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Convergence Characteristics of the Frequency Response Functions of Non-Linear Systems Expressed in Terms of the Volterra Series

Volterra급수로 나타낸 비선형시스템 주파수응답함수의 수렴특성

  • ;
  • Tomlinson, G. R.
  • 이건명 (경상대학교, 기계공학과, 생산기술연구소) ;
  • Published : 1995.08.01

Abstract

The frequency response functions of systems incorporating a non-linear cubic stiffness subject to sinusoidal excitation are derived using the Volterra series and the convergence characteristics investigated. It is shown that the series representation of the frequency response functions converges only when the sinewave input amplitude is within a certain range. Within the range of convergence the frequency response function based on the Volterra series approaches the analytical one as more higher order frequency response function terms are included. Proposed is a criterion for the studies systems to predict approximately the range of sinewave input amplitude for which the series representation of the frequency response functions converges.

Keywords