The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
نویسندگان
چکیده
منابع مشابه
The Harmonic Balance Method for Bifurcation Analysis of Large-Scale Nonlinear Mechanical Systems
The harmonic balance (HB) method is widely used in the literature for analyzing the periodic solutions of nonlinear mechanical systems. The objective of this paper is to extend the method for bifurcation analysis, i.e., for the detection and tracking of bifurcations of nonlinear systems. To this end, an algorithm that combines the computation of the Floquet exponents with bordering techniques i...
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Because nowadays structural engineers are willing to use or at least understand nonlinearities instead of simply avoiding them, there is a need for numerical tools performing analysis of nonlinear large-scale structures. Among these techniques, the harmonic balance (HB) method is certainly one of the most commonly used to study finite element models with reasonably complex nonlinearities. Howev...
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As a tool for analyzing nonlinear large-scale structures, the harmonic balance (HB) method has recently received increasing attention in the structural dynamics community. However, its use was so far limited to the approximation and study of periodic solutions, and other methods as the shooting and orthogonal collocation techniques were usually preferred to further analyze these solutions and t...
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2015
ISSN: 0045-7825
DOI: 10.1016/j.cma.2015.07.017