An advanced boundary element method for axisymmetric elastodynamic analysis

Computer Methods in Applied Mechanics and Engineering

Volumn 175, Issue 1-2, 1999, Pages 53-70

  Tsinopoulos, S V ^a   Kattis, S E ^a   Polyzos, D ^a   Beskos, D E ^a  

^a UNIVERSITY OF PATRAS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; FAST FOURIER TRANSFORMS; GEOMETRY;

AXISYMMETRIC ELASTODYNAMIC ANALYSIS; CIRCUMFERENTIAL DIRECTION; FOURIER COEFFICIENTS; FREQUENCY DOMAIN ELASTODYNAMICS; GAUSS QUADRATURE; QUADRATIC BOUNDARY ELEMENTS;

ELASTIC WAVES;

BOUNDARY ELEMENT METHOD; ELASTIC DEFORMATION; FOURIER TRANSFORM; GEOMETRICAL EFFECT;

EID: 0033535854     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00319-3     Document Type: Article

References (32)

1. [1] T. Kermanidis, A numerical solution for axially symmetrical elasticity problems, Int. J. Solids Struct. 11 (1975) 493-500.
2. [2] M. Mayer, On the numerical solution of axisymmetric elasticity problems using an integral equation approach, Mech. Res. Comm. 3 (1976) 393-398.
3. [3] M. Mayer, W. Drexler and G. Kuhn, A semianalytical boundary integral approach for axisymmetric elastic bodies with arbitrary boundary conditions, Int. J. Solids Struct. 16 (1980) 863-871.
4. [4] T.A. Cruse, D.W. Snow and R.B. Wilson, Numerical solutions in axisymmetric elasticity, Comput. Struct. 7 (1977) 445-451.
5. [5] F.J. Rizzo and D.J. Shippy, A boundary integral approach to potential and elasticity problems for axisymmetric bodies with arbitrary conditions, Mech. Res. Comm. 6 (1979) 99-103.
6. [6] D.J. Shippy, F.J. Rizzo and R.K. Nigam, A boundary integral equation method for axisymmetric elastostatic bodies under arbitrary surface loads, in: R.P. Shaw et al., eds., Innovative Numerical Analysis in Applied Engineering Sciences (University of Virginia Press, Charlottesville, 1980) 423-432.
7. [7] H.C. Wang and P.K. Banerjee, Multi-domain general axisymmetric stress analysis by BEM, Int. J. Numer. Methods Engrg. 28 (1989) 2065-2083.
8. [8] M.S. Gomez Lera, E. Alarcon and J. Dominguez, On the use of a 3-D fundamental solution for axisymmetric steady-state dynamic problems, in: C.A. Brebbia and G. Maier, eds., Boundary Elements VII (Springer-Verlag, Berlin, 1985) 6127-6136.
9. [9] J.M. Emperador and J. Dominguez, Dynamic response of axisymmetric embedded foundations, Earthquake Engrg. Struct. Dyn. 18 (1989) 1105-1117.
10. [10] H.C. Wang and P.K. Banerjee, Generalized axisymmetric elastodynamic analysis by boundary element method, Int. J. Numer. Methods Engrg. 30 (1990) 115-131.
11. [11] H.C. Wang and P.K. Banerjee, Axisymmetric transient elastodynamic analysis by boundary element method, Int. J. Solids Struct. 26 (1990) 401-415.
12. [12] P.S. Kondapalli and M. El-Raneb, Frequency response of elastic bodies of revolution by boundary element method, J. Acoust. Soc. Am. 98 (1995) 1558-1564.
13. [13] H.C. Wang and P.K. Banerjee, Axisymmetric free-vibration problems by boundary element method, J. Appl. Mech. ASME 55 (1988) 437-442.
14. [14] H.C. Wang and P.K. Banerjee, Free vibration of axisymmetric solids by BEM using particular integrals, Int. J. Numer. Methods Engrg. 29 (1990) 985-1001.
15. [15] A.F. Seybert, B. Soenarko, F.J. Rizzo and D.J. Shippy, A special integral equation formulation for acoustic radiation and scattering for axisymmetric bodies and boundary conditions, J. Acoust. Soc. Am. 80 (1986) 1241-1247.
16. [16] B. Soenarko, A boundary element formulation for radiation of acoustic waves from axisymmetric bodies with arbitrary conditions, J. Acoust. Soc. Am. 93 (1993) 631-639.
17. [17] P. Juhl, An axisymmetric integral equation formulation for free space non-axisymmetric radiation and scattering of a known incident wave, J. Sound Vib. 163 (1993) 397-406.
18. [18] D.E Beskos, Boundary element methods in dynamic analysis, Part II (1986-1996), Appl. Mech. Rev. ASME 50 (1997) 149-197.
19. [19] A.H.W.M. Kuijpers, G. Verbeek and J.W. Verheij, An improved acoustic Fourier boundary method using Fast Fourier transform integration, J. Acoust. Soc. Am. 102 (1997) 1394-1401.
20. [20] G. Ozkan and Y. Mengi, One the use of FT algorithm for the circumferential co-ordinate in boundary element formulation of axisymmetric problems, Int. J. Numer. Methods Engrg. 40 (1997) 2385-2415.
21. [21] J.W. Cooley and J.W. Tukey, An algorithm for the machine calculation of complex Fourier series, Math. Comput. 19 (1965) 297-301.
22. [22] M. Guiggiani, Computing principal-value integrals in 3-D BEM for time-harmonic elastodynamics - a direct approach, Comm. Appl. Numer. Methods 8 (1992) 141-149.
23. [23] O. Huber, A. Lang and G. Kuhn, Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals, Comput. Mech. 12 (1993) 39-50.
24. [24] G.D. Manolis and D.E. Beskos, Boundary Element Methods in Elastodynamics (Unwin-Hyman, London, 1988).
25. [25] E.O. Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, NJ, 1974).
26. [26] IMSL, IMSL Math/Library User's Manual, Version 3.0 (Visual Numerics, Inc., Houston, Texas, 1994).
27. [27] W.H. Press, S.A. Teukolsky, W.T. Vetterling and B.P. Flannery, Numerical recipes in Fortran, 2nd edition (Cambridge University Press, Cambridge 1992).
28. [28] S. Bu, Infinite boundary elements for the dynamic analysis of machine foundations, Int. J. Numer. Methods Engrg. 40 (1997) 3901-3917.
29. [29] P.J. Schafbuch, R.B. Thompson and F.J. Rizzo, Application of the boundary element method to elastic wave scattering by irregular defects, J. Nondestr. Eval. 9 (1990) 113-127.
30. [30] J.L. Opsal and W.M. Visscher, Theory of elastic wave scattering: application of the method of optimal truncation, J. Appl. Phys. 58 1102-115 (1985).
31. [31] P.J. Schafbuch, F.J. Rizzo and R.B. Thompson, Boundary element method solutions for elastic wave scattering in 3D, Int. J. Numer. Methods Engrg. 36 (1993) 437-455.
32. [32] S. Ahmad, T.M. Al-Hussaini and K.L. Fishman, Investigation on active isolation of machine foundations by open trenches, J. Geotech. Engrg. 122 (1996) 454-461.