메뉴 건너뛰기




Volumn 330, Issue 13, 2011, Pages 3196-3221

A hybrid approach for the modal analysis of continuous systems with discrete piecewise-linear constraints

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL METHOD; ARBITRARY BOUNDARY CONDITIONS; BASIS FUNCTIONS; CHAOTIC RESPONSE; CONTACT TIME; CONTINUOUS SYSTEM; DEADBANDS; DEFLECTION PROFILES; ENERGY NORM; FINITE-TIME LYAPUNOV EXPONENT; HOMOGENEOUS BOUNDARY CONDITION; HYBRID APPROACH; IMPACT VELOCITIES; NUMERICAL APPROACHES; PARAMETER SPACES; PARAMETER STUDIES; PIECEWISE-LINEAR; PINNED-PINNED BEAMS; PRELOADS; ROBUST METHODS; SLOPE DISCONTINUITIES; SPRING MODEL; SUPERPOSITION METHOD; VARIATIONAL CALCULUS; VISCOUS FLUIDS;

EID: 79953695632     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2011.01.028     Document Type: Article
Times cited : (16)

References (45)
  • 1
    • 71249149235 scopus 로고    scopus 로고
    • Modal analysis of a gyroscopic system with nonlinear constraints
    • M.R. Brake, and J.A. Wickert Modal analysis of a gyroscopic system with nonlinear constraints Journal of Sound and Vibration 329 2010 893 911
    • (2010) Journal of Sound and Vibration , vol.329 , pp. 893-911
    • Brake, M.R.1    Wickert, J.A.2
  • 2
    • 4644271328 scopus 로고
    • On the statistics of chaotic vibro-impact
    • G.S. Whiston On the statistics of chaotic vibro-impact Journal of Sound and Vibration 116 1987 598 603
    • (1987) Journal of Sound and Vibration , vol.116 , pp. 598-603
    • Whiston, G.S.1
  • 4
    • 0028463625 scopus 로고
    • Non-linear real and complex modes of conewise linear systems
    • L. Zuo, and A. Curnier Non-linear real and complex modes of conewise linear systems Journal of Sound and Vibration 174 1994 289 313
    • (1994) Journal of Sound and Vibration , vol.174 , pp. 289-313
    • Zuo, L.1    Curnier, A.2
  • 5
    • 0001134657 scopus 로고    scopus 로고
    • Clearance effects on bilinear normal mode frequencies
    • E.A. Butcher Clearance effects on bilinear normal mode frequencies Journal of Sound and Vibration 224 1999 305 328 (Pubitemid 129550306)
    • (1999) Journal of Sound and Vibration , vol.224 , Issue.2 , pp. 305-328
    • Butcher, E.A.1
  • 6
    • 0030127895 scopus 로고    scopus 로고
    • New analysis method for a thin beam impacting against a stop based on the full continuous model
    • DOI 10.1006/jsvi.1996.0157
    • C. Wang, and J. Kim New analysis method for a thin beam impacting against a stop based on the full continuous model Journal of Sound and Vibration 191 1996 809 823 (Pubitemid 126368459)
    • (1996) Journal of Sound and Vibration , vol.191 , Issue.5 , pp. 809-823
    • Wang, C.1    Kim, J.2
  • 8
    • 0026626213 scopus 로고
    • Cross-flow-induced chaotic vibrations of heat-exchanger tubes impacting on loose supports
    • M.P. Païdoussis, and G.X. Li Cross-flow-induced chaotic vibrations of heat-exchanger tubes impacting on loose supports Journal of Sound and Vibration 152 1992 305 326
    • (1992) Journal of Sound and Vibration , vol.152 , pp. 305-326
    • Païdoussis, M.P.1    Li, G.X.2
  • 9
    • 34547916494 scopus 로고    scopus 로고
    • Dynamical behaviors of a fluid-conveying curved pipe subjected to motion constraints and harmonic excitation
    • DOI 10.1016/j.jsv.2007.06.046, PII S0022460X07004580
    • W. Lin, N. Qiao, and H. Yuying Dynamical behaviors of a fluid-conveying curved pipe subjected to motion constraints and harmonic excitations Journal of Sound and Vibration 306 2007 955 967 (Pubitemid 47259119)
    • (2007) Journal of Sound and Vibration , vol.306 , Issue.3-5 , pp. 955-967
    • Lin, W.1    Qiao, N.2    Yuying, H.3
  • 10
    • 0029638702 scopus 로고
    • Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity
    • G.W. Blankenship, and A. Kahraman Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity Journal of Sound and Vibration 185 1995 743 765
    • (1995) Journal of Sound and Vibration , vol.185 , pp. 743-765
