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Volumn 124, Issue 1, 2002, Pages 126-131

Multiple stability and unpredictable outcomes in the chaotic vibrations of euler beams

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; BIFURCATION (MATHEMATICS); CHAOS THEORY; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; RESONANT CIRCUITS; RUNGE KUTTA METHODS;

EID: 0036398617     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.1426072     Document Type: Article
Times cited : (6)

References (19)
  • 1
    • 85015180140 scopus 로고
    • Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation
    • Tseng, W. Y., and Dugundji, J., 1971, “Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation,” ASME J. Appl. Mech., 38, pp. 467-476.
    • (1971) ASME J. Appl. Mech. , vol.38 , pp. 467-476
    • Tseng, W.Y.1    Dugundji, J.2
  • 2
    • 0000069184 scopus 로고
    • A Nonlinear Oscillator With a Strange Attractor
    • Holmes, P., 1979, “A Nonlinear Oscillator With a Strange Attractor,” Philos. Trans. R. Soc. London, Ser. A, 292, pp. 419-448.
    • (1979) Philos. Trans. R. Soc. London, Ser. A , vol.292 , pp. 419-448
    • Holmes, P.1
  • 3
    • 0019666924 scopus 로고
    • A Partial Differential Equation With Infinitely Many Periodic Orbits: Chaotic Oscillations of a Forced Beam
    • Holmes, P, and Marsden, J., 1981, “A Partial Differential Equation With Infinitely Many Periodic Orbits: Chaotic Oscillations of a Forced Beam,” Arch. Ration. Mech. Anal., 76, pp. 135-166.
    • (1981) Arch. Ration. Mech. Anal. , vol.76 , pp. 135-166
    • Holmes, P.1    Marsden, J.2
  • 4
    • 33746672747 scopus 로고
    • Randomly Transitionally Phenomena in the System Governed by Duffing’s Equation
    • Ueda, Y., 1979, “Randomly Transitionally Phenomena in the System Governed by Duffing’s Equation,” J. Stat. Phys., 20, pp. 181-195.
    • (1979) J. Stat. Phys. , vol.20 , pp. 181-195
    • Ueda, Y.1
  • 5
    • 0022131807 scopus 로고
    • Counterintuitive Behavior in a Problem of Elastic-Plastic Beam Dynamics
    • Symonds, P S., and Yu, T X., 1985, “Counterintuitive Behavior in a Problem of Elastic-Plastic Beam Dynamics,” ASME J. Appl. Mech., 52, pp. 517-522.
    • (1985) ASME J. Appl. Mech. , vol.52 , pp. 517-522
    • Symonds, P.S.1    Yu, T.X.2
  • 6
    • 0029639491 scopus 로고
    • A Simplectic Galerkin Method for Nonlinear Vibration of Beams and Plates
    • Leung, A. Y. T., and Mao, S. G., 1995, “A Simplectic Galerkin Method for Nonlinear Vibration of Beams and Plates,” J. Sound Vib., 183, pp. 475-491.
    • (1995) J. Sound Vib. , vol.183 , pp. 475-491
    • Leung, A.Y.T.1    Mao, S.G.2
  • 7
    • 0029273421 scopus 로고
    • Simplectic Integration of an Accurate Beam Finite Element in Nonlinear Vibration
    • Leung, A. Y. T., and Mao, S. G., 1995, “Simplectic Integration of an Accurate Beam Finite Element in Nonlinear Vibration,” Comput. Struct., 54, pp. 1135-1147.
    • (1995) Comput. Struct. , vol.54 , pp. 1135-1147
    • Leung, A.Y.T.1    Mao, S.G.2
  • 8
    • 0028426430 scopus 로고
    • Bifurcations, Catastrophes and Chaos in a Pre-buckled Beam
    • Ramu, S. A., Sankar, T. S., and Ganesan, R., 1994, “Bifurcations, Catastrophes and Chaos in a Pre-buckled Beam,” Int. J. Non-Linear Mech., 29, pp. 449-462.
    • (1994) Int. J. Non-Linear Mech. , vol.29 , pp. 449-462
    • Ramu, S.A.1    Sankar, T.S.2    Ganesan, R.3
  • 9
    • 0027698821 scopus 로고
    • Finite Element Simulation of Chaotic Vibrations of a Beam With Nonlinear Boundary Conditions
