A symmetric and positive definite bem for 2-D forced vibrations

Journal of Sound and Vibration

Volumn 206, Issue 4, 1997, Pages 611-617

  Davi G ^a   Milazzo, A ^a  

^a UNIVERSITY OF PALERMO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; DIFFERENTIAL EQUATIONS; INTEGRATION; MATHEMATICAL MODELS; PROBLEM SOLVING; STIFFNESS MATRIX; TIME DOMAIN ANALYSIS;

ELASTODYNAMICS; MASS MATRIX;

VIBRATIONS (MECHANICAL);

EID: 0031549535     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1062     Document Type: Editorial

References (18)

1. D. E. BESKOS 1987 Applied Mechanics Reviews 40, 1-23. Boundary element methods in dynamic analysis.
2. D. E. BESKOS 1997 Applied Mechanics Reviews 50, 149-197. Boundary element methods in dynamic analysis: part II (1986-1996).
3. T. A. CRUSE and F. J. RIZZO 1968 Journal of Mathematical Analysis and Application 22, 244-259. A direct formulation and numerical solution of the general transient elastodynamic problem.
4. J. DOMINGUEZ and E. ALARCON 1981 Progress in Boundary Element Methods 1, London: Pentech Press. See chapter 7, Elastodynamics.
5. R. GALLEGO and J. DOMINGUEZ 1994 Boundary Element Communications 5, 171-180. A two dimensional boundary element code for time domain formulations using quadratic elements, II: transient elastodynamic problems.
6. G. K. K. WONG and J. R. HUTCHINSON 1981 Boundary Element Methods, Berlin: Springer-Verlag. See pp. 272-289, An improved boundary element method for plate vibration.
7. G. BEZINE 1980 Mechanics Research Communications 7, 141-150. A mixed boundary integral finite element approach to plate vibration problems.
8. M. TANAKA, K. YAMAGIWA, K. MIYAZAKY and T. UEDA 1988 Engineering Analysis with Boundary Elements 5, 182-188. Free vibration analysis of elastic plate structures by boundary element method.
9. J. T. KATSIKADELIS 1990 Journal of Sound and Vibration 141, 313-322. A boundary element solution to the vibration problem of plates.
10. C. P. PROVIDAKIS and D. E. BESKOS 1989 International Journal for Numerical Methods in Engineering 28, 1977-1994. Free and forced vibrations of plates by boundary and interior elements.
11. D. NARDINI and C. A. BREBBIA 1982 Proceedings of the 4th International Seminar on BEM, Southampton, 312-326. A new approach to free vibration analysis using boundary elements.
12. D. NARDINI and C. A. BREBBIA 1985 Topics in Boundary Element Research, Berlin and New York: Springer-Verlag. See chapter 7, Boundary integral formulation of mass matrices for dynamics analysis.
13. P. W. PARTRIDGE and C. A. BREBBIA 1991 The Dual Reciprocity Boundary Element Method. Southampton: Computational Mechanics Publications.
14. J. AGNANTIARIS, D. POLYZOS and D. E. BESKOS 1995 Proceedings of the IABEM 95 Conference, Hawaii, 2890-2896. Some studies on dual reciprocity BEM for elastodynamic analysis.
15. T. G. B. DEFIGUEREDO and C. A. BREBBIA 1989 Proceedings of the 11th International Conference on BEM, Cambridge, USA, 47-57. A new hybrid displacement variational formulation of BEM for elastostatics.
16. N. A. DUMONT and R. dE OLIVEIRA 1995 Proceedings of the IABEM 95 Conference, Hawaii, 3068-3073. On the determination of approximate frequency-dependent mass matrices in the hybrid boundary element method.
17. G. DAVÌ 1992 Engineering Analysis with Boundary Elements 10, 219-224. A hybrid displacement variational formulation of BEM for elastostatics.
18. G. DAVÌ and A. MILAZZO 1994 Engineering Analysis with Boundary Elements 14, 343-348. A symmetric and positive definite variational BEM for 2-D free vibration analysis.