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Keywords: harmonic oscillation
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2022, 17(12): 121001.
Paper No: CND-22-1069
Published Online: September 26, 2022
... by the nonlinear terms coupled with the first mode. The approximate solutions of the harmonic oscillations were obtained using van der Pol's method. The frequency response curves (FRCs) for both the physical and modal coordinates for N = 2 and 3 are presented. Localization can occur when multiple modes are excited...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2015, 10(2): 021007.
Paper No: CND-13-1239
Published Online: March 1, 2015
..., sinusoidal excitation. In the theoretical analysis, van der Pol's method is employed to determine the expressions for the frequency response curves for fundamental harmonic oscillations. In the numerical calculations, the frequency response curves are presented for N = 2 and 3 and compared with the results...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2013, 8(4): 041009.
Paper No: CND-12-1211
Published Online: March 26, 2013
...Takashi Ikeda; Yuji Harata; Keisuke Nishimura 27 11 2012 18 02 2013 where the symbol ′ has been omitted. Van der Pol's method [ 19 ] is applied to determine the approximate steady-state solutions for the fundamental harmonic oscillations of Eq. (3) , which can be assumed...