Stiffness Matrix for Exact Solution of Sandwich Beam and Frame Systems
Publication: Journal of Structural Engineering
Volume 119, Issue 4
Abstract
This paper formulates the stiffness matrix and a procedure for the analysis of a general class of sandwich beam and frame structures subjected to arbitrary loading and boundary conditions. The computed solutions for both deflections and stresses are exact in the sense that they satisfy the governing differential equation, all boundary conditions, and interelement compatibility. Explicit expressions are given for the formulation of the stiffness matrix, and of the fixedend forces for common loading conditions. The theory is applicable to sandwich construction of both thick and thin facings, with or without edge reinforcement. Preliminary study of the behavior of sandwich beams using the developed theory shows that the Saint Venant principle may not apply to sandwich beams regarding the effects of applied end moments. Restraint against shear deformations will generally reduce deflections and shear stresses in the core, but tend to increase stresses in the facings. Quantitative assessment of these and other factors can be easily carried out with the present theory.
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References
1.
Allen, H. G. (1969). Analysis and design of structural sandwich panels. Pergamon, Oxford, England.
2.
Bert, C. W. (1984). “A critical evaluation of new plate theories applied to laminated composites.” Composite Struct., 2, 329–347.
3.
Bert, C. W., and Francis, P. H. (1974). “Composite material mechanics: structural mechanics.” AIAA J., 12, 1173–1186.
4.
Betancourt‐Angel, F. 1972). “Bending of sandwich beams and columns,” Master of Engineering thesis, McMaster University, Hamilton, Ontario, Canada.
5.
Ha, K. H. (1990). “Finite element analysis of sandwich plates: an overview.” Computers & Struct., 37(4), 397–403.
6.
Ha, K. H. (1990). “C‐MAP: a high‐level language for engineering analysis and design.” Microcomputers in Civ. Engrg., 5, 307–326.
7.
Habip, L. M. (1964). “A review of recent Russian work on sandwich structures.” Int. J. Mech. Sci., 6, 483–487.
8.
Habip, L. M. (1965). “A survey on modern developments in the analysis of sandwich structures.” Appl. Mech. Rev., 18, 93–98.
9.
Hartsock, J. A. (1969). Design of foam‐filled structures. Technomic Publishing Co., Stamford, Conn.
10.
Hartsock, J. A., and Chong, K. P. (1976). “Analysis of sandwich panels with formed faces.” J. Struct. Engrg. Div., ASCE, 102(4), 803–819.
11.
Hoff, N. A. (1956). The analysis of structures. John Wiley and Sons, London, England.
12.
Plantema, F. J. (1966). Sandwich construction. John Wiley and Sons, New York, N.Y.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 119 • Issue 4 • April 1993
Pages: 1150 - 1167
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Jul 28, 1991
Published online: Apr 1, 1993
Published in print: Apr 1993
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