Analysis of Layered Composite Beam with Imperfect Shear Connection by Means of Energy Method
This paper formulates the principle of minimum of potential energy and principle of minimum of complementary energy for two-layer composite beams with deformable shear connection. The variational priciples formulated will be applied to determine the deflection, slip and internal forces in layered composite beams with non-perfect shear connection. The paper presents a derivation of the Rayleigh-Betti reciprocity relation for Euler-Bernoulli two-layer composite beams with interlayer slip. Applications of the derived reciprocity relation is illustrated by several examples. By the use of Ritz method for the cases of the presented two variational principles some examples are solved and numerical results obtained are compared.
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N. M. Newmark, C. P. Siess, I. M. Viest, Test and analysis of composite beams with incomplete interaction, Proceedings of the Society of Experimental Stress Analysis, Vol. 9, n. 1, pp. 75-92, 1951.
H. Granholm, On composite beams and columns with particular regard to nailed timber structures, (Transactions No. 88., Chalmers Technical University, Göteborg, 1949).
P. F. Pleskov, Theoretical Studies of Composite Wood Structures, (Soviet Union, 1952, in Russian).
F. Stüssi, Zusammengesetzte Vollwandträger, IABSE Publications, Vol. 8, pp. 249-269, 1947.
J. R. Goodman, Layered wood system with interlayer slip, Ph.D. thesis, University of California, Berkley, CA, 1967.
J. R. Goodman, E. P. Popov, Layered beam systems with interlayer slip, Journal of the Structural Division, Proceedings of the American Society of Civil Engineers (ASCE), Vol. 94, n. 11, pp. 2535-2548, 1968.
E. G. Thomson, J. R. Goodman, M. D. Vanderbilt, Finite element analysis of layered wood systems, Journal of the Structural Division, Vol. 101, n. 12, pp. 2659-2672, 1975.
G. Ranzi, M. A. Bradford, B. Uy, A direct stiffness analysis of composite beam with partial interaction, International Journal for Numerical Methods in Engineering, Vol. 61, n. 5, pp. 657-672, 2004.
A. Ayoub, A two-field mixed variational principle for partially connected composite beams, Finite Elements in Analysis and Design, Vol. 37, n. 11, pp. 929-959, 2001.
A. Dall’Asta, A. Zona, Slip locking in finite elements for composite beams with deformable shear connection, Finite Elements in Analysis and Design, Vol. 40, n. 13-14, pp. 1907-1930, 2004.
C. Faella, E. Martinelli, E. Nigro, Steel and concrete composite beams with flexible shear connection: “Exact” analytical expression of the stiffness matrix and applications, Computers and Structures, Vol. 80, n. 11, pp. 1001-1009, 2002.
U. A. Girhammar, V. K. A. Gopu, Composite beam-columns with interlayer slip – exact analysis, Journal of Structural Engineering, Vol. 119, n. 4, pp. 1265-1282, 1993.
U. A. Girhammar, D. Pan, Exact static analysis of partially composite beams and beam-columns, International Journal of Mechanical Sciences, Vol. 49, n. 2, pp. 239-255, 2007.
U. A. Girhammar, A simplified analysis method for composite beams with interlayer slip, International Journal of Mechanical Sciences, Vol. 51, n. 7, pp. 515-530, 2009.
I. Ecsedi, A. Baksa, Static analysis of composite beams with weak shear connection, Applied Mathematical Modelling, Vol. 35, n. 4, pp. 1739-1750, 2011.
Lengyel, Á., Ecsedi, I., An Analytical Solution for Two-Layered Composite Beams with Imperfect Shear Interaction, (2016) International Review of Mechanical Engineering (IREME), 10 (7), pp. 508-517.
R. Xu, D. Chen, Variational principles of partial-interaction composite beams, Journal of Engineering Mechanics, Vol. 138, n. 5, pp. 542-551, 2012.
H. Murakami, A laminated beam theory with interlayer slip, Journal of Applied Mechanics, Transactions ASME, Vol. 51, n. 3, pp. 551-559, 1984.
S. Schnabl, M. Saje, G. Turk, I. Planinc, Locking-free two-layer Timoshenko beam element with interlayer slip, Finite Elements in Analysis and Design, Vol. 43, n. 9, pp. 705-714, 2007.
S. Schnabl, M. Saje, G. Turk, I. Planinc, Analytical solution of two-layer beam taking into account interlayer slip and shear deformation, Journal of Structural Engineering (ASCE), Vol. 133, n. 6, pp. 886-894, 2007.
X. Lin, X. Y. Zhang, A novel one-dimensional two-node shear-flexible layered composite beam element, Finite Elements in Analysis and Design, Vol. 47, n. 7, pp. 676-682, 2011.
S. Jiang, X. Zeng, D. Zhou, Novel two-node linear composite beam element with both interface slip and shear deformation into consideration: Formulation and validation, International Journal of Mechanical Sciences, Vol. 85, n. 10, pp. 110-119, 2014.
Djeddi, F., Ghernouti, Y., Abdelaziz, Y., Experimental Investigation of FRP-Concrete Hybrid Beams, (2015) International Review of Civil Engineering (IRECE), 6 (6), pp. 151-155.
Mattar, I., FE Model for R.C Beams Strengthened/Retrofitted with FRP, (2015) International Review of Civil Engineering (IRECE), 6 (1), pp. 10-20.
Hashemi, S., Roach, A., A Dynamic Finite Element for Coupled Extensional-Torsional Vibration of Uniform Composite Thin-Walled Beams, (2016) International Review of Civil Engineering (IRECE), 7 (4), pp. 114-124.
K. Washizu, Variational Methods in Elasticity and Plasticity, (Pergamon, New York, 1968).
T. H. Richard, Energy Methods in Stress Analysis: With an Introduction to Finite Element Techniques, (Ellis Horwood, Chichester, 1977).
L. Elsgolts, Differential Equation and the Calculus of Variations, (Mir Publishers, Moscow, 1977).
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