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Analysis of Layered Composite Beam with Imperfect Shear Connection by Means of Energy Method

István Ecsedi(1), Ákos József Lengyel(2*)

(1) Institute of Applied Mechanics, University of Miskolc, Hungary
(2) Institute of Applied Mechanics, University of Miskolc, Hungary
(*) Corresponding author


DOI: https://doi.org/10.15866/irea.v6i2.14653

Abstract


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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Keywords


Potential Energy; Complementary Energy; Reciprocity Relations; Ritz Method; Composite Beam; Interlayer Slip

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References


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