메뉴 건너뛰기




Volumn 29, Issue 4-5, 2002, Pages 392-408

Boundary collocation method for acoustic eigenanalysis of three-dimensional cavities using radial basis function

Author keywords

Acoustic analysis; Boundary collocation method; Imaginary part kernel; Radial basis function; SVD

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; MATRIX ALGEBRA; RADIAL BASIS FUNCTION NETWORKS;

EID: 0036815548     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-002-0350-y     Document Type: Article
Times cited : (72)

References (33)
  • 1
    • 0024030563 scopus 로고
    • A new BEM formulation for the acoustic eigenfrequency analysis
    • Banerjee P.A., Ahmad S., Wang H.C. (1988) A new BEM formulation for the acoustic eigenfrequency analysis. Int. J. Numer. Meth. Eng. 26:1299-1309.
    • (1988) Int. J. Numer. Meth. Eng. , vol.26 , pp. 1299-1309
    • Banerjee, P.A.1    Ahmad, S.2    Wang, H.C.3
  • 3
    • 85025223492 scopus 로고
    • Boundary element methods in dynamic analysis
    • Beskos D.E. (1987) Boundary element methods in dynamic analysis. Appl. Mech. Rev. 40(1): 1-23.
    • (1987) Appl. Mech. Rev. , vol.40 , Issue.1 , pp. 1-23
    • Beskos, D.E.1
  • 5
    • 0031095811 scopus 로고
    • Boundary element methods in dynamic analysis: Part II
    • Beskos D.E. (1986-1996) Boundary element methods in dynamic analysis: Part II. Appl. Mech. Rev. 50(3): 149-197.
    • (1986) Appl. Mech. Rev. , vol.50 , Issue.3 , pp. 149-197
    • Beskos, D.E.1
  • 6
    • 0033076244 scopus 로고    scopus 로고
    • Dual reciprocity method using compactly supported radial basis functions
    • Chen C.S., Brebbia C.A., Power H. (1999) Dual reciprocity method using compactly supported radial basis functions. Commun. Numer. Meth. Eng. 15: 137-150.
    • (1999) Commun. Numer. Meth. Eng. , vol.15 , pp. 137-150
    • Chen, C.S.1    Brebbia, C.A.2    Power, H.3
  • 7
    • 0037206998 scopus 로고    scopus 로고
    • The boundary collocation method with meshless concept for acoustic eigenanalysis of two-dimensional cavities using radial basis function
    • accepted
    • Chen J.T., Chang M.H., Chen K.H., Lin S.R. (2002) The boundary collocation method with meshless concept for acoustic eigenanalysis of two-dimensional cavities using radial basis function. J. Sound and Vibration (accepted).
    • (2002) J. Sound and Vibration
    • Chen, J.T.1    Chang, M.H.2    Chen, K.H.3    Lin, S.R.4
  • 8
    • 0001799089 scopus 로고    scopus 로고
    • Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series
    • Chen J.T., Hong H.-K. (1999) Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series. Appl. Mech. Rev. ASME, 52(1): 17-33.
    • (1999) Appl. Mech. Rev. ASME , vol.52 , Issue.1 , pp. 17-33
    • Chen, J.T.1    Hong, H.-K.2
  • 9
    • 0031176257 scopus 로고    scopus 로고
    • Analytical derivations for one-dimensional eigenproblems using dual BEM and MRM
    • Chen J.T., Wong F.C. (1997) Analytical derivations for one-dimensional eigenproblems using dual BEM and MRM. Eng. Anal. Boundary Elements 20(1): 25-33.
    • (1997) Eng. Anal. Boundary Elements , vol.20 , Issue.1 , pp. 25-33
    • Chen, J.T.1    Wong, F.C.2
  • 10
    • 0032180927 scopus 로고    scopus 로고
    • Dual formulation of multiple reciprocity method for the acoustic mode of a cavity with a thin partition
    • Chen J.T., Wong F.C. (1998) Dual formulation of multiple reciprocity method for the acoustic mode of a cavity with a thin partition. J. Sound and Vibration 217: 75-95.
    • (1998) J. Sound and Vibration , vol.217 , pp. 75-95
    • Chen, J.T.1    Wong, F.C.2
  • 11
    • 0032669511 scopus 로고    scopus 로고
    • Determination of spurious eigenvalues and multiplicities of true eigenvalues using the real-part dual BEM
    • Chen J.T., Huang C.X., Chen K.H. (1999) Determination of spurious eigenvalues and multiplicities of true eigenvalues using the real-part dual BEM. Comput. Mech. 24(1): 41-51.
    • (1999) Comput. Mech. , vol.24 , Issue.1 , pp. 41-51
