메뉴 건너뛰기




Volumn 5 B, Issue , 2003, Pages 1197-1207

Order reduction of nonlinear time periodic systems using invariant manifolds

Author keywords

Nonlinear Time Periodic Systems; Order reduction

Indexed keywords

DYNAMICS; EQUATIONS OF MOTION; LINEAR SYSTEMS; MAPS; PERTURBATION TECHNIQUES;

EID: 1842682311     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2003/vib-48445     Document Type: Conference Paper
Times cited : (7)

References (16)
  • 2
    • 85007709933 scopus 로고
    • Reduction of Stiffness and Mass Matrices
    • Guyan, R. J., 1965, "Reduction of Stiffness and Mass Matrices." AIAA Journal 3(380).
    • (1965) AIAA Journal , vol.3 , Issue.380
    • Guyan, R.J.1
  • 4
    • 0026420003 scopus 로고
    • Nonlinear Normal Modes and Invariant Manifolds
    • Shaw, S. W. and Pierre, C., 1991, "Nonlinear Normal Modes and Invariant Manifolds." Journal of Sound and Vibration 150(1), pp. 170-173.
    • (1991) Journal of Sound and Vibration , vol.150 , Issue.1 , pp. 170-173
    • Shaw, S.W.1    Pierre, C.2
  • 5
    • 0030780655 scopus 로고    scopus 로고
    • Non-linear Normal Modes (NNMs) and their Applications in Vibration Theory: An Overview
    • Vakakis, A. F., 1997, "Non-linear Normal Modes (NNMs) and their Applications in Vibration Theory: An Overview." Mechanical Systems and Signal Processing, 11(1), pp. 3-22.
    • (1997) Mechanical Systems and Signal Processing , vol.11 , Issue.1 , pp. 3-22
    • Vakakis, A.F.1
  • 6
    • 0031599011 scopus 로고    scopus 로고
    • Modal Analysis-Based Reduced-Order Models for Nonlinear Structures - An Invariant Manifold Approach
    • Shaw, S.W., Pierre, C. and Pesheck, E., 1999, "Modal Analysis-Based Reduced-Order Models for Nonlinear Structures - An Invariant Manifold Approach." The Shock and Vibration Digest, 31(1), pp. 3-16.
    • (1999) The Shock and Vibration Digest , vol.31 , Issue.1 , pp. 3-16
    • Shaw, S.W.1    Pierre, C.2    Pesheck, E.3
  • 7
    • 0028735481 scopus 로고
    • Model Reduction and Nonlinear Normal Modes in Structural Dynamics
    • Chicago, IL, ASME
    • Burton, T.D. and Young M.E., 1994, "Model Reduction and Nonlinear Normal Modes in Structural Dynamics." ASME Winter Annual Meeting, Chicago, IL, ASME.
    • (1994) ASME Winter Annual Meeting
    • Burton, T.D.1    Young, M.E.2
  • 8
    • 0034420597 scopus 로고    scopus 로고
    • The Reduction of Nonlinear Structural Dynamic Models
    • Burton, T.D. and Rhee R.W., 2000, "The Reduction of Nonlinear Structural Dynamic Models." Journal of Vibration and Control, 6(4), pp. 531-556.
    • (2000) Journal of Vibration and Control , vol.6 , Issue.4 , pp. 531-556
    • Burton, T.D.1    Rhee, R.W.2
  • 9
    • 0040805835 scopus 로고
    • Multipoint Padé_approximants of large scale system via two-sided rational Krylov algorithm
    • Lake Buena Vista, FL
    • Gallivan, K., Grimme, E. and P. Van Dooren, 1994, "Multipoint Padé_approximants of large scale system via two-sided rational Krylov algorithm" IEEE conference on Decision and Control, Lake Buena Vista, FL.
    • (1994) IEEE Conference on Decision and Control
    • Gallivan, K.1    Grimme, E.2    Van Dooren, P.3
  • 11
    • 0028513255 scopus 로고
    • Analysis of Quasilinear Dynamical Systems with Periodic Coefficients via Liapunov-Floquet Transformation
    • Sinha, S. C. and R. Pandiyan, 1994, "Analysis of Quasilinear Dynamical Systems with Periodic Coefficients via Liapunov-Floquet Transformation." International Journal of Non-linear Mechanics, 29, pp. 687-702.
    • (1994) International Journal of Non-linear Mechanics , vol.29 , pp. 687-702
    • Sinha, S.C.1    Pandiyan, R.2
  • 12
    • 0030129491 scopus 로고    scopus 로고
    • Liapunov-Floquet Transformation: Computation and Applications to Periodic Systems
    • Sinha, S.C, R. Pandiyan and Bibb, J.S., 1996, "Liapunov-Floquet Transformation: Computation and Applications to Periodic Systems." ASME Journal of Vibration and Acoustics, 118, pp. 209-219.
    • (1996) ASME Journal of Vibration and Acoustics , vol.118 , pp. 209-219
    • Sinha, S.C.1    Pandiyan, R.2    Bibb, J.S.3
  • 13
    • 0034417516 scopus 로고    scopus 로고
    • Order Reduction and Control of Parametrically Excited Dynamical Systems
    • Deshmukh, V., Sinha, S. C. and Joseph, P., 2000, "Order Reduction and Control of Parametrically Excited Dynamical Systems," Journal of Vibration and Control, 6, pp. 1017-1028.
    • (2000) Journal of Vibration and Control , vol.6 , pp. 1017-1028
    • Deshmukh, V.1    Sinha, S.C.2    Joseph, P.3
  • 15
    • 0032115332 scopus 로고    scopus 로고
    • Construction of Dynamically Equivalent Time-Invariant Forms for Time-Periodic Systems
    • Sinha, S.C., Butcher, E. A., David, A., 1998, "Construction of Dynamically Equivalent Time-Invariant Forms for Time-Periodic Systems." Nonlinear Dynamics 16: 203-221.
    • (1998) Nonlinear Dynamics , vol.16 , pp. 203-221
    • Sinha, S.C.1    Butcher, E.A.2    David, A.3
  • 16
    • 85024531365 scopus 로고
    • On the Parametric Excitation of a Dynamic System Having Multiple Degree of Freedom
    • Hsu, C. S., 1963, "On the Parametric Excitation of a Dynamic System Having Multiple Degree of Freedom." Journal of Applied Mechanics, 30, pp. 367-372.
    • (1963) Journal of Applied Mechanics , vol.30 , pp. 367-372
    • Hsu, C.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.