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Volumn 332, Issue 4, 2013, Pages 968-977

A high-order, purely frequency based harmonic balance formulation for continuation of periodic solutions: The case of non-polynomial nonlinearities

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC EQUATIONS; ALGEBRAIC SYSTEM; ASYMPTOTIC NUMERICAL METHOD; EXPONENTIAL NONLINEARITY; HARMONIC BALANCE; HARMONIC BALANCE METHOD; HIGH-ORDER; INITIAL CONDITIONS; NONLINEAR FUNCTIONS; PERIODIC SOLUTION; QUADRATIC SYSTEMS; SERIES REPRESENTATIONS; STATE VARIABLES; TIME VARIABLE; VIBRO IMPACT SYSTEM;

EID: 84870239290     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2012.09.033     Document Type: Article
Times cited : (70)

References (13)
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    • (2009) Journal of Sound and Vibration , vol.324 , pp. 243-262
    • Cochelin, B.1    Vergez, C.2
  • 2
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    • Periodic solutions of differential systems, Galerkin's procedure and the method of averaging
    • Minoru Urabe Periodic solutions of differential systems, Galerkin's procedure and the method of averaging Journal of Differential Equations 2 3 1966 265 280
    • (1966) Journal of Differential Equations , vol.2 , Issue.3 , pp. 265-280
    • Urabe, M.1
  • 3
    • 0016919344 scopus 로고
    • A piecewise harmonic balance technique for determination of periodic response of nonlinear systems
    • FEBRUARY 2
    • M. Nakhla, and J. Vlach A piecewise harmonic balance technique for determination of periodic response of nonlinear systems IEEE Transactions on Circuits and Systems 23 February (2) 1976 85 91
    • (1976) IEEE Transactions on Circuits and Systems , vol.23 , pp. 85-91
    • Nakhla, M.1    Vlach, J.2
  • 4
    • 0028763617 scopus 로고
    • A path-following technique via an asymptotic-numerical method
    • Bruno Cochelin A path-following technique via an asymptotic-numerical method Computers and Structures 53 1994 1181 1192
    • (1994) Computers and Structures , vol.53 , pp. 1181-1192
    • Cochelin, B.1
  • 6
    • 78649448831 scopus 로고    scopus 로고
    • High order harmonic balance formulation of free and encapsulated microbubbles
    • Marie-Christine Pauzin, Serge Mensah, Bruno Cochelin, and Jean-Pierre Lefebvre High order harmonic balance formulation of free and encapsulated microbubbles Journal of Sound and Vibration 330 5 2011 987 1004
    • (2011) Journal of Sound and Vibration , vol.330 , Issue.5 , pp. 987-1004
    • Pauzin, M.-C.1    Mensah, S.2    Cochelin, B.3    Lefebvre, J.-P.4
  • 7
    • 79952574189 scopus 로고    scopus 로고
    • Computational and quasi-analytical models for non-linear vibrations of resonant mems and nems sensors
    • N. Kacem, S. Baguet, S. Hentz, and R. Dufour Computational and quasi-analytical models for non-linear vibrations of resonant mems and nems sensors International Journal of Non-Linear Mechanics 46 3 2011 532 542
    • (2011) International Journal of Non-Linear Mechanics , vol.46 , Issue.3 , pp. 532-542
    • Kacem, N.1    Baguet, S.2    Hentz, S.3    Dufour, R.4
  • 8
    • 77956647722 scopus 로고    scopus 로고
    • A harmonic-based method for computing the stability of periodic solutions of dynamical systems
    • A. Lazarus, and O. Thomas A harmonic-based method for computing the stability of periodic solutions of dynamical systems Comptes Rendus de Mécaniques 338 2010 510 517
    • (2010) Comptes Rendus de Mécaniques , vol.338 , pp. 510-517
    • Lazarus, A.1    Thomas, O.2
  • 12
    • 39949083023 scopus 로고    scopus 로고
    • Différentiation automatique de la méthode asymptotique numérique typée l'approche diamant
    • (Automatic differentiation of asymptotic numerical method: the DIAMANT approach)
    • Isabelle Charpentier, and Michel Potier-Ferry Différentiation automatique de la méthode asymptotique numérique typée l'approche diamant Comptes Rendus Mécanique 336 3 2008 336 340 (Automatic differentiation of asymptotic numerical method: the DIAMANT approach)
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    • Charpentier, I.1    Potier-Ferry, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.