Dynamic harmonic balance principle and analysis of rocking block motions

Igor M. Boiko

doi:10.1016/j.jfranklin.2012.01.007

Dynamic harmonic balance principle and analysis of rocking block motions

Igor M. Boiko

Electrical Engineering

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The harmonic balance (HB) principle is a powerful and convenient tool for finding periodic solutions in nonlinear systems. In the present paper, this principle is extended to transient processes in systems with one single-valued odd-symmetric nonlinearity and linear plant not having zeros in the transfer function, and named the dynamic HB. Based on the dynamic HB, first the equations for the amplitude, frequency, and amplitude decay of an oscillatory process in the Lure system are derived. It is then applied to analysis of rocking block decaying motions. An example is provided.

Original language	British English
Pages (from-to)	1198-1212
Number of pages	15
Journal	Journal of the Franklin Institute
Volume	349
Issue number	3
DOIs	https://doi.org/10.1016/j.jfranklin.2012.01.007
State	Published - Apr 2012

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10.1016/j.jfranklin.2012.01.007

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abstract = "The harmonic balance (HB) principle is a powerful and convenient tool for finding periodic solutions in nonlinear systems. In the present paper, this principle is extended to transient processes in systems with one single-valued odd-symmetric nonlinearity and linear plant not having zeros in the transfer function, and named the dynamic HB. Based on the dynamic HB, first the equations for the amplitude, frequency, and amplitude decay of an oscillatory process in the Lure system are derived. It is then applied to analysis of rocking block decaying motions. An example is provided.",

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AB - The harmonic balance (HB) principle is a powerful and convenient tool for finding periodic solutions in nonlinear systems. In the present paper, this principle is extended to transient processes in systems with one single-valued odd-symmetric nonlinearity and linear plant not having zeros in the transfer function, and named the dynamic HB. Based on the dynamic HB, first the equations for the amplitude, frequency, and amplitude decay of an oscillatory process in the Lure system are derived. It is then applied to analysis of rocking block decaying motions. An example is provided.

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Dynamic harmonic balance principle and analysis of rocking block motions

Abstract

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