藉由理論之技巧將Green函數的奇異性消除 ，
進而推導出無奇異性之邊界積分式的直接法與間接法之理論公式 ，
並探討直接法與間接法之差異性 。並將其應用在剛體三維聲場散射問題上 ，
並對兩種方法所得之數值結果加以比較 。
在數值解法的過程中 ，
導入Gauss積分之概念 ，把物體視為一個或數個高階之元素 ，
以減少數值運算的時間 。
數值運算結果顯示 ， 使用無奇異性高階邊界積分式時 ，
不論是直接法或者間接法 ， 都能得到相當準確之結果 。
證實本方法在聲場問題分析上 ，
為一可靠且有效之數值方法 。

1. Becker, A.A. The Boundary Method in Engineering, McGraw-Hill, New York, 1992.
2. Gladwell, G.M.L. " A Variational Formulation of Damped
Acousto-Structural Vibration Problems," Journal of Sound and
Vibration, Vol.4, pp.172-186, 1996
3. Kandidov, V.P. and Khristochevskii, S.A. " Determination
of the Pressure of a Fluid on a Cylinder by the Finite Element
Method," Soviet Physics-Acoustics, Vol.24, No.3, pp.392-395, 1978.
4. Petyl, M. " Finite Element Techniques for Acoustics," in:
R.G. White and J.G. Walker, eds., Noise and Vibration, Ellis
Horwood Limited, Chichester, West Sussex, 1982.
5. Melvyn, S.M. " A Finite Element Method Applies to the
Vibration of Submerged Structures," J. Ship Researc, Vol. 9,
No.1, pp.11-22, 1965.
6. Petyl, M., Lea, J., and Koopmann, G " A Finite Element
Method for Determing the Acoustic Modes of Irregular Shaped
Cavities," Journal of Sound and Vibration, Vol.45, pp.495-502, 1976.
Cavities," Journal of Sound and Vibration, Vol.45, pp.495-502, 1976.
8. Liu, W.K " Finite Element Procedures for Fluid-Structure
Interations and Application to Liquid Storage Tanks," Nuclear
Engineering and Design, Vol.65, pp.221-238, 1981.
9. Liu, W.K. and Ma, D.C. " Computer Implementation Aspects
for Fluid-Structure Interactions Problems," Computer Methods
in Applied Mechanics and Engineering, Vol.31, pp.129-148,1982.
in Applied Mechanics and Engineering, Vol.31, pp.129-148,1982.
11. craggs.A " AFinite Element Method for the Free Vibration of Air in Ducts and Rooms with Absorbing Walls," Journal of Sound and Vibration, Vol.173, No.4, pp.568-576, 1994.
11. craggs.A " AFinite Element Method for the Free Vibration of Air in Ducts and Rooms with Absorbing Walls," Journal of Sound and Vibration, Vol.173, No.4, pp.568-576, 1994.
11. craggs.A " AFinite Element Method for the Free Vibration of Air in Ducts and Rooms with Absorbing Walls," Journal of Sound and Vibration, Vol.173, No.4, pp.568-576, 1994.
11. craggs.A " AFinite Element Method for the Free Vibration of Air in Ducts and Rooms with Absorbing Walls," Journal of Sound and Vibration, Vol.173, No.4, pp.568-576, 1994.
15. Givolli, D., and Keller, J.B. " A Finite Element Method for Large Domains," Computer Methods in Applied Mechanics and Engineering, Vol.76, pp.41-66, 1989.
16. Hunt, J.T., Knittel, M.R., and Barach, D. " Finite Element
Approach to Acoustic Radition from Elastic Structures," The
Journal of Acoustical Society of America, Vol.55, No.2, pp.269-280, 1974.
17. Hunt, J.T., Knittel, M.R., Nichols, C.S., and Barach, D."
Finite Element Approach to Acoustic Scattering From Elastic
Structures," The Journal of Acoustical Society of Amercia, Vol.57, No.2, pp.287-299, 1975.
