Dynamic analysis of composite beams with weakshear connection subjected to an axial load

Abstract

The paper provides a new analytical method for determining the eigenfrequences of composite beams with interlayer slip provided that the beam is subjected to an axial load. Application of the d'Alembert principle yields the equations of motion. The axial and rotary inertia are taken into account. This formulation leads to a general eigenvalue problem whose solution is illustrated by a numerical example.

Analytical Solution for the Two-Layered Composite Beam-Column with Interlayer Slip and Constant Axial Load

“…In paper [2] the Euler-Bernoulli beam theory was utilized to describe the static behavior of composite beams with interlayer slip. Since then, a lot of papers, studies [4,6,7,8,10,11,12,13,14,15,16] have dealt with the problem of layered beams with partial shear interaction based on the results of Newmark et al [2]. Paper by Ecsedi and Baksa [5] presents a slip-cross-sectional rotational formulation to obtain the deflection, slip, cross-sectional rotation and internal forces in shear deformable composite beam with imperfect shear connection.…”