    • Blankenship, G.W.1    Kahraman, A.2
  • 11
    • 0027666592 scopus 로고
    • Period-infinity periodic motions, chaos and spatial coherence in a 10 degree of freedom impact oscillator
    • J.P. Cusumano, and B.-Y. Bai Period-infinity periodic motions, chaos and spatial coherence in a 10 degree of freedom impact oscillator Chaos, Solitons and Fractals 3 1993 515 536
    • (1993) Chaos, Solitons and Fractals , vol.3 , pp. 515-536
    • Cusumano, J.P.1    Bai, B.-Y.2
  • 12
    • 0034563693 scopus 로고    scopus 로고
    • Nonlinear dynamics of parts in engineering systems
    • J. Jerrelind, and A. Stensson Nonlinear dynamics of parts in engineering systems Chaos, Solitons and Fractals 11 2000 2413 2428
    • (2000) Chaos, Solitons and Fractals , vol.11 , pp. 2413-2428
    • Jerrelind, J.1    Stensson, A.2
  • 13
    • 0037015774 scopus 로고    scopus 로고
    • Application of non-smooth modelling techniques to the dynamics of a flexible impacting beam
    • DOI 10.1006/jsvi.2002.5020
    • D.J. Wagg, and S.R. Bishop Application of non-smooth modeling techniques to the dynamics of a flexible impacting beam Journal of Sound and Vibration 256 2002 803 820 (Pubitemid 35466594)
    • (2002) Journal of Sound and Vibration , vol.256 , Issue.5 , pp. 803-820
    • Wagg, D.J.1    Bishop, S.R.2
  • 15
    • 0021097823 scopus 로고
    • A periodically forced piecewise linear oscillator
    • DOI 10.1016/0022-460X(83)90407-8
    • S.W. Shaw, and P.J. Holmes A periodically forced piecewise linear oscillator Journal of Sound and Vibration 90 1983 129 155 (Pubitemid 14455664)
    • (1983) Journal of Sound and Vibration , vol.90 , Issue.1 , pp. 129-155
    • Shaw, S.W.1    Holmes, P.J.2
  • 16
    • 0030193851 scopus 로고    scopus 로고
    • Natural frequency considerations of an impact oscillator
    • DOI 10.1006/jsvi.1996.0370
    • M.D. Todd, and L.N. Virgin Natural frequency considerations of an impact oscillator Journal of Sound and Vibration 194 1996 452 460 (Pubitemid 126370836)
    • (1996) Journal of Sound and Vibration , vol.194 , Issue.3 , pp. 452-460
    • Todd, M.D.1    Virgin, L.N.2
  • 17
    • 0028516064 scopus 로고
    • Bifurcations in impact oscillations
    • S. Foale, and S.R. Bishop Bifurcations in impact oscillations Nonlinear Dynamics 6 1994 285 299
    • (1994) Nonlinear Dynamics , vol.6 , pp. 285-299
    • Foale, S.1    Bishop, S.R.2
  • 18
    • 6444232351 scopus 로고    scopus 로고
    • Impact oscillations and wear of loosely supported rod subject to harmonic load
    • J. Knudsen, and A.R. Massih Impact oscillations and wear of loosely supported rod subject to harmonic load Journal of Sound and Vibration 278 2004 1025 1050
    • (2004) Journal of Sound and Vibration , vol.278 , pp. 1025-1050
    • Knudsen, J.1    Massih, A.R.2
  • 19
    • 0037046694 scopus 로고    scopus 로고
    • Dynamic response of a constrained axially loaded beam
    • DOI 10.1006/jsvi.2001.3802
    • I. Svensson Dynamic response of a constrained axially loaded beam Journal of Sound and Vibration 252 2002 739 749 (Pubitemid 35220925)
    • (2002) Journal of Sound and Vibration , vol.252 , Issue.4 , pp. 739-749
    • Svensson, I.1
  • 20
    • 0036554844 scopus 로고    scopus 로고
    • Dynamics of a flexible beam contacting a linear spring at low frequency excitation: Experiment and analysis
    • K.J.L. Fegelman, and K. Grosh Dynamics of a flexible beam contacting a linear spring at low frequency excitation: experiment and analysis ASME Journal of Vibration and Acoustics 124 2004 237 249 (Pubitemid 35202689)
    • (2002) Journal of Vibration and Acoustics, Transactions of the ASME , vol.124 , Issue.2 , pp. 237-249
    • Fegelman, K.J.L.1    Grosh, K.2
  • 22
    • 34548225132 scopus 로고    scopus 로고
    • Repetitive impact response of a beam structure subjected to harmonic base excitation
    • DOI 10.1016/j.jsv.2007.06.038, PII S0022460X07005081
