Transactions of the Korean Society of Mechanical Engineers (대한기계학회논문집)
- Volume 19 Issue 8
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- Pages.1901-1906
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- 1995
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- 1225-5963(pISSN)
DOI QR Code
Convergence Characteristics of the Frequency Response Functions of Non-Linear Systems Expressed in Terms of the Volterra Series
Volterra급수로 나타낸 비선형시스템 주파수응답함수의 수렴특성
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
- Non-Linear System;
- Volterra Series;
- Frequency Response Function;
- Higher Order Frequency Function;
- Convergence
- 비선형시스템;
- Volterra급수;
- 주파수응답함수;
- 고차 주파수응답함수;
- 수렴;