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Volumn 33, Issue 1, 2003, Pages 43-70

Nonlinear Parametric Vibrations of an Elastic Structure with a Rectangular Liquid Tank

Author keywords

Amplitude modulated motion; Autoparametric resonance; Chaotic oscillation; Nonlinear vibration; Rectangular tank; Sloshing; Vertical sinusoidal excitation; Vibration coupled with Fluid motion

Indexed keywords

CHAOS THEORY; OSCILLATIONS; PARAMETER ESTIMATION; RESONANCE; VIBRATIONS (MECHANICAL);

EID: 0141924281     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025569028213     Document Type: Article
Times cited : (48)

References (37)
  • 1
    • 0013193910 scopus 로고
    • On the vibration of an elevated water-tank - I
    • Senda, K. and Nakagawa, K., 'On the vibration of an elevated water-tank - I', Technical Reports of Osaka University 4(117), 1954, 247-264.
    • (1954) Technical Reports of Osaka University , vol.4 , Issue.117 , pp. 247-264
    • Senda, K.1    Nakagawa, K.2
  • 4
    • 0040137721 scopus 로고
    • Oscillation control system exploiting fluid force generated by water sloshing
    • [in Japanese]
    • Hagiuda, H., 'Oscillation control system exploiting fluid force generated by water sloshing', Mitsui Zosen Technical Review 137, 1988, 13-20 [in Japanese].
    • (1988) Mitsui Zosen Technical Review , vol.137 , pp. 13-20
    • Hagiuda, H.1
  • 5
    • 0344951675 scopus 로고
    • Suppression of tower-Like structures vibration by damping effect of sloshing water contained
    • [in Japanese]
    • Miyata, T., Yamada, H., and Saitoh, Y., 'Suppression of tower-Like structures vibration by damping effect of sloshing water contained', Transactions of the Japan Society of Civil Engineers 35A, 1989, 553-560 [in Japanese].
    • (1989) Transactions of the Japan Society of Civil Engineers , vol.35 A , pp. 553-560
    • Miyata, T.1    Yamada, H.2    Saitoh, Y.3
  • 8
    • 85007707339 scopus 로고
    • Liquid surface oscillations in longitudinally excited rigid cylindrical containers
    • Dodge, F. T., Kana, D. D., and Abramson, H. N., 'Liquid surface oscillations in longitudinally excited rigid cylindrical containers', AIAA Journal 3(4), 1965, 685-695.
    • (1965) AIAA Journal , vol.3 , Issue.4 , pp. 685-695
    • Dodge, F.T.1    Kana, D.D.2    Abramson, H.N.3
  • 9
    • 0028530407 scopus 로고
    • Effects of higher order radial modes upon nonlinear sloshing in a circular cylindrical tank subjected to vertical excitation
    • C, [in Japanese]
    • Kimura, K., Takahara, H., and Sakata, M., 'Effects of higher order radial modes upon nonlinear sloshing in a circular cylindrical tank subjected to vertical excitation', Transactions of the Japan Society of Mechanical Engineers 60(578), C, 1994, 3259-3267 [in Japanese].
    • (1994) Transactions of the Japan Society of Mechanical Engineers , vol.60 , Issue.578 , pp. 3259-3267
    • Kimura, K.1    Takahara, H.2    Sakata, M.3
  • 10
    • 85007710247 scopus 로고
    • Behaviours of liquid free surface in a cylindrical container subjected to vertical vibration
    • B, [in Japanese]
    • Hashimoto, H. and Sudo, S., 'Behaviours of liquid free surface in a cylindrical container subjected to vertical vibration', Transactions of the Japan Society of Mechanical Engineers 49(445), B, 1983, 1841-1849 [in Japanese].
    • (1983) Transactions of the Japan Society of Mechanical Engineers , vol.49 , Issue.445 , pp. 1841-1849
    • Hashimoto, H.1    Sudo, S.2
  • 11
