메뉴 건너뛰기




Volumn 330, Issue 2, 2011, Pages 337-355

Analysis of nonlinear oscillators using Volterra series in the frequency domain

Author keywords

[No Author keywords available]

Indexed keywords

ANALYSIS AND DESIGN; CUBIC STIFFNESS NON-LINEARITY; DUFFING OSCILLATOR; FREQUENCY DOMAINS; GENERALISATION; HARMONIC EXCITATION; LINEAR CONVOLUTION; NON-LINEAR OSCILLATORS; NON-LINEAR PHENOMENA; NONLINEAR DIFFERENTIAL EQUATION; NUMERICAL TECHNIQUES; TIME AND FREQUENCY DOMAINS; TIME DOMAIN; UPPER LIMITS; VOLTERRA; VOLTERRA SERIES; VOLTERRA SERIES REPRESENTATION; WEAK NONLINEARITY; WEAKLY NONLINEAR SYSTEMS;

EID: 78049235504     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2010.08.016     Document Type: Article
Times cited : (37)

References (26)
  • 1
    • 0042072625 scopus 로고
    • The use of Volterra Series to find region of stability of a non-linear differential equation
    • J.F. Barrett The use of Volterra Series to find region of stability of a non-linear differential equation International Journal of Control 1 1965 209 216
    • (1965) International Journal of Control , vol.1 , pp. 209-216
    • Barrett, J.F.1
  • 6
    • 0028466140 scopus 로고
    • Application of higher order spectral analysis to cubically non-linear system identification
    • S.W. Nam, and E.J. Powers Application of higher order spectral analysis to cubically non-linear system identification IEEE Transactions on Signal Processing 42 1994 1746 1766
    • (1994) IEEE Transactions on Signal Processing , vol.42 , pp. 1746-1766
    • Nam, S.W.1    Powers, E.J.2
  • 7
    • 38249007490 scopus 로고
    • Spectral analysis for nonlinear systems, part IIinterpretation of nonlinear frequency response functions
    • S.A. Billings, and K.M. Tsang Spectral analysis for nonlinear systems, part IIinterpretation of nonlinear frequency response functions Mechanical Systems and Signal Processing 3 1989 341 359
    • (1989) Mechanical Systems and Signal Processing , vol.3 , pp. 341-359
    • Billings, S.A.1    Tsang, K.M.2
  • 9
    • 84899643337 scopus 로고
    • Mapping non-linear integro-differential equations into the frequency domain
    • S.A. Billings, and J.C. Peyton Jones Mapping non-linear integro-differential equations into the frequency domain International Journal of Control 52 1990 863 879
    • (1990) International Journal of Control , vol.52 , pp. 863-879
    • Billings, S.A.1    Peyton Jones, J.C.2
  • 10
    • 0024770835 scopus 로고
    • A recursive algorithm for computing the frequency response of a class of non-linear difference equation models
    • J.C. Peyton Jones, and S.A. Billings A recursive algorithm for computing the frequency response of a class of non-linear difference equation models International Journal of Control 50 1989 1925 1940
    • (1989) International Journal of Control , vol.50 , pp. 1925-1940
    • Peyton Jones, J.C.1    Billings, S.A.2
  • 11
    • 0000661335 scopus 로고
    • The use of functionals in the analysis of nonlinear physical systems
    • J.F. Barrett The use of functionals in the analysis of nonlinear physical systems Journal of Electronics and Control 15 1963 567 615
    • (1963) Journal of Electronics and Control , vol.15 , pp. 567-615
    • Barrett, J.F.1
  • 12
    • 0015205886 scopus 로고
    • The output properties of Volterra systems (nonlinear systems with memory) driven by harmonic and Gaussian inputs
    • E. Bedrosian, and S.O. Rice The output properties of Volterra systems (nonlinear systems with memory) driven by harmonic and Gaussian inputs Proceedings of the IEEE 59 1971 1688 1707
    • (1971) Proceedings of the IEEE , vol.59 , pp. 1688-1707
    • Bedrosian, E.1    Rice, S.O.2
  • 13
    • 0030109532 scopus 로고    scopus 로고
    • A simple criterion for establishing an upper limit to the harmonic excitation level of the Duffing oscillator using the Volterra Series
    • G.R. Tomlinson, G. Manson, and G.M. Lee A simple criterion for establishing an upper limit to the harmonic excitation level of the Duffing oscillator using the Volterra Series Journal of Sound and Vibration 190 1996 751 762
    • (1996) Journal of Sound and Vibration , vol.190 , pp. 751-762
    • Tomlinson, G.R.1    Manson, G.2    Lee, G.M.3
  • 14
    • 0034273760 scopus 로고    scopus 로고
    • Convergence analysis of Volterra series response of nonlinear systems subjected to harmonic excitation
    • A. Chatterjee, and N.S. Vyas Convergence analysis of Volterra series response of nonlinear systems subjected to harmonic excitation Journal of Sound and Vibration 236 2000 339 358
    • (2000) Journal of Sound and Vibration , vol.236 , pp. 339-358
    • Chatterjee, A.1    Vyas, N.S.2
  • 15
    • 34249986139 scopus 로고    scopus 로고
    • On the convergence of the Volterra-series representation of the Duffing's oscillators subjected to harmonic excitations
    • Z.K. Peng, and Z.Q. Lang On the convergence of the Volterra-series representation of the Duffing's oscillators subjected to harmonic excitations Journal of Sound and Vibration 305 2007 322 332
    • (2007) Journal of Sound and Vibration , vol.305 , pp. 322-332
    • Peng, Z.K.1    Lang, Z.Q.2
  • 16
    • 0035629540 scopus 로고    scopus 로고
    • The response spectrum map, a frequency domain equivalent to the bifurcation diagram
    • S.A. Billings, and O.M. Boaghe The response spectrum map, a frequency domain equivalent to the bifurcation diagram International Journal of Bifurcation and Chaos 11 2001 1961 1975
    • (2001) International Journal of Bifurcation and Chaos , vol.11 , pp. 1961-1975
    • Billings, S.A.1    Boaghe, O.M.2
  • 19
    • 0002709930 scopus 로고
    • Universal behaviour in nonlinear systems
    • M.J. Feigenbaum Universal behaviour in nonlinear systems Los Alamos Science 4 1980
    • (1980) Los Alamos Science , vol.4
    • Feigenbaum, M.J.1
  • 24
    • 31744434621 scopus 로고    scopus 로고
    • Discrete time subharmonic modelling and analysis
    • L.M. Li, and S.A. Billings Discrete time subharmonic modelling and analysis International Journal of Control 78 2005 1265 1284
    • (2005) International Journal of Control , vol.78 , pp. 1265-1284
    • Li, L.M.1    Billings, S.A.2
  • 26
    • 0035920324 scopus 로고    scopus 로고
    • Continuous time non-linear system identification in the frequency domain
    • L.M. Li, and S.A. Billings Continuous time non-linear system identification in the frequency domain International Journal of Control 74 2001 1052 1061
    • (2001) International Journal of Control , vol.74 , pp. 1052-1061
    • Li, L.M.1    Billings, S.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.