    • Chen, J.T.1    Huang, C.X.2    Chen, K.H.3
  • 12
    • 0034249362 scopus 로고    scopus 로고
    • Comments on "Vibration analysis of arbitrary shaped membranes using non-dimensional dynamic influence function"
    • Chen J.T., Kuo S.R., Chen K.H., Cheng Y.C. (2000) Comments on "Vibration analysis of arbitrary shaped membranes using non-dimensional dynamic influence function". J. Sound and Vibration 235(1): 156-171.
    • (2000) J. Sound and Vibration , vol.235 , Issue.1 , pp. 156-171
    • Chen, J.T.1    Kuo, S.R.2    Chen, K.H.3    Cheng, Y.C.4
  • 13
    • 0036148501 scopus 로고    scopus 로고
    • Comments on "Eigenmode analysis of arbitrarily shaped two-dimensional cavities by the method of point matching"
    • Chen J.T., Chang M.H., Chung I.L., Cheng Y.C. (2002) Comments on "Eigenmode analysis of arbitrarily shaped two-dimensional cavities by the method of point matching". J. Acoust. Soc. Am. 111(1): 33-36.
    • (2002) J. Acoust. Soc. Am. , vol.111 , Issue.1 , pp. 33-36
    • Chen, J.T.1    Chang, M.H.2    Chung, I.L.3    Cheng, Y.C.4
  • 15
    • 84985331000 scopus 로고
    • A simplified integral equation method for the calculation of the eigenvalues of Helmholtz equation
    • De G. Mey (1977) A simplified integral equation method for the calculation of the eigenvalues of Helmholtz equation. Int. J. Numer. Meth. Eng. 11:1340-1342.
    • (1977) Int. J. Numer. Meth. Eng. , vol.11 , pp. 1340-1342
    • De Mey, G.1
  • 16
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: Theory and applications to non-spherical stars
    • Gingold R.A., Maraghan J.J. (1977) Smoothed particle hydrodynamics: theory and applications to non-spherical stars. Mon. Not. Astro. Soc. 181: 375-389.
    • (1977) Mon. Not. Astro. Soc. , vol.181 , pp. 375-389
    • Gingold, R.A.1    Maraghan, J.J.2
  • 17
    • 0011864428 scopus 로고
    • Some recent results and proposals for the use of radial basis functions in the BEM
    • Golberg M.A., Chen C.S., Bowman H. (1977) Some recent results and proposals for the use of radial basis functions in the BEM. Eng. Anal. Bound. Elem. 23: 375-389.
    • (1977) Eng. Anal. Bound. Elem. , vol.23 , pp. 375-389
    • Golberg, M.A.1    Chen, C.S.2    Bowman, H.3
  • 19
    • 0030214179 scopus 로고    scopus 로고
    • A new complex-valued formulation and eigenvalue analysis of the Helmholtz equation by boundary element method
    • Kamiya N., Ando E., Nogae K. (1996) A new complex-valued formulation and eigenvalue analysis of the Helmholtz equation by boundary Element Method. Adv. Eng. Software 26: 219-227.
    • (1996) Adv. Eng. Software , vol.26 , pp. 219-227
    • Kamiya, N.1    Ando, E.2    Nogae, K.3
  • 20
    • 0000968073 scopus 로고    scopus 로고
    • Vibration analysis of arbitrary shaped membranes using non-dimensional dynamic influence function
    • Kang S.W., Lee J.M., Kang Y.J. (1999) Vibration analysis of arbitrary shaped membranes using non-dimensional dynamic influence function. J. Sound and Vibration 221(1): 117-132.
    • (1999) J. Sound and Vibration , vol.221 , Issue.1 , pp. 117-132
    • Kang, S.W.1    Lee, J.M.2    Kang, Y.J.3
  • 21
    • 0034227638 scopus 로고    scopus 로고
    • Application of free vibration analysis of membranes using the non-dimensional dynamic influence function
    • Kang S.W., Lee J.M. (2000a) Application of free vibration analysis of membranes using the non-dimensional dynamic influence function. J. Sound and Vibration 234(3): 455-470.
    • (2000) J. Sound and Vibration , vol.234 , Issue.3 , pp. 455-470
    • Kang, S.W.1    Lee, J.M.2
  • 22
    • 0039172972 scopus 로고    scopus 로고
    • Eigenmode analysis of arbitrarily shaped two-dimensional cavities by the method of point matching
    • Kang S.W., Lee J.M. (2000b) Eigenmode analysis of arbitrarily shaped two-dimensional cavities by the method of point matching. J. Acoust. Soc. Am. 107(3): 1153-1160.
    • (2000) J. Acoust. Soc. Am. , vol.107 , Issue.3 , pp. 1153-1160
    • Kang, S.W.1    Lee, J.M.2
