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Volumn 302, Issue 4-5, 2007, Pages 1018-1029

Application of the harmonic balance method to a nonlinear oscillator typified by a mass attached to a stretched wire

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; ELECTRIC WIRE; FOURIER TRANSFORMS; NONLINEAR SYSTEMS; OSCILLATORS (ELECTRONIC);

EID: 33947270453     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.12.011     Document Type: Article
Times cited : (92)

References (19)
  • 5
    • 0036489498 scopus 로고    scopus 로고
    • Modified Lindstedt-Poincare methods for some non-linear oscillations. Part I: expansion of a constant
    • He J.H. Modified Lindstedt-Poincare methods for some non-linear oscillations. Part I: expansion of a constant. International Journal of Non-Linear Mechanics 37 (2002) 309-314
    • (2002) International Journal of Non-Linear Mechanics , vol.37 , pp. 309-314
    • He, J.H.1
  • 7
    • 15944389556 scopus 로고    scopus 로고
    • Improved Lindstedt-Poincaré method for the solution of nonlinear problems
    • Amore P., and Aranda A. Improved Lindstedt-Poincaré method for the solution of nonlinear problems. Journal of Sound and Vibration 283 (2005) 1115-1136
    • (2005) Journal of Sound and Vibration , vol.283 , pp. 1115-1136
    • Amore, P.1    Aranda, A.2
  • 8
    • 19944416559 scopus 로고    scopus 로고
    • Exact and approximate expressions for the period of anharmonic oscillators
    • Amore P., and Fernández F.M. Exact and approximate expressions for the period of anharmonic oscillators. European Journal of Physics 26 (2005) 589-601
    • (2005) European Journal of Physics , vol.26 , pp. 589-601
    • Amore, P.1    Fernández, F.M.2
  • 9
    • 27744453171 scopus 로고    scopus 로고
    • Alternative perturbation approaches in classical mechanics
    • Amore P., Raya A., and Fernández F.M. Alternative perturbation approaches in classical mechanics. European Journal of Physics 26 (2005) 1057-1063
    • (2005) European Journal of Physics , vol.26 , pp. 1057-1063
    • Amore, P.1    Raya, A.2    Fernández, F.M.3
  • 10
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.H. Some asymptotic methods for strongly nonlinear equations. International Journal of Modern Physics B 10 (2006) 1141-1199
    • (2006) International Journal of Modern Physics B , vol.10 , pp. 1141-1199
    • He, J.H.1
  • 11
    • 0001241171 scopus 로고
    • Nonperturbative (but approximate) method for solving differential equations and finding limit cycles
    • Delamotte B. Nonperturbative (but approximate) method for solving differential equations and finding limit cycles. Physical Review Letters 70 (1993) 3361-3364
    • (1993) Physical Review Letters , vol.70 , pp. 3361-3364
    • Delamotte, B.1
  • 12
    • 0141882931 scopus 로고    scopus 로고
    • Large amplitude nonlinear oscillations of a general conservative system
    • Wu B.S., and Lim C.W. Large amplitude nonlinear oscillations of a general conservative system. International Journal of Non-Linear Mechanics 39 (2004) 859-870
    • (2004) International Journal of Non-Linear Mechanics , vol.39 , pp. 859-870
    • Wu, B.S.1    Lim, C.W.2
  • 13
    • 13444260836 scopus 로고    scopus 로고
    • Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers
    • Lim C.W., and Wu B.S. Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers. Journal of Sound and Vibration 281 (2005) 1157-1162
    • (2005) Journal of Sound and Vibration , vol.281 , pp. 1157-1162
    • Lim, C.W.1    Wu, B.S.2
  • 15
    • 0038294438 scopus 로고    scopus 로고
    • A new analytical approach to the Duffing-harmonic oscillator
    • Lim C.W., and Wu B.S. A new analytical approach to the Duffing-harmonic oscillator. Physics Letters A 311 (2003) 365-373
    • (2003) Physics Letters A , vol.311 , pp. 365-373
    • Lim, C.W.1    Wu, B.S.2
  • 16
    • 33646528864 scopus 로고    scopus 로고
    • Solution of a Duffing-harmonic oscillator by the method of harmonic balance
    • Hu H., and Tang J.H. Solution of a Duffing-harmonic oscillator by the method of harmonic balance. Journal of Sound and Vibration 294 (2006) 637-639
    • (2006) Journal of Sound and Vibration , vol.294 , pp. 637-639
    • Hu, H.1    Tang, J.H.2
  • 17
    • 33644954455 scopus 로고    scopus 로고
    • Solution of a quadratic nonlinear oscillator by the method of harmonic balence
    • Hu H. Solution of a quadratic nonlinear oscillator by the method of harmonic balence. Journal of Sound and Vibration 293 (2006) 462-468
    • (2006) Journal of Sound and Vibration , vol.293 , pp. 462-468
    • Hu, H.1
  • 18
    • 2442710301 scopus 로고
    • Hypergeometric functions
    • Abramowitz M., and Stegun I.A. (Eds), Dover Publications, Inc., New York
    • Oberhettinger F. Hypergeometric functions. In: Abramowitz M., and Stegun I.A. (Eds). Handbook of Mathematical Functions (1972), Dover Publications, Inc., New York
    • (1972) Handbook of Mathematical Functions
    • Oberhettinger, F.1
  • 19
    • 0002836350 scopus 로고
    • Elliptic integrals
    • Abramowitz M., and Stegun I.A. (Eds), Dover Publications, Inc., New York
    • Milne-Thomson L.M. Elliptic integrals. In: Abramowitz M., and Stegun I.A. (Eds). Handbook of Mathematical Functions (1972), Dover Publications, Inc., New York
    • (1972) Handbook of Mathematical Functions
    • Milne-Thomson, L.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.