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Finite Element Modelling and Analysis of Free Vibration of a Square Plate with Side Crack

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Abstract

This paper investigates the free vibration of square plate with side through crack at different angle for six different edge conditions. The six edge conditions are simply supported (SSSS), free (FFFF), Clamped (CCCC), clamped-simply supported (CCSS), clamped-free (CCFF) and simply supported-clamped-free (SCSF). Finite element method has been carried out for the formulation of the cracked plate based on Mindlin plate theory that take into account the shear deformation and rotary inertia. Effect of crack length, orientation of crack and edge conditions on natural frequencies of plate are analysed. Some results obtained in this paper are compared with the published results for SSSS and FFFF edge conditions. Very good agreement between results is observed. Most of the vibration data of side cracked plate for CCCC, CCSS, CCFF and SCSF are new and not reported in literature. These data are important in analysing the frequency based crack detection in plated structure.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Indian School of Mines, Dhanbad, 826004, India

    Mohammad Sikandar Azam, Vinayak Ranjan & Bipin Kumar

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  1. Mohammad Sikandar Azam
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  2. Vinayak Ranjan
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  3. Bipin Kumar
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Correspondence to Vinayak Ranjan.

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Azam, M.S., Ranjan, V. & Kumar, B. Finite Element Modelling and Analysis of Free Vibration of a Square Plate with Side Crack. Differ Equ Dyn Syst 29, 299–311 (2021). https://doi.org/10.1007/s12591-015-0241-2

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  • DOI: https://doi.org/10.1007/s12591-015-0241-2

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