  • 23
    • 0035912162 scopus 로고    scopus 로고
    • Free vibration analysis of arbitrary shaped plates with clamped edges using wave-type functions
    • Kang S.W., Lee J.M. (2001) Free vibration analysis of arbitrary shaped plates with clamped edges using wave-type functions. J. Sound and Vibration 242(1): 9-26.
    • (2001) J. Sound and Vibration , vol.242 , Issue.1 , pp. 9-26
    • Kang, S.W.1    Lee, J.M.2
  • 24
    • 0034229431 scopus 로고    scopus 로고
    • Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM
    • Kuo S.R., Chen J.T., Huang C.X. (2000a) Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM. Int. J. Numer. Meth. Eng. 48: 1401-1422.
    • (2000) Int. J. Numer. Meth. Eng. , vol.48 , pp. 1401-1422
    • Kuo, S.R.1    Chen, J.T.2    Huang, C.X.3
  • 25
    • 0034247389 scopus 로고    scopus 로고
    • Applications of the generalized singular-value decomposition method on the eigenproblem using the incomplete boundary element formulation
    • Kuo S.R., Yeih W., Wu Y.C. (2000b) Applications of the generalized singular-value decomposition method on the eigenproblem using the incomplete boundary element formulation. J. Sound and Vibration 235(5): 813-845..
    • (2000) J. Sound and Vibration , vol.235 , Issue.5 , pp. 813-845
    • Kuo, S.R.1    Yeih, W.2    Wu, Y.C.3
  • 27
    • 0003156042 scopus 로고    scopus 로고
    • A new method for determining the acoustic modes of a two-dimensional sound field
    • in Chinese
    • Liou D.Y., Chen J.T., Chen K.H. (1999) A new method for determining the acoustic modes of a two-dimensional sound field. J. Chinese Inst. Civ. Hydr. Eng. 11(2): 89-100 (in Chinese).
    • (1999) J. Chinese Inst. Civ. Hydr. Eng. , vol.11 , Issue.2 , pp. 89-100
    • Liou, D.Y.1    Chen, J.T.2    Chen, K.H.3
  • 28
    • 0001476575 scopus 로고
    • A new approach to free vibration analysis using boundary elements
    • Computational Mechanics Publications, Southampton, and Springer-Verlag, Berlin and New York
    • Nardini D., Brebbia C.A. (1982) A new approach to free vibration analysis using boundary elements. In: Boundary Element Methods in Engineering. Computational Mechanics Publications, Southampton, and Springer-Verlag, Berlin and New York.
    • (1982) Boundary Element Methods in Engineering
    • Nardini, D.1    Brebbia, C.A.2
  • 29
    • 0001741946 scopus 로고
    • On the equivalence of dual reciprocity and particular integral approaches in the BEM
    • Polyzos D., Dassics G., Beskos D.E. (1994) On the equivalence of dual reciprocity and particular integral approaches in the BEM. Boundary Element Commun. 5(6): 285-288.
    • (1994) Boundary Element Commun. , vol.5 , Issue.6 , pp. 285-288
    • Polyzos, D.1    Dassics, G.2    Beskos, D.E.3
  • 31
    • 0016103212 scopus 로고
    • Helmholtz equation eigenvalues and eigenmodes for arbitrary domains
    • Tai G.R.G., Shaw R.P. (1974) Helmholtz equation eigenvalues and eigenmodes for arbitrary domains. J. Acoust. Soc. Am. 56: 796-804.
    • (1974) J. Acoust. Soc. Am. , vol.56 , pp. 796-804
    • Tai, G.R.G.1    Shaw, R.P.2
  • 32
    • 0031601033 scopus 로고    scopus 로고
    • A study on the multiple reciprocity method and complex-valued formulation for the Helmholtz equation
    • Yeih W., Chen J.T., Chen K.H., Wong F.C. (1998) A study on the multiple reciprocity method and complex-valued formulation for the Helmholtz equation. Adv. Eng. Software 29(1): 7-12.
    • (1998) Adv. Eng. Software , vol.29 , Issue.1 , pp. 7-12
    • Yeih, W.1    Chen, J.T.2    Chen, K.H.3    Wong, F.C.4
  • 33
    • 0034294250 scopus 로고    scopus 로고
    • Meshless methods based on collocation with radial basis functions
    • Zhang X., Song K.Z., Lu M.W., Liu X. (2000) Meshless methods based on collocation with radial basis functions. Comput. Mech. 26: 333-343.
    • (2000) Comput. Mech. , vol.26 , pp. 333-343
    • Zhang, X.1    Song, K.Z.2    Lu, M.W.3    Liu, X.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.