    • E.K. Ervin, and J.A. Wickert Repetitive impact response of a beam structure subjected to harmonic base excitation Journal of Sound and Vibration 307 2007 2 19 (Pubitemid 47332504)
    • (2007) Journal of Sound and Vibration , vol.307 , Issue.1-2 , pp. 2-19
    • Ervin, E.K.1    Wickert, J.A.2
  • 23
    • 0022079142 scopus 로고
    • The dynamics of a harmonically excited system having rigid amplitude constraints part 1: Subharmonic motions and local bifurcations
    • S.W. Shaw The dynamics of a harmonically excited system having rigid amplitude constraints part 1: subharmonic motions and local bifurcations ASME Journal of Applied Mechanics 52 1985 453 458 (Pubitemid 16568089)
    • (1985) Journal of Applied Mechanics, Transactions ASME , vol.52 , Issue.2 , pp. 453-458
    • Shaw, S.W.1
  • 24
    • 0022078269 scopus 로고
    • The dynamics of a harmonically excited system having rigid amplitude constraints part 2: Chaotic motions and global bifurcations
    • S.W. Shaw The dynamics of a harmonically excited system having rigid amplitude constraints part 2: chaotic motions and global bifurcations ASME Journal of Applied Mechanics 52 1985 459 464 (Pubitemid 16568090)
    • (1985) Journal of Applied Mechanics, Transactions ASME , vol.52 , Issue.2 , pp. 459-464
    • Shaw, S.W.1
  • 25
    • 0034559499 scopus 로고    scopus 로고
    • Modelling of dynamical systems with motion dependent discontinuities
    • M. Wiercigroch Modelling of dynamical systems with motion dependent discontinuities Chaos, Solitons and Fractals 11 2000 2429 2442
    • (2000) Chaos, Solitons and Fractals , vol.11 , pp. 2429-2442
    • Wiercigroch, M.1
  • 26
    • 3042517492 scopus 로고    scopus 로고
    • Dynamics on an oblique-impact vibrating system of two degrees of freedom
    • W. Han, D.P. Jin, and H.Y. Hu Dynamics on an oblique-impact vibrating system of two degrees of freedom Journal of Sound and Vibration 275 2004 795 822
    • (2004) Journal of Sound and Vibration , vol.275 , pp. 795-822
    • Han, W.1    Jin, D.P.2    Hu, H.Y.3
  • 27
    • 0031247121 scopus 로고    scopus 로고
    • Primary resonance of a harmonically forced oscillator with a pair of symmetric set-up elastic stops
    • H.Y. Hu Primary resonance of a harmonically forced oscillator with a pair of symmetric set-up elastic stops Journal of Sound and Vibration 207 1997 393 401 (Pubitemid 127397813)
    • (1997) Journal of Sound and Vibration , vol.207 , Issue.3 , pp. 393-401
    • Hu, H.Y.1
  • 30
    • 0030190225 scopus 로고    scopus 로고
    • Interactions between commensurate parametric and forcing excitations in a system with clearance
    • DOI 10.1006/jsvi.1996.0361
    • A. Kahraman, and G.W. Blankenship Interactions between commensurate parametric and forcing excitations in a system with clearance Journal of Sound and Vibration 194 1996 317 336 (Pubitemid 126370827)
    • (1996) Journal of Sound and Vibration , vol.194 , Issue.3 , pp. 317-336
    • Kahraman, A.1    Blankenship, G.W.2
  • 31
    • 0023648094 scopus 로고
    • The vibro-impact response of a harmonically excited and preloaded one-dimensional linear oscillator
    • DOI 10.1016/0022-460X(87)90474-3
    • G.S. Whiston The vibro-impact response of a harmonically excited and preloaded one-dimensional linear oscillator Journal of Sound and Vibration 115 1987 303 319 (Pubitemid 17623464)
    • (1987) Journal of Sound and Vibration , vol.115 , Issue.2 , pp. 303-319
    • Whiston, G.S.1
  • 34
    • 78649533676 scopus 로고    scopus 로고
    • Nonlinear model reduction of von Karman plates under quasi-steady fluid flow
    • M.R. Brake, and D.J. Segalman Nonlinear model reduction of von Karman plates under quasi-steady fluid flow AIAA Journal 48 2010 2339 2347
    • (2010) AIAA Journal , vol.48 , pp. 2339-2347
    • Brake, M.R.1    Segalman, D.J.2
  • 36
    • 0018785165 scopus 로고
    • Response of slightly damped gyroscopic systems
