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Free Vibration Analysis of a Centre-Cracked Plate at Various Orientations through Finite Element Method

Amit Kumar Gupta, Jyoti Vimal, Vedansh Chaturvedi

Abstract


The free vibration analysis of square centre-cracked plate at various orientations is investigated using the finite element method. In this research, the effect of cracked orientation, variation in cracked length, and variation in thickness of the plate are investigated. Consideration for a variety of edge condition is given through a combination of simply supported, free boundary and clamped boundary condition and determined the mode shapes and natural frequency of a cracked plate. Cracks happening in structural elements of machinery cause a local decrease in the stiffness, and therefore, guide to a change in the modal parameters. The work is done with various parameters: crack orientation, crack length ratio and plate thickness. The natural frequency maximum at 45° at various boundary conditions, and frequency decreased with increasing crack length ratio and increased frequency with increasing plate of thickness.

Keywords


cracked plate, boundary condition, finite element method (FEM), natural frequency

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References


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