메뉴 건너뛰기




Volumn , Issue , 2004, Pages 119-124

MODAL-TYPE SYNTHESIS TECHNIQUES FOR NONLINEAR STRINGS WITH AN ENERGY CONSERVATION PROPERTY

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; FINITE DIFFERENCE METHOD; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS;

EID: 85138808515     PISSN: 24136700     EISSN: 24136689     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (15)

References (29)
  • 1
    • 0003983549 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • P. Morse and U. Ingard, Theoretical Acoustics, Princeton University Press, Princeton, New Jersey, 1968.
    • (1968) Theoretical Acoustics
    • Morse, P.1    Ingard, U.2
  • 2
    • 0015069716 scopus 로고
    • Synthesizing musical sounds by solving the wave equation for vibrating objects
    • 542-551
    • L. Hiller and P. Ruiz, “Synthesizing musical sounds by solving the wave equation for vibrating objects, ” Journal of the Audio Engineering Society, vol. 19, pp. 462-472, 542-551, 1971.
    • (1971) Journal of the Audio Engineering Society , vol.19 , pp. 462-472
    • Hiller, L.1    Ruiz, P.2
  • 4
    • 0018112951 scopus 로고
    • A discrete model of a struck string
    • R. Bacon and J. Bowsher, “A discrete model of a struck string, ” Acustica, vol. 41, pp. 21-27, 1978.
    • (1978) Acustica , vol.41 , pp. 21-27
    • Bacon, R.1    Bowsher, J.2
  • 5
    • 0007461324 scopus 로고
    • Tech. Rep. STAN-M-39, Center for Computer Research in Music and Acoustics (CCRMA), Department of Music, Stanford University, Please also
    • J. O. Smith III, “Music applications of digital waveguides, ” Tech. Rep. STAN-M-39, Center for Computer Research in Music and Acoustics (CCRMA), Department of Music, Stanford University, 1987, Please see also http://ccrma.stanford.edu/jos/wg.html.
    • (1987) Music applications of digital waveguides
    • Smith, J. O.1
  • 6
    • 0028055201 scopus 로고
    • Numerical simulations of struck strings. I. A physical model for a struck string using finite difference methods
    • Feb
    • A. Chaigne and A. Askenfelt, “Numerical simulations of struck strings. I. A physical model for a struck string using finite difference methods, ” Journal of the Acoustical Society of America, vol. 95, no. 2, pp. 1112-1118, Feb. 1994.
    • (1994) Journal of the Acoustical Society of America , vol.95 , Issue.2 , pp. 1112-1118
    • Chaigne, A.1    Askenfelt, A.2
  • 7
    • 0000172163 scopus 로고
    • On the use of finite differences for musical synthesis. Application to plucked stringed instruments
    • A. Chaigne, “On the use of finite differences for musical synthesis. Application to plucked stringed instruments, ” J. d'Acoust., vol. 5, no. 2, pp. 181-211, 1992.
    • (1992) J. d'Acoust , vol.5 , Issue.2 , pp. 181-211
    • Chaigne, A.1
  • 9
    • 0043069840 scopus 로고    scopus 로고
    • The simulation of piano string vibration: From physical models to finite difference schemes and digital waveguides
    • J. Bensa, S. Bilbao, R. Kronland-Martinet, and J. O. Smith III, “The simulation of piano string vibration: From physical models to finite difference schemes and digital waveguides, ” Journal of the Acoustical Society of America, vol. 114, no. 2, pp. 1095-1107, 2003.
    • (2003) Journal of the Acoustical Society of America , vol.114 , Issue.2 , pp. 1095-1107
    • Bensa, J.1    Bilbao, S.2    Kronland-Martinet, R.3    Smith, J. O.4
  • 10
    • 0003070118 scopus 로고
    • The missing link: Modal synthesis
    • G. DePoli, A. Picialli, and C. Roads, Eds., MIT Press, Cambridge, MA