    • DOI 10.1016/0022-460X(79)90497-8
    • L. Meirovitch, and I.G. Ryland Response of slightly damped gyroscopic systems Journal of Sound and Vibration 67 1979 1 19 (Pubitemid 10458360)
    • (1979) Journal of Sound and Vibration , vol.67 , Issue.1 , pp. 1-19
    • Meirovitch, L.1    Ryland, I.G.2
  • 37
    • 17444405308 scopus 로고    scopus 로고
    • A reduced order cyclic method for computation of limit cycles
    • DOI 10.1007/s11071-005-1921-1
    • P.S. Beran, and D.J. Lucia A reduced order cyclic method for computation of limit cycles Nonlinear Dynamics 39 2005 143 158 (Pubitemid 40536364)
    • (2005) Nonlinear Dynamics , vol.39 , Issue.1-2 , pp. 143-158
    • Beran, P.S.1    Lucia, D.J.2
  • 38
    • 0001366070 scopus 로고    scopus 로고
    • An asymptotic-numerical method for large-amplitude free vibrations of thin elastic plates
    • L. Azrar, R. Benamar, and M. Potier-Ferry An asymptotic-numerical method for large-amplitude free vibrations of thin elastic plates Journal of Sound and Vibration 220 1999 695 727 (Pubitemid 129550498)
    • (1999) Journal of Sound and Vibration , vol.220 , Issue.4 , pp. 695-727
    • Azrar, L.1    Benamar, R.2    Potier-Ferry, M.3
  • 39
    • 0034559501 scopus 로고    scopus 로고
    • Estimation of the largest Lyapunov exponent in systems with impacts
    • A. Stefanski Estimation of the largest Lyapunov exponent in systems with impacts Chaos, Solitons and Fractals 11 2000 2443 2451
    • (2000) Chaos, Solitons and Fractals , vol.11 , pp. 2443-2451
    • Stefanski, A.1
  • 40
    • 0041629308 scopus 로고    scopus 로고
    • Calculation of Lyapunov exponents in systems with impacts
    • S.L.T. de Souza, and I.L. Caldas Calculation of Lyapunov exponents in systems with impacts Chaos, Solitons and Fractals 19 2004 569 579
    • (2004) Chaos, Solitons and Fractals , vol.19 , pp. 569-579
    • De Souza, S.L.T.1    Caldas, I.L.2
  • 41
    • 28244461621 scopus 로고    scopus 로고
    • Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
    • DOI 10.1016/j.physd.2005.10.007, PII S0167278905004446
    • S.C. Shadden, F. Lekien, and J.E. Marsden Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows Physica D 212 2005 271 304 (Pubitemid 41705715)
    • (2005) Physica D: Nonlinear Phenomena , vol.212 , Issue.3-4 , pp. 271-304
    • Shadden, S.C.1    Lekien, F.2    Marsden, J.E.3
  • 42
    • 0032109073 scopus 로고    scopus 로고
    • Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope
    • J.E. Sader Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope Journal of Applied Physics 84 1998 64 76 (Pubitemid 128559380)
    • (1998) Journal of Applied Physics , vol.84 , Issue.1 , pp. 64-76
    • Sader, J.E.1
  • 43
    • 33750006796 scopus 로고    scopus 로고
    • Vibration study of the piezodriven pipettes immersed in viscous liquids
    • M. Fan, Z.C. Feng, Y. Agca, and J.K. Critser Vibration study of the piezodriven pipettes immersed in viscous liquids Journal of Applied Physics 100 2006 074701
    • (2006) Journal of Applied Physics , vol.100 , pp. 074701
    • Fan, M.1    Feng, Z.C.2    Agca, Y.3    Critser, J.K.4
  • 44
    • 33846043448 scopus 로고    scopus 로고
    • Small amplitude oscillations of a flexible thin blade in a viscous fluid: Exact analytical solution
    • C.A.V. Eysden, and J.E. Sader Small amplitude oscillations of a flexible thin blade in a viscous fluid: exact analytical solution Physics of Fluids 18 2006 123102
    • (2006) Physics of Fluids , vol.18 , pp. 123102
    • Eysden, C.A.V.1    Sader, J.E.2
  • 45
    • 0011991339 scopus 로고
    • Calculation of unsteady flows due to small motions of cylinders in a viscous fluid
    • E.O. Tuck Calculation of unsteady flows due to small motions of cylinders in a viscous fluid Journal of Engineering Mathematics 3 1969 29 44
    • (1969) Journal of Engineering Mathematics , vol.3 , pp. 29-44
    • Tuck, E.O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.