
Y.K. Cheung,S.H. Chen,S.L. Lau +2 more
205
TL;DR: In this paper, an incremental harmonic balance (IHB) method is derived for a general system of differential equations with cubic nonlinearity, which governs a wide range of engineering problems such as large-amplitude vibration of beams or plates.
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About: This article is published in Journal of Sound and Vibration. The article was published on 22 Jul 1990. The article focuses on the topics: Harmonic balance & Floquet theory.
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References
A fast incremental/iterative solution procedure that handles "snap-through"
TL;DR: In this article, a modified version of the Newton-Raphson method is proposed to overcome limit points in the finite element method with a fixed load level and a constraint equation.
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Efficient numerical treatment of periodic systems with application to stability problems
TL;DR: In this paper, two efficient numerical methods for dealing with the stability of linear periodic systems are presented, which combine the use of multivariable Floquet-Liapunov theory with an efficient numerical scheme for computing the transition matrix at the end of one period.
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