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Vibration Analysis of Sandwich Beams Using 3-Noded Beam Element

Mohd. Anas, M. Naushad Alam, N. Ahmad Siddiqui

Abstract


One-dimensional 3-noded finite element model is developed in this paper for the vibrational analysis of composite sandwich beam for various boundary conditions, using the efficient layer wise zigzag theory. To come across the convergence necessities for the weak integral formulation, fifth power Hermite interpolation is utilized for the transverse displacement and quadratic interpolation is utilized for the axial displacement and shear rotation. Element every node has four degrees of freedom. The formulation is validated by comparing the results of the two dimensional finite element (2D-FE) for the simply supported beam. The present zigzag finite element results for natural frequencies and mode shapes of the beam are obtained with one-dimensional finite element (1D-FE) codes developed in MATLAB. These 1D-FE results for the beams are compared with the 2D-FE results, to show the accuracy of the developed MATLAB code of 1D zigzag theory. This comparison establishes the accuracy of zigzag finite element analysis for natural frequencies of the sandwich laminated beams, and helps to obtain natural frequencies of fixed beam and cantilever beam, which are not available.

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References


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DOI: https://doi.org/10.37628/jsmfe.v2i2.58

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