메뉴 건너뛰기




Volumn 127, Issue 4, 2005, Pages 416-419

Higher-order pseudoaveraging via harmonic balance for strongly nonlinear oscillations

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; HARMONIC ANALYSIS; MATHEMATICAL MODELS; OSCILLATIONS; PERTURBATION TECHNIQUES;

EID: 24644523427     PISSN: 10489002     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1924639     Document Type: Article
Times cited : (7)

References (13)
  • 1
    • 0022894477 scopus 로고
    • "A Generalisation of the Method of Harmonic Balance"
    • Mickens, R. E., 1986, "A Generalisation of the Method of Harmonic Balance," J. Sound Vib. 111(3), pp. 515-518.
    • (1986) J. Sound Vib. , vol.111 , Issue.3 , pp. 515-518
    • Mickens, R.E.1
  • 2
    • 0011232155 scopus 로고
    • "Averaging Method for the Solution of Nonlinear Differential Equations With Periodic Non-Harmonic Solutions"
    • Cap, F., 1974, "Averaging Method for the Solution of Nonlinear Differential Equations With Periodic Non-Harmonic Solutions," Int. J. Non-Linear Mech. 9, pp. 441-450.
    • (1974) Int. J. Non-Linear Mech. , vol.9 , pp. 441-450
    • Cap, F.1
  • 3
    • 0025434586 scopus 로고
    • "Improvement of a Krylov-Bogoliubov Method That Uses Jacobi Elliptic Functions"
    • Yuste, S. B., and Bejarano, J. D., 1990, "Improvement of a Krylov-Bogoliubov Method That Uses Jacobi Elliptic Functions," J. Sound Vib. 139(1), pp. 151-163.
    • (1990) J. Sound Vib. , vol.139 , Issue.1 , pp. 151-163
    • Yuste, S.B.1    Bejarano, J.D.2
  • 4
    • 0014586184 scopus 로고
    • "An Extension of the Method of Krylov and Bogoliubov"
    • Barkham, P. G. D., and Soudack, A. C., 1969, "An Extension of the Method of Krylov and Bogoliubov," Int. J. Control 10(4), pp. 377-392.
    • (1969) Int. J. Control , vol.10 , Issue.4 , pp. 377-392
    • Barkham, P.G.D.1    Soudack, A.C.2
  • 5
    • 0025206791 scopus 로고
    • "Averaging Using Elliptic Functions: Approximations of Limit Cycles"
    • Coppola, V. T., and Rand, R. H., 1990, "Averaging Using Elliptic Functions: Approximations of Limit Cycles," Acta Mech. 81, pp. 125-142.
    • (1990) Acta Mech. , vol.81 , pp. 125-142
    • Coppola, V.T.1    Rand, R.H.2
  • 6
    • 0028466109 scopus 로고
    • "Averaging Using Generalized Harmonic Functions for Strongly Nonlinear Oscillators"
    • Xu, Z., and Cheung, Y. K., 1994, "Averaging Using Generalized Harmonic Functions for Strongly Nonlinear Oscillators," J. Sound Vib. 174 (4), pp. 563-576.
    • (1994) J. Sound Vib. , vol.174 , Issue.4 , pp. 563-576
    • Xu, Z.1    Cheung, Y.K.2
  • 7
    • 0000705229 scopus 로고
    • "Internal Resonance of Strongly Nonlinear Autonomous Vibrating Systems With Many Degrees of Freedom"
    • Cheung, Y. K., and Xu, Z., 1995, "Internal Resonance of Strongly Nonlinear Autonomous Vibrating Systems With Many Degrees of Freedom," J. Sound Vib. 180(2), pp. 229-238.
    • (1995) J. Sound Vib. , vol.180 , Issue.2 , pp. 229-238
    • Cheung, Y.K.1    Xu, Z.2
  • 8
    • 0005214514 scopus 로고
    • "On the Generalized Averaging Method of a Class of Strongly Nonlinear Forced Oscillators"
    • Mahmoud, G. M., 1993, "On the Generalized Averaging Method of a Class of Strongly Nonlinear Forced Oscillators," Physica A 199, pp. 87-95.
    • (1993) Physica A , vol.199 , pp. 87-95
    • Mahmoud, G.M.1
  • 9
    • 0141905286 scopus 로고    scopus 로고
    • "Harmonic Balance Based Averaging: Approximate Realizations of an Asymptotic Technique"
    • Chatterjee, A., 2003, "Harmonic Balance Based Averaging: Approximate Realizations of an Asymptotic Technique," Nonlinear Dyn. 32, pp. 323-343.
    • (2003) Nonlinear Dyn. , vol.32 , pp. 323-343
    • Chatterjee, A.1
  • 10
    • 0041344539 scopus 로고    scopus 로고
    • "Multiple Scales via Galerkin Projections: Approximate Asymptotics for Strongly Nonlinear Oscillations"
    • Das, S. L., and Chatterjee, A., 2003, "Multiple Scales via Galerkin Projections: Approximate Asymptotics for Strongly Nonlinear Oscillations," Nonlinear Dyn. 32, pp. 161-186.
    • (2003) Nonlinear Dyn. , vol.32 , pp. 161-186
    • Das, S.L.1    Chatterjee, A.2
  • 11
    • 0038341785 scopus 로고    scopus 로고
    • "Approximate Asymptotics for a Nonlinear Mathieu Equation Using Harmonic Balance Based Averaging"
    • Abraham, G. T., and Chatterjee, A., 2003, "Approximate Asymptotics for a Nonlinear Mathieu Equation Using Harmonic Balance Based Averaging," Nonlinear Dyn. 31, pp. 347-365.
    • (2003) Nonlinear Dyn. , vol.31 , pp. 347-365
    • Abraham, G.T.1    Chatterjee, A.2
  • 12
    • 0012323835 scopus 로고    scopus 로고
    • "Lecture Notes on Nonlinear Vibrations"
    • Version 45, available online at
    • Rand, R. H., 2003, "Lecture Notes on Nonlinear Vibrations," Version 45, available online at http://www.tam.cornell.edu/randdocs/
    • (2003)
    • Rand, R.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.