18. Chen, L.H., and Schweikert, D.G. " Sound Radition from an
Arbitary Body," The Journal of Acoustical Society of America, Vol.35, No.10, pp.1626-1632, 1963.
19. Chertock, G. " Sound Radition from Vibrating Sufrace," The Journal of Acoustical Society of America, Vol.36, No.7, pp.1305-1313, 1964.
20. Copley, L.G. " Integral Equation Method for Radition from
Vibrating Bodies," The Journal of Acoustical Society of
America, Vol.41, No.4, pp.807-816, 1967.
21. Copley, L.G. " Fundamental Results Concerning Integral
Representations in Acoustic Radition," The Journal of Acoustical Society of America,} Vol.44, No.1, pp.28-32, 1968.
Representations in Acoustic Radition," The Journal of Acoustical Society of America,} Vol.44, No.1, pp.28-32, 1968.
23. Schenk, H.A. " Improved Integral Formulation for Acoustic Radiation Problems," The Journal of Acoustical Society of America, Vol.44, No.1, pp.41-58, 1968.
24. Burton, A.J. and Miller, G.F. " The Application of Integral Equation Methods to Numerical Solution of Some Exterior Boundary-Value Problems," Proc. of the Royal Society,
London A, Vol.323, pp.201-210, 1971.
25. Zienkiewicz, O.C., Kelly, D.W. and Bettess, P. " The
Coupling of the Finite Element Method and Boundary Solution
Procedures," International Journal for Numerical Methods in
Engineering, Vol.11, pp.355-375, 1977.
26. Wu, S.W. " Coupled Finite Element and Boundary Element
Method for Axisymmetric Fluid-Structure Interation," The Chinese Journal of Mechanics, Vol.8, pp.31-41, 1992.
27. Li, H.B. and Han, G.M. " A New Method for the Coupling of
Finite Element and Boundary Element Discretized Subdomains of
Elastic Bodies," Computer Methods and Engineering, Vol.54, pp.161-185, 1986.
28. Schenk, H.A. and Benthieen, G.W. " The Application of a Coupled Finite-Element Boundary-Element Technique to Large-Scale
Structural Acoustic Problems," in: C.A.Brebbia and J.Connor, ed., Advanced in Boundary Element Methods, pp. 309-317, 1989.
29. Kelly, D.W., Mustoe, G.G.W. and Zienkiewicz, O.C.
" Coupling Boundary Element Methods with Other Numerical
Methods," in: P.K. Banerjee and J.O.Watson, eds., Development in Boundary Element Methods, Vol.4, pp.251-285, 1985.
30. Dobus, B. " Coupling Finite element and Boundary Element
Methods on a Mixed Solid-Fluid/Fluid-Fluid Boundary for Radiation or Scatering Problems," The Journal of Acoustical Society of America, Vol.96, No.6, pp.3792-3799, 1994.
31. Landweber, L. and M. Macagno " Irrotational Flow About Ship Forms," Iowa Institute of Hydraulic Research, The University of Iowa, IIHR Report No.123, 1969.
32. Morse, P.M. and Ingard, K U. , Theorectical Acoustics,
McGraw-Hill Book Company, Inc., New York.
33. Jaswon, A. and G.T. Symm, Integral Equation Methods in Potential Theory and Elastostatics, Academic Press, London, 1977.
34. Seybert, A.F., Soenarko, B., Rizzo, F.J., and Shippy, D.J.
" A Special Integral Equation Formulation for Acoustic Radiation
and Scattering for Axisymmertic Bodies and Boundary Conditions,"
The Journal of Acoustical Society of America, Vol.80, No.4, pp.1241-1247, 1988.
35.
Tobocman, W. " Calculation of Acoustic Wave Scattering by Means of the Helmholtz Integral Equation I," The Journal of Acoustical Society of America, Vol.76, No.2, pp.599-608, 1984.