    • 0023386489 scopus 로고
    • Unsteady pressure response of a liquid in a cylindrical container subjected to vertical vibration
    • B, [in Japanese]
    • Sudo, H. and Hashimoto, H., 'Unsteady pressure response of a liquid in a cylindrical container subjected to vertical vibration', Transactions of the Japan Society of Mechanical Engineers 53(491), B, 1987, 2047-2053 [in Japanese].
    • (1987) Transactions of the Japan Society of Mechanical Engineers , vol.53 , Issue.491 , pp. 2047-2053
    • Sudo, H.1    Hashimoto, H.2
  • 12
    • 0016557752 scopus 로고
    • Autoparametric resonance in a structure containing a liquid, Part I: Two mode interaction
    • Ibrahim, R. A. and Barr, A. D. S., 'Autoparametric resonance in a structure containing a liquid, Part I: Two mode interaction', Journal of Sound and Vibration 42(2), 1975, 159-179.
    • (1975) Journal of Sound and Vibration , vol.42 , Issue.2 , pp. 159-179
    • Ibrahim, R.A.1    Barr, A.D.S.2
  • 13
    • 0016557072 scopus 로고
    • Autoparametric resonance in a structure containing a liquid, Part II: Three mode interaction
    • Ibrahim, R. A. and Barr, A. D. S., 'Autoparametric resonance in a structure containing a liquid, Part II: Three mode interaction', Journal of Sound and Vibration 42(2), 1975, 181-200.
    • (1975) Journal of Sound and Vibration , vol.42 , Issue.2 , pp. 181-200
    • Ibrahim, R.A.1    Barr, A.D.S.2
  • 14
    • 0016985775 scopus 로고
    • Multiple internal resonance in a structure-liquid system
    • Ibrahim, R. A., 'Multiple internal resonance in a structure-liquid system', ASME Journal of Engineering for Industry 98, 1976 1092-1098.
    • (1976) ASME Journal of Engineering for Industry , vol.98 , pp. 1092-1098
    • Ibrahim, R.A.1
  • 15
    • 0023983546 scopus 로고
    • Parametric and autoparametric vibrations of an elevated water tower, Part I: Non-linear parametric response
    • Ibrahim, R. A., Gau, J.-S., and Soundararajan, A., 'Parametric and autoparametric vibrations of an elevated water tower, Part I: Non-linear parametric response', Journal of Sound and Vibration 121(3), 1988, 413-428.
    • (1988) Journal of Sound and Vibration , vol.121 , Issue.3 , pp. 413-428
    • Ibrahim, R.A.1    Gau, J.-S.2    Soundararajan, A.3
  • 16
    • 0023979431 scopus 로고
    • Parametric and autoparametric vibrations of an elevated water tower, Part II: Autoparametric response
    • Ibrahim, R. A. and Li, W., 'Parametric and autoparametric vibrations of an elevated water tower, Part II: Autoparametric response', Journal of Sound and Vibration 121(3), 1988, 429-444.
    • (1988) Journal of Sound and Vibration , vol.121 , Issue.3 , pp. 429-444
    • Ibrahim, R.A.1    Li, W.2
  • 18
    • 0013303154 scopus 로고
    • Non-linear vibrations in an elastic structure subjected to vertical excitation and coupled with liquid sloshing in a rectangular tank
    • Sacramento, CA, ASME, New York, DETC97/VTB-4097
    • Ikeda, T., 'Non-linear vibrations in an elastic structure subjected to vertical excitation and coupled with liquid sloshing in a rectangular tank', in Proceedings of the 1997 ASME Design Engineering Technical Conferences, Sacramento, CA, ASME, New York, 1977, DETC97/VTB-4097.
    • (1977) Proceedings of the 1997 ASME Design Engineering Technical Conferences
    • Ikeda, T.1
  • 19
    • 0031102328 scopus 로고    scopus 로고
    • Non-linear vibrations of a structure caused by water sloshing in a rectangular tank
