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Volumn 26, Issue 5, 2005, Pages 403-409

Nonlinear vibrations and chaos in gongs and cymbals

Author keywords

Bifurcations; Chaos; Combination of modes; Gongs and cymbals; Nonlinear vibrations

Indexed keywords

COMBINATION OF MODES; GONGS AND CYMBALS; NONLINEAR VIBRATIONS;

EID: 25144494647     PISSN: 13463969     EISSN: 13475177     Source Type: Journal    
DOI: 10.1250/ast.26.403     Document Type: Review
Times cited : (46)

References (18)
  • 2
    • 0000754652 scopus 로고    scopus 로고
    • The nonlinear physics of musical instruments
    • N. H. Fletcher, "The nonlinear physics of musical instruments," Rep. Prog. Phys., 62, 723-764 (1999).
    • (1999) Rep. Prog. Phys. , vol.62 , pp. 723-764
    • Fletcher, N.H.1
  • 3
    • 0039252495 scopus 로고    scopus 로고
    • Lyapunov exponents from experimental time series: Application to cymbal vibrations
    • C. Touzé and A. Chaigne, "Lyapunov exponents from experimental time series: application to cymbal vibrations," Acustica - Acta Acustica, 86, 557-567 (2000).
    • (2000) Acustica - Acta Acustica , vol.86 , pp. 557-567
    • Touzé, C.1    Chaigne, A.2
  • 4
    • 0022349593 scopus 로고
    • Nonlinear frequency shifts in quasi-spherical-caps shells: Pitch glide in Chinese gongs
    • N. H. Fletcher, "Nonlinear frequency shifts in quasi-spherical-caps shells: Pitch glide in Chinese gongs," J. Acoust. Soc. Am., 78, 2069-2073 (1985).
    • (1985) J. Acoust. Soc. Am. , vol.78 , pp. 2069-2073
    • Fletcher, N.H.1
  • 5
    • 0024846327 scopus 로고
    • Nonlinearity, chaos, and the sound of shallow gongs
    • K. A. Legge and N. H. Fletcher, "Nonlinearity, chaos, and the sound of shallow gongs," J. Acoust. Soc. Am., 86, 2439-2443 (1989).
    • (1989) J. Acoust. Soc. Am. , vol.86 , pp. 2439-2443
    • Legge, K.A.1    Fletcher, N.H.2
  • 6
    • 11144301691 scopus 로고    scopus 로고
    • Nonlinear axisymmetric vibrations of gongs
    • Perugia
    • A. Chaigne, C. Touzé and O. Thomas, "Nonlinear axisymmetric vibrations of gongs," Proc. Int. Symp. Mus. Acoust, Perugia, Vol. 1, pp. 147-152 (2001).
    • (2001) Proc. Int. Symp. Mus. Acoust , vol.1 , pp. 147-152
    • Chaigne, A.1    Touzé, C.2    Thomas, O.3
  • 7
    • 25144474849 scopus 로고    scopus 로고
    • Vibrations of shallow spherical shells and gongs: A comparative study
    • Sevilla, Mus-06-006-IP
    • A. Chaigne, M. Fontaine, O. Thomas, M. Ferré and C. Touzé, "Vibrations of shallow spherical shells and gongs: A comparative study," Proc. Forum Acusticum, Sevilla, Mus-06-006-IP (2002).
    • (2002) Proc. Forum Acusticum
    • Chaigne, A.1    Fontaine, M.2    Thomas, O.3    Ferré, M.4    Touzé, C.5
  • 8
    • 13444303912 scopus 로고    scopus 로고
    • Nonlinear vibrations of free-edge thin spherical shells: Modal interaction rules and 1:1:2 internal resonance
    • O. Thomas, C. Touzé and A. Chaigne, "Nonlinear vibrations of free-edge thin spherical shells: modal interaction rules and 1:1:2 internal resonance," Int. J. Solids Struct., 42, 3339-3373 (2005).
    • (2005) Int. J. Solids Struct. , vol.42 , pp. 3339-3373
    • Thomas, O.1    Touzé, C.2    Chaigne, A.3
  • 9
    • 25144441610 scopus 로고    scopus 로고
    • Nonlinear modal interactions in free-edge thin spherical shells: Measurements of a 1:1:2 internal resonance
    • Boston
