Dynamic response of complex structural intersections using hybrid methods

Journal of Applied Mechanics, Transactions ASME

Volumn 66, Issue 3, 1999, Pages 653-659

  Halliday, P J ^a   Grosh, K ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; DEFORMATION; DYNAMIC RESPONSE; ELASTICITY; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; VARIATIONAL TECHNIQUES;

LINEAR ELASTODYNAMICS; REDUCED ORDER THEORY;

STRUCTURAL ANALYSIS;

EID: 0033187587     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2791518     Document Type: Article

References (18)

1. Bathe, K. J., 1996, Finite Element Procedures, Prentice-Hall, Englewood Cliffs, NJ.
2. Chen, Y. H., 1987, “General Dynamic-Stiffness Matrix of a Timoshenko Beam for Transverse Vibrations,”Earthquake Engineering and Structural Dynamics, Vol. 15, pp. 391-402.
3. Doyle, J. F., and Farris, T. N., 1990, “A Spectrally Formulated Element for Wave Propagation in 3-D Frame Structures,”The International Journal of Analytical and Experimental Modal Analysis, Vol. 5, No. 4, pp. 223-237.
4. Giles, G. L., and Norwood, K., 1994, “Coupling Equivalent Plate and Finite Element Formulations in Multiple Method Structural Analyses,”Journal of Aircraft, Vol. 31, No. 5, pp. 1189-1196.
5. Gmur, T. C., and Kauten, R. H., 1993, "Three-Dimensional Solid-to-Beam Transition Elements for Structural Dynamics Analysis,”International Journal for Numerical Methods in Engineering, Vol. 36, pp. 1429-1444.
6. Gopalakrishnan, S., and Doyle, J. F., 1995, “Spectral Super-Elements for Wave Propagation in Structures With Local Non-uniformities,”Computer Methods in Applied Mechanics and Engineering, Vol. 121, pp. 77-90.
7. Gopalakrishnan, S., Martin, M., and Doyle, J. F., 1992, “A Matrix Methodology for Spectral Analysis of Wave Propagation in Multiple Connected Timoshenko Beams,”Journal of Sound and Vibration, Vol. 158, No. 1, pp. 11-24.
8. Graff, K. F., 1991, Wave Motion in Elastic Solids, Dover, New York.
9. Hughes, T. J. R., 1987, The Finite Element Method, Prentice-Hall, Englewood Cliffs, NJ.
10. Jones, R. E., 1964, “A Generalization of the Direct-Stiffness Method of Structural Analysis,”American Institute of Aeronautics and Astronautics, Vol. 2, No. 5, pp. 821-826.
11. Kim, H. S., and Hong, S. M., 1995, “Formulation of Transition Elements for the Analysis of Coupled Wall Structures,”Computers and Structures, Vol. 57, pp. 333-344.
12. Lunden, R., and Akesson, B., 1983, “Damped Second-Order Rayleigh-Timoshenko Beam Vibration in Space-an Exact Complex Dynamic Member Stiffness Matrix,”International Journal for Numerical Methods in Engineering, Vol. 19, pp. 431-449.
13. Mang, H. A., and Gallagher, R. H., 1977, “A Critical Assessment of the Simplified Hybrid Displacement Method,”International Journal for Numerical Methods in Engineering, Vol. 11, pp. 145-167.
14. Pestei, E. C., and Leckie, F. A., 1963, Matrix Methods in Elastomechanics, McGraw-Hill, New York.
15. Surana, K. S., 1979, “Isoparametric Elements for Cross-Sectional Properties and Stress Analysis of Beams,”International Journal for Numerical Methods in Engineering, Vol. 14, pp. 475-497.
16. Surana, K. S., 1980, “Shape Functions for the Isoparametric Transition Elements for Cross-Sectional Properties and Stress Analysis of Beams,”InternationaI Journal for Numerical Methods in Engineering, Vol. 15, pp. 1403-1407.
17. Wang, T. M., and Kinsman, T. A., 1970, “Vibrations of Frame Structures According to the Timoshenko Theory,”Journal of Sound and Vibration, Vol. 14, pp. 215-227.
18. Zienkiewicz, O. C., and Taylor, R. L., 1989, The Finite Element Method, McGraw-Hill, New York.