    • Ikeda, T. and Nakagawa, N., 'Non-linear vibrations of a structure caused by water sloshing in a rectangular tank', Journal of Sound and Vibration 201(1), 1997, 23-41.
    • (1997) Journal of Sound and Vibration , vol.201 , Issue.1 , pp. 23-41
    • Ikeda, T.1    Nakagawa, N.2
  • 20
    • 0021757771 scopus 로고
    • Non-stationary response of non-linear liquid motion in a cylindrical tank subjected to random base excitation
    • Sakata, M., Kimura, K., and Utsumi, M., 'Non-stationary response of non-linear liquid motion in a cylindrical tank subjected to random base excitation', Journal of Sound and Vibration 94(3), 1984, 351-363.
    • (1984) Journal of Sound and Vibration , vol.94 , Issue.3 , pp. 351-363
    • Sakata, M.1    Kimura, K.2    Utsumi, M.3
  • 21
    • 0020810423 scopus 로고
    • Nonlinear response of sloshing in rectangular tanks (1st Report, Nonlinear response of surface elevation)
    • Hayama, S., Aruga, K., and Watanabe, T., 'Nonlinear response of sloshing in rectangular tanks (1st Report, Nonlinear response of surface elevation)', Bulletin of JSME 26(219), 1983, 1641-1648.
    • (1983) Bulletin of JSME , vol.26 , Issue.219 , pp. 1641-1648
    • Hayama, S.1    Aruga, K.2    Watanabe, T.3
  • 22
    • 0003555632 scopus 로고
    • Robert E. Krieger, New York
    • Minorsky, N., Nonlinear Oscillations, Robert E. Krieger, New York, 1974, pp. 506-509.
    • (1974) Nonlinear Oscillations , pp. 506-509
    • Minorsky, N.1
  • 25
    • 0015672134 scopus 로고
    • Nonlinear coupling of pitch and roll modes in ship motions
    • Nayfeh, A. H., Mook, D. T., and Marshall, L. R., 'Nonlinear coupling of pitch and roll modes in ship motions', Journal of Hydronautics 7(4), 1973, 145-152.
    • (1973) Journal of Hydronautics , vol.7 , Issue.4 , pp. 145-152
    • Nayfeh, A.H.1    Mook, D.T.2    Marshall, L.R.3
  • 26
    • 0015968253 scopus 로고
    • Subharmonic and superharmonic resonances in the pitch and roll modes of ship motions
    • Mook, D. T., Marshall, L. R., and Nayfeh, A. H., 'Subharmonic and superharmonic resonances in the pitch and roll modes of ship motions', Journal of Hydronautics 8(1), 1974, 32-40.
    • (1974) Journal of Hydronautics , vol.8 , Issue.1 , pp. 32-40
    • Mook, D.T.1    Marshall, L.R.2    Nayfeh, A.H.3
  • 27
    • 0024029836 scopus 로고
    • On the undesirable roll characteristics of ships in regular seas
    • Nayfeh, A. H., 'On the undesirable roll characteristics of ships in regular seas', Journal of Ship Research 32(2), 1988, 92-100.
    • (1988) Journal of Ship Research , vol.32 , Issue.2 , pp. 92-100
    • Nayfeh, A.H.1
  • 28
    • 0020102618 scopus 로고
    • Non-linear vibrations of a harmonically excited autoparametric system
    • Hatwal, H., Mallik, A. K., and Ghosh, A., 'Non-linear vibrations of a harmonically excited autoparametric system', Journal of Sound and Vibration 81(2), 1982, 153-164.
    • (1982) Journal of Sound and Vibration , vol.81 , Issue.2 , pp. 153-164
    • Hatwal, H.1    Mallik, A.K.2    Ghosh, A.3
  • 29
    • 0020816036 scopus 로고
    • Forced nonlinear oscillations of an autoparametric system Part 1: Periodic responses
    • Hatwal, H., Mallik, A. K., and Ghosh, A., 'Forced nonlinear oscillations of an autoparametric system Part 1: Periodic responses', ASME Journal of Applied Mechanics 50, 1983, 657-662.
    • (1983) ASME Journal of Applied Mechanics , vol.50 , pp. 657-662
    • Hatwal, H.1    Mallik, A.K.2    Ghosh, A.3
  • 30
    • 0040328137 scopus 로고
