New algorithms for transient plate bending analysis by BEM

Engineering Analysis with Boundary Elements

Volumn 17, Issue 2 SPEC. ISS., 1996, Pages 175-180

  Qin, Qing Hua ^a,b  

^a TSINGHUA UNIVERSITY   (China)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Algorithm; Boundary element method; Plate bending

Indexed keywords

BENDING (DEFORMATION); BOUNDARY ELEMENT METHOD; DAMPING; DIFFERENTIATION (CALCULUS); LAGRANGE MULTIPLIERS; NUMERICAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; PLATES (STRUCTURAL COMPONENTS); POLYNOMIALS;

EQUILIBRIUM EQUATION; ISOTROPIC PLATE; LAGRANGIAN POLYNOMIALS; TIME INDEPENDENT BOUNDARY ELEMENT FORMULATION; TRANSIENT PLATE BENDING;

ALGORITHMS;

EID: 0030102220     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/0955-7997(96)00013-6     Document Type: Article

References (10)

1. Cruse, T. A. & Rizzo, F.S. A direct formulation and numerical solution of the general transient elastodynamic problem. Int. J. Math. Anal. Appl., 1968, 22, 244-259.
2. Manolis, G. D. & Beskos, D. E. Dynamic stress concentration studies by boundary integral and Laplace transform. Int. J. Numer. Meth. Engng, 1981, 17, 573-599.
3. Manolis, G. D. & Beskos, D. E. Boundary Element Methods in Elastodynamics. London, Unwin Hyman, 1988.
4. Katsikadelis, J. T., Nerantzaki, M. S. & Kandilas, C. B. A BEM approach to nonlinear vibrations of plates. In Structural Dynamics - Proc. of the Second European Conference on Structural Dynamics, Eurodyn '93, ed. T. Moan et al. Balkema, Rotterdam, 1993, pp. 659-671.
5. Yin, J. J., Ji, X. & Zheng, G. Y. Boundary element method for two-dimensional transient elastodynamics. In Boundary Elements, ed. Q. H. Du. Pergamon Press, 1986, pp. 461-468.
6. Lambert, J. D. Computational Methods in Ordinary Differential Equations. John Wiley, London, 1973.
7. Qin, Q. H. Nonlinear analysis of Reissner plates on an elastic foundation by the BEM. Int. J. Solids Structures, 1993, 30, 3101-3111.
8. Qin, Q. H. Hybrid-Trefftz finite element approach for plate bending on an elastic foundation. Appl. Math. Modelling, 1994, 18, 334-339.
9. Rock, T. & Hinton, E. Free vibration and transient response of thick and thin plates using the finite element method. Earthquake Engng Struct. Dynam., 1974, 3, 51-63.
10. Akay, H. U. Dynamic large deflection analysis of plates using mixed finite elements. Computers Structures, 1990, 11, 1-11.