2D closed form solution for bending of edge bonded dissimilar beams: An application of EKM

Kumar, Viwek; Kumari, Poonam

doi:10.1016/j.compstruct.2022.115420

Cited by 2 publications

(1 citation statement)

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“…So, predicting such structures' stress behavior under different support conditions is necessary. Very recently, Kumar and Kumari [42] has been developed a multisegmental beam model to analyze the effect of thickness and support conditions on the stresses and deformation at the interfaces for different metal-composite bonded models. Here, first time analytical solution for a multisegmented panel subjected to arbitrary boundary conditions is presented.…”

Section: Introductionmentioning

confidence: 99%

2‐D Analytical solutions for the multisegmented panel subjected to arbitrary boundary condition

Kumar

Kumari

2022

Z Angew Math Mech

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A closed-form bending solution of the multisegmented panels is presented for different support conditions. The panels can have multiple no. of segments along the x-axis with varying material properties. The governing equations are formulated using the extended Kantorovich method (EKM) in the mixed-form, and a set of ordinary differential equations have been obtained. The continuity of displacement and stresses are satisfied at the interface of each segment. The panels can have simply-support, clamp, and free types of support conditions. The panel interface at each segment along the x-axis is assumed to be perfectly bonded. In this work, the stress and deformation variations for four types of panel configuration have been studied. Two segmented panels having aluminum and Graphite-Epoxy with equal and unequal segments are considered. A foursegmented Al/SiC panel having gradual material variation is also analyzed. The effect of ply-angles on the longitudinal variables is also studied for the equal segmented Al/GrEp panel. The deflection and stresses are compared with the finite element solution and found in good agreement with the EKM results. The current development will lead to developing the solution for stepped panels, dissimilar plates, and more complex cases used in aerospace applications.

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Section: Introductionmentioning

confidence: 99%