    • Forced nonlinear oscillations of an autoparametric system Part 2: Chaotic responses
    • Hatwal, H., Mallik, A. K., and Ghosh, A., 'Forced nonlinear oscillations of an autoparametric system Part 2: Chaotic responses', ASME Journal of Applied Mechanics 50, 1983, 663-668.
    • (1983) ASME Journal of Applied Mechanics , vol.50 , pp. 663-668
    • Hatwal, H.1    Mallik, A.K.2    Ghosh, A.3
  • 31
    • 0028447232 scopus 로고
    • Amplitude modulated dynamics of a resonantly excited autoparametric two degree-of-freedom system
    • Bajaj, A. K., Chang, S. I., and Johnson, J. M., 'Amplitude modulated dynamics of a resonantly excited autoparametric two degree-of-freedom system', Nonlinear Dynamics 5(4), 1994, 433-457.
    • (1994) Nonlinear Dynamics , vol.5 , Issue.4 , pp. 433-457
    • Bajaj, A.K.1    Chang, S.I.2    Johnson, J.M.3
  • 32
    • 0029771725 scopus 로고    scopus 로고
    • Resonant dynamics of an autoparametric system: A study using higher-order averaging
    • Banerjee, B., Bajaj, A. K., and Davies, P., 'Resonant dynamics of an autoparametric system: A study using higher-order averaging', International Journal of Non-Linear Mechanics 31(1), 1996, 21-39.
    • (1996) International Journal of Non-Linear Mechanics , vol.31 , Issue.1 , pp. 21-39
    • Banerjee, B.1    Bajaj, A.K.2    Davies, P.3
  • 33
    • 0002950797 scopus 로고
    • Observations of modal interactions in resonantly forced beam-mass structure
    • Balachandran, B. and Nayfeh, A. H., 'Observations of modal interactions in resonantly forced beam-mass structure', Nonlinear Dynamics 2(2), 1991, 77-117.
    • (1991) Nonlinear Dynamics , vol.2 , Issue.2 , pp. 77-117
    • Balachandran, B.1    Nayfeh, A.H.2
  • 34
    • 0017456454 scopus 로고
    • On the internal resonance in a nonlinear two-degree-of-freedom system (forced vibrations near the lower resonance point when the natural frequencies are in the ratio 1:2)
    • Yamamoto, T. and Yasuda, K., 'On the internal resonance in a nonlinear two-degree-of-freedom system (forced vibrations near the lower resonance point when the natural frequencies are in the ratio 1:2)', Bulletin of the JSME 20(140), 1977, 168-175.
    • (1977) Bulletin of the JSME , vol.20 , Issue.140 , pp. 168-175
    • Yamamoto, T.1    Yasuda, K.2
  • 35
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • Wolf, A., Swift, J. B., Swinney, H. L., and Vastano, J. A., 'Determining Lyapunov exponents from a time series', Physica 16D, 1985, 285-317.
    • (1985) Physica , vol.16 D , pp. 285-317
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4
  • 36
    • 0003487030 scopus 로고    scopus 로고
    • AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont)
    • Concordia University, Canada
    • Doedel, E. J., Champneys, A. R., Fairgrieve, T. F., Kuznetsov, Y. A., Sandstede, B., and Wang, X., 'AUTO97: Continuation and bifurcation software for ordinary differential equations (with HomCont)', 1997, Concordia University, Canada.
    • (1997)
    • Doedel, E.J.1    Champneys, A.R.2    Fairgrieve, T.F.3    Kuznetsov, Y.A.4    Sandstede, B.5    Wang, X.6
  • 37
    • 84958429212 scopus 로고
    • Damping of surface waves in an incompressible liquid
    • Case, K. M. and Parkinson, W. C., 'Damping of surface waves in an incompressible liquid', Journal of Fluid Mechanics 2, 1957, 172-184.
    • (1957) Journal of Fluid Mechanics , vol.2 , pp. 172-184
    • Case, K.M.1    Parkinson, W.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.