메뉴 건너뛰기




Volumn 38, Issue 7, 2003, Pages 1037-1043

Analytical approximation to large-amplitude oscillation of a non-linear conservative system

Author keywords

Large amplitude; Linearization; Non linear oscillation

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; LINEARIZATION; NONLINEAR SYSTEMS;

EID: 0037412162     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(02)00050-1     Document Type: Article
Times cited : (44)

References (15)
  • 5
    • 0022603301 scopus 로고
    • On the multi-scale analysis of strongly nonlinear forced oscillations
    • Burton T.D., Rahman Z. On the multi-scale analysis of strongly nonlinear forced oscillations. Int. J. Non-Linear Mech. 21:1986;135.
    • (1986) Int. J. Non-Linear Mech. , vol.21 , pp. 135
    • Burton, T.D.1    Rahman, Z.2
  • 6
    • 0025887981 scopus 로고
    • A modified Lindstedt-Poincaré Method for certain strongly non-linear oscillators
    • Cheung Y.K., Chen S.H., Lau S.L. A modified Lindstedt-Poincaré method for certain strongly non-linear oscillators. Int. J. Non-Linear Mech. 26:1991;367.
    • (1991) Int. J. Non-Linear Mech. , vol.26 , pp. 367
    • Cheung, Y.K.1    Chen, S.H.2    Lau, S.L.3
  • 7
    • 0030567896 scopus 로고    scopus 로고
    • A power series approach for the study of periodic motion
    • Qaisi M.I. A power series approach for the study of periodic motion. J. Sound Vib. 196:1996;401.
    • (1996) J. Sound Vib. , vol.196 , pp. 401
    • Qaisi, M.I.1
  • 8
    • 0035912201 scopus 로고    scopus 로고
    • Large amplitude free vibration of a conservative system with inertia and static nonlinearity
    • Qaisi M.I., Al-Huniti N.S. Large amplitude free vibration of a conservative system with inertia and static nonlinearity. J. Sound Vib. 242:2001;1.
    • (2001) J. Sound Vib. , vol.242 , pp. 1
    • Qaisi, M.I.1    Al-Huniti, N.S.2
  • 9
    • 0031237172 scopus 로고    scopus 로고
    • Large amplitude free vibrations of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia
    • Hamdan M.N., Dado M.H. Large amplitude free vibrations of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia. J. Sound Vib. 206:1997;151.
    • (1997) J. Sound Vib. , vol.206 , pp. 151
    • Hamdan, M.N.1    Dado, M.H.2
  • 10
    • 0022894477 scopus 로고
    • A generalization of the method of harmonic balance
    • Mickens R.E. A generalization of the method of harmonic balance. J. Sound Vib. 111:1986;5l5.
    • (1986) J. Sound Vib. , vol.111
    • Mickens, R.E.1
  • 11
    • 0001241171 scopus 로고
    • Nonperterbative method for solving differential equations and finding limit cycles
    • Delamotte B. Nonperterbative method for solving differential equations and finding limit cycles. Phys. Rev. Lett. 70:1993;3361.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 3361
    • Delamotte, B.1
  • 12
    • 0001204237 scopus 로고
    • Comments on the method of harmonic balance
    • Mickens R.E. Comments on the method of harmonic balance. J. Sound Vib. 94:1984;456.
    • (1984) J. Sound Vib. , vol.94 , pp. 456
    • Mickens, R.E.1
  • 13
    • 0035686567 scopus 로고    scopus 로고
    • A method for obtaining approximate analytic periods for a class of nonlinear oscillators
    • Wu B.S., Li P.S. A method for obtaining approximate analytic periods for a class of nonlinear oscillators. Meccanica. 36:2001;167.
    • (2001) Meccanica , vol.36 , pp. 167
    • Wu, B.S.1    Li, P.S.2
  • 14
    • 0035650191 scopus 로고    scopus 로고
    • A new approximate analytic approach for dispersion relation of the nonlinear Klein-Gordon equation
    • Lim C.W., Wu B.S., He L.H. A new approximate analytic approach for dispersion relation of the nonlinear Klein-Gordon equation. Chaos. 11:2001;843.
    • (2001) Chaos , vol.11 , pp. 843
    • Lim, C.W.1    Wu, B.S.2    He, L.H.3
  • 15
    • 0012226336 scopus 로고    scopus 로고
    • A modified Mickens procedure for certain non-linear oscillators
    • in press
    • C.W. Lim, B.S. Wu, A.F. Li, A modified Mickens procedure for certain non-linear oscillators, J. Sound. Vib., in press.
    • J. Sound. Vib.
    • Lim, C.W.1    Wu, B.S.2    Li, A.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.