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- W1027187813 abstract "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 exploit 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 is developed. A new procedure for the tracking of Neimark-Sacker bifurcations that exploits the properties of eigenvalue derivatives is also proposed. The HB method is demonstrated using numerical experiments of a spacecraft structure that possesses a nonlinear vibration isolation device." @default.
- W1027187813 created "2016-06-24" @default.
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- W1027187813 date "2015-11-01" @default.
- W1027187813 modified "2023-10-14" @default.
- W1027187813 title "The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems" @default.
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- W1027187813 doi "https://doi.org/10.1016/j.cma.2015.07.017" @default.
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