    • O. Thomas, E. Luminais and C. Touzé, "Nonlinear modal interactions in free-edge thin spherical shells: Measurements of a 1:1:2 internal resonance," 3rd MIT Conf. Computational Fluid and Solid Mechanics, Boston (2005).
    • (2005) 3rd MIT Conf. Computational Fluid and Solid Mechanics
    • Thomas, O.1    Luminais, E.2    Touzé, C.3
  • 10
    • 0042383082 scopus 로고    scopus 로고
    • Asymmetric non-linear forced vibrations of free-edge circular plates, Part II: Experiments
    • O. Thomas, C. Touzé and A. Chaigne, "Asymmetric non-linear forced vibrations of free-edge circular plates, Part II: experiments," J. Sound Vib., 265, 1075-1101 (2003).
    • (2003) J. Sound Vib. , vol.265 , pp. 1075-1101
    • Thomas, O.1    Touzé, C.2    Chaigne, A.3
  • 11
    • 2342517458 scopus 로고    scopus 로고
    • Hardening-softening behaviour in non-linear oscillations of structural systems using nonlinear normal modes
    • C. Touzé, O. Thomas and A. Chaigne, "Hardening-softening behaviour in non-linear oscillations of structural systems using nonlinear normal modes," J. Sound Vib., 273, 77-101 (2004).
    • (2004) J. Sound Vib. , vol.273 , pp. 77-101
    • Touzé, C.1    Thomas, O.2    Chaigne, A.3
  • 13
    • 13444308682 scopus 로고    scopus 로고
    • Non-linear behaviour of gongs through the dynamics of simple rods systems
    • Perugia
    • O. Thomas, C. Touzé and A. Chaigne, "Non-linear behaviour of gongs through the dynamics of simple rods systems," Proc. Int. Symp. Mus. Acoust., Perugia (2001).
    • (2001) Proc. Int. Symp. Mus. Acoust.
    • Thomas, O.1    Touzé, C.2    Chaigne, A.3
  • 14
    • 33745891539 scopus 로고    scopus 로고
    • Nonlinear behavior of free-edge shallow spherical shells: Effect of the geometry
    • submitted
    • C. Touzé and O. Thomas, "Nonlinear behavior of free-edge shallow spherical shells: Effect of the geometry," Int. J. Nonlinear Mech. (submitted).
    • Int. J. Nonlinear Mech.
    • Touzé, C.1    Thomas, O.2
  • 15
    • 11144275044 scopus 로고
    • Nonlinear vibrations in plates and gongs
    • T. D. Rossing and N. H. Fletcher, "Nonlinear vibrations in plates and gongs," J. Acoust. Soc. Am., 73, 345-351 (1983).
    • (1983) J. Acoust. Soc. Am. , vol.73 , pp. 345-351
    • Rossing, T.D.1    Fletcher, N.H.2
  • 16
    • 0029388116 scopus 로고
    • Nonlinear normal modes, invariance and modal dynamics approximations of nonlinear systems
    • N. Boivin, C. Pierre and S. W. Shaw, "Nonlinear normal modes, invariance and modal dynamics approximations of nonlinear systems," Nonlinear Dyn., 8, 315-346 (1995).
    • (1995) Nonlinear Dyn. , vol.8 , pp. 315-346
    • Boivin, N.1    Pierre, C.2    Shaw, S.W.3
  • 17
    • 0003915006 scopus 로고    scopus 로고
    • Cambridge Nonlinear Sciences Series, Cambridge University Press, Cambridge
    • H. Kantz and T. Schreiber, Nonlinear Time Series Analysis, Cambridge Nonlinear Sciences Series, Vol. 7 (Cambridge University Press, Cambridge, 1997).
    • (1997) Nonlinear Time Series Analysis , vol.7
    • Kantz, H.1    Schreiber, T.2
  • 18
    • 40749093037 scopus 로고
    • Measuring the strangeness of strange attractors
    • P. Grassberger and I. Procaccia, "Measuring the strangeness of strange attractors," Physica D, 9, 189-208 (1983).
    • (1983) Physica D , vol.9 , pp. 189-208
    • Grassberger, P.1    Procaccia, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.