    • J.-M. Adrien, “The missing link: Modal synthesis, ” in Representations of Musical Signals, G. DePoli, A. Picialli, and C. Roads, Eds., pp. 269-297. MIT Press, Cambridge, MA, 1991.
    • (1991) Representations of Musical Signals , pp. 269-297
    • Adrien, J.-M.1
  • 11
    • 2142830913 scopus 로고
    • The mechanics of vibrating strings
    • A. Hirschberg, J. Kergomard, and G. Weinreich, Eds., Springer, New York
    • C. Vallette, “The mechanics of vibrating strings, ” in Mechanics of Musical Instruments, A. Hirschberg, J. Kergomard, and G. Weinreich, Eds., pp. 116-183. Springer, New York, 1995.
    • (1995) Mechanics of Musical Instruments , pp. 116-183
    • Vallette, C.1
  • 12
    • 0014504950 scopus 로고    scopus 로고
    • Large-amplitude damped free vibration of a stretched string
    • G. Anand, “Large-amplitude damped free vibration of a stretched string, ” Journal of the Acoustical Society of America, vol. 45, no. 5, pp. 1089.
    • Journal of the Acoustical Society of America , vol.45 , Issue.5 , pp. 1089
    • Anand, G.1
  • 14
    • 0001215760 scopus 로고
    • On the nonlinear vibration problem of the elastic string
    • G. F. Carrier, “On the nonlinear vibration problem of the elastic string, ” Quarterly of Applied Mathematics, vol. 3, pp. 157-165, 1945.
    • (1945) Quarterly of Applied Mathematics , vol.3 , pp. 157-165
    • Carrier, G. F.1
  • 23
    • 0010757244 scopus 로고
    • Non-local solutions of a nonlinear hyperbolic partial differential equation
    • C. L. Frota, “Non-local solutions of a nonlinear hyperbolic partial differential equation, ” Portugaliae Mathematica, vol. 51, no. 3, pp. 455-473, 1994.
    • (1994) Portugaliae Mathematica , vol.51 , Issue.3 , pp. 455-473
    • Frota, C. L.1
  • 24
    • 0141959088 scopus 로고    scopus 로고
    • Effect of moving boundaries on the vibrating elastic string
    • I. Liu and M. Rincon, “Effect of moving boundaries on the vibrating elastic string, ” Applied Numerical Mathematics, vol. 47, pp. 159-172, 2003.
    • (2003) Applied Numerical Mathematics , vol.47 , pp. 159-172
    • Liu, I.1    Rincon, M.2
  • 25
    • 84902283210 scopus 로고
    • A quasilinear hyperbolic integrodifferential equation related to a nonlinear string
    • M. Heard, “A quasilinear hyperbolic integrodifferential equation related to a nonlinear string, ” Transactions of the American Mathematical Society, vol. 285, no. 2, pp. 805-823, 1984.
    • (1984) Transactions of the American Mathematical Society , vol.285 , Issue.2 , pp. 805-823
    • Heard, M.1
  • 26
    • 84968491404 scopus 로고
    • Infinite systems of nonlinear oscillation equations related to the string
    • R. Dickey, “Infinite systems of nonlinear oscillation equations related to the string, ” Proceedings of the American Mathematical Society, vol. 23, no. 3, pp. 459-468, 1969.
    • (1969) Proceedings of the American Mathematical Society , vol.23 , Issue.3 , pp. 459-468
    • Dickey, R.1
  • 27
    • 0004151494 scopus 로고
    • Cambridge University Press, Cambridge, England
    • R. Horn and C. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, England, 1985.
    • (1985) Matrix Analysis
    • Horn, R.1    Johnson, C.2
  • 29
    • 0003583110 scopus 로고
    • Cambridge Monographs on Applied and Computational Mathematics, Cambridge, England
    • B. Fornberg, A Practical Guide to Pseudospectral Methods, Cambridge Monographs on Applied and Computational Mathematics, Cambridge, England, 1995.
    • (1995) A Practical Guide to Pseudospectral Methods
    • Fornberg, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.