    • Moorthy, R. I. K., Kakodkar, A., Srirangarajan, H. R., and Suryanarayan, S., 1993, “Finite Element Simulation of Chaotic Vibrations of a Beam With Nonlinear Boundary Conditions,” Comput. Struct., 49, pp. 589-596.
    • (1993) Comput. Struct. , vol.49 , pp. 589-596
    • Moorthy, R.I.K.1    Kakodkar, A.2    Srirangarajan, H.R.3    Suryanarayan, S.4
  • 10
    • 0028387724 scopus 로고
    • Mathematical Models Used in Studying the Chaotic Vibration of Buckled Beams
    • Baran, D. D., 1994, “Mathematical Models Used in Studying the Chaotic Vibration of Buckled Beams,” Mech. Res. Commun., 21, pp. 189-196.
    • (1994) Mech. Res. Commun. , vol.21 , pp. 189-196
    • Baran, D.D.1
  • 12
    • 0000692432 scopus 로고
    • Indeterminate Sub-critical Bifurcations in Parametric Resonance
    • Soliman, M. S., and Thompson, J. M. T., 1992, “Indeterminate Sub-critical Bifurcations in Parametric Resonance,” Proc. R. Soc. London, Ser. A, 438, pp. 511-518.
    • (1992) Proc. R. Soc. London, Ser. A , vol.438 , pp. 511-518
    • Soliman, M.S.1    Thompson, J.M.T.2
  • 13
    • 33746732365 scopus 로고    scopus 로고
    • Indeterminate Bifurcational Phenomena in Hardening Systems
    • Soliman, M. S., and Thompson, J. M. T., 1996, “Indeterminate Bifurcational Phenomena in Hardening Systems,” Proc. R. Soc. London, Ser. A, 452, pp. 487-494.
    • (1996) Proc. R. Soc. London, Ser. A , vol.452 , pp. 487-494
    • Soliman, M.S.1    Thompson, J.M.T.2
  • 14
    • 0027662954 scopus 로고
    • Jumps to Resonance: Long Chaotic Transients, Unpredictable Outcome, and the Probability of Restabilization
    • Soliman, M. S., 1993, “Jumps to Resonance: Long Chaotic Transients, Unpredictable Outcome, and the Probability of Restabilization,” ASME J. Appl. Mech., 60, pp. 669-676.
    • (1993) ASME J. Appl. Mech. , vol.60 , pp. 669-676
    • Soliman, M.S.1
  • 15
    • 0041535046 scopus 로고
    • Catastrophes With Indeterminate Outcome
    • Stewart, H. B., and Ueda, Y., 1991, “Catastrophes With Indeterminate Outcome,” Proc. R. Soc. London, Ser. A, 432, pp. 113-123.
    • (1991) Proc. R. Soc. London, Ser. A , vol.432 , pp. 113-123
    • Stewart, H.B.1    Ueda, Y.2
  • 16
    • 0000974341 scopus 로고
    • Basin Explosions and Escape Phenomena in the Twin-Well Duffing Oscillator-Compound Global Bifurcations Organizing Behavior
    • Ueda, Y., Yoshida, S., Stewart, H. B., and Thompson, J. M. T, 1990, “Basin Explosions and Escape Phenomena in the Twin-Well Duffing Oscillator-Compound Global Bifurcations Organizing Behavior,” Philos. Trans. R. Soc. London, Ser. A, 332, pp. 169-186.
    • (1990) Philos. Trans. R. Soc. London, Ser. A , vol.332 , pp. 169-186
    • Ueda, Y.1    Yoshida, S.2    Stewart, H.B.3    Thompson, J.4
  • 17
    • 0024680886 scopus 로고
    • An Energy Approach to Anomalous Damped Elastic-Plastic Response to Short Pulse Loading
    • Borino, G., Perego, U., and Symonds, P S., 1989, “An Energy Approach to Anomalous Damped Elastic-Plastic Response to Short Pulse Loading,” ASME J. Appl. Mech., 56, pp. 430-438.
    • (1989) ASME J. Appl. Mech. , vol.56 , pp. 430-438
    • Borino, G.1    Perego, U.2    Symonds, P.S.3
  • 18
    • 0024777022 scopus 로고
    • The Role of Damping in Anomalous Response to Short Pulse Loading
    • Perego, U., Borino, G., and Symonds, P S., 1989, “The Role of Damping in Anomalous Response to Short Pulse Loading,” J. Eng. Mech., 115, pp. 2782-2788.
    • (1989) J. Eng. Mech , vol.115 , pp. 2782-2788
    • Perego, U.1    Borino, G.2    Symonds, P.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.