Journal ArticleDOI
Flexural vibrations of elastic composite beams with interlayer slip
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TLDR
In this paper, the authors analyzed the dynamic flexural behavior of elastic two-layer beams with interlayer slip, where the Bernoulli-Euler hypothesis is assumed to hold for each layer separately and a linear constitutive equation between the horizontal slip and the interlaminar shear force is considered.Abstract:
The objective of the present paper is to analyze the dynamic flexural behavior of elastic two-layer beams with interlayer slip. The Bernoulli-Euler hypothesis is assumed to hold for each layer separately, and a linear constitutive equation between the horizontal slip and the interlaminar shear force is considered. The governing sixth-order initial-boundary value problem is solved by separating the dynamic response in a quasistatic and in a complementary dynamic response. The quasistatic portion that may also contain singularities or discontinuities due to sudden load changes is determined in a closed form. The remaining complementary dynamic part is non-singular and can be approximated by a truncated modal series of fast accelerated convergence. The solution of the resulting generalized decoupled single-degree-of-freedom oscillators is given by means of Duhamel,s convolution integral, whereby the velocity and acceleration of the loads are the driving terms. Light damping is considered via modal damping coefficients. The proposed procedure is illustrated for dynamically loaded layered single-span beams with interlayer slip, and the improvement in comparison to the classical modal analysis is demonstrated.read more
Citations
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Journal ArticleDOI
Derivation of the exact stiffness matrix for a two-layer Timoshenko beam element with partial interaction
TL;DR: In this article, the full closed-form solution of the governing equations describing the behavior of a shear-deformable two-layer beam with partial interaction is presented. But the effect of possible transversal separation of the two members has been neglected.
Journal ArticleDOI
Free vibrations of the partial-interaction composite members with axial force
TL;DR: In this article, the governing differential equations of motion were derived for the partial-interaction composite members with axial force and the solutions of free vibrations were presented under common boundary conditions, and an exact analytical solution for a simply supported case is obtained if the slip at the interface of the composite member is ignored, both the equations and the solution can degenerate to those corresponding to the elementary beam theory as they should be.
Journal ArticleDOI
The effect of transverse shear deformation on the buckling of two-layer composite columns with interlayer slip
Simon Schnabl,Igor Planinc +1 more
TL;DR: In this article, the authors presented an efficient mathematical model for studying the buckling behavior of geometrically perfect elastic two-layer composite columns with interlayer slip between the layers.
Journal ArticleDOI
Exact finite element model for shear-deformable two-layer beams with discrete shear connection
TL;DR: In this article, an exact finite element model for the linear static analysis of shear-deformable two-layer beams with interlayer slip is presented, where the layers are connected in a discontinuous way and therefore the shear connection is modeled using concentrated spring elements at each connector location.
Journal ArticleDOI
Variational principle of partial-interaction composite beams using Timoshenko's beam theory
Rongqiao Xu,Guannan Wang +1 more
TL;DR: Based on the kinematic assumptions of Timoshenko's beam theory, the principle of virtual work and reciprocal theorem of work for the partial-interaction composite beams were derived and proved in this article.
References
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