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Title:
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Simultaneous detection of the nonlinear restoring and excitation of a forced nonlinear oscillation: an integral approach
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Author:
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Ahmad, Fayyaz; Jang, Taek Soo; Park, Jinsoo; Sung, Hong Gun
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Other authors:
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Universitat Politècnica de Catalunya. GAA - Grup d'Astronomia i Astrofísica |
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Abstract:
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We address in this article, how to calculate the restoring characteristic and the excitation of a nonlinear forced oscillating system. Under the assumption that the forced nonlinear oscillator has a periodic solution with period, we constructed a system of linear equations by introducing time-dependent multipliers. The periodicity assumption helps simplify the system of linear equations. The stability and uniqueness are also presented for the inverse problem. Numerical testing is conducted to show the effectiveness of our presented methodology. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-Nonlinear oscillators
-Forced nonlinear oscillator
-Inverse problem
-Periodic solution
-Nonlinear restoring and excitation
-Oscil·lacions no lineals |
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Rights:
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Document type:
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Article - Submitted version
Article |
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