Vibration, Buckling and Deflection Analysis of Cracked Thin Magneto Electro Elastic Plate Under Thermal Environment

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Soni Shashank; JAIN N.K.; Joshi P.V.

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Journal Paper

Paper Information

Journal: JOURNAL OF SOLID MECHANICS Year:2019 | Volume:11 | Issue:2 Page(s): 454-474

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Title

Vibration, Buckling and Deflection Analysis of Cracked Thin Magneto Electro Elastic Plate Under Thermal Environment

Author(s)

Soni Shashank | JAIN N.K. | Joshi P.V. | Issue Writer Certificate

Keywords

Vibration

Buckling

Temperature

Crack

Magneto-electroelastic plate

Abstract

The Magneto-Electro-Elastic (MEE) material exhibits pyroelectric and pyromagnetic effects under thermal environment. The effects of such pyroelectric and pyromagnetic behavior on Vibration, Buckling and deflection analysis of partially Cracked thin MEE plate is presented and discussed in this paper. The aim of the study is to develop an analytical model for the Vibration and geometrically linear thermal Buckling analysis of Cracked MEE plate based on the classical plate theory (CPT). The line spring model (LSM) is modified for the Crack terms to accommodate the effect of electric and magnetic field rigidities, whereas the effect of thermal environment is accommodated in the form of thermal moment and in-plane forces. A classical relation for thermal Buckling phenomenon of Cracked MEE plate is also proposed. The governing equation for Cracked MEE plate has also been solved to get central deflection which shows an important phenomenon of shift in primary resonance due to Crack and Temperature rise. The results evaluated for natural frequencies as affected by Crack length, plate aspect ratio and critical Buckling Temperature are presented for first four modes of Vibration. The obtained results reveal that the fundamental frequency of the Cracked plate decreases with increase in Temperature and Crack length. Furthermore the variation of the critical Buckling Temperature with plate aspect ratio and Crack length is also established for different modes of Vibration.

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APA: Copy

Soni, Shashank, JAIN, N.K., & Joshi, P.V.. (2019). Vibration, Buckling and Deflection Analysis of Cracked Thin Magneto Electro Elastic Plate Under Thermal Environment. JOURNAL OF SOLID MECHANICS, 11(2), 454-474. SID. https://sid.ir/paper/319617/en

Vancouver: Copy

Soni Shashank, JAIN N.K., Joshi P.V.. Vibration, Buckling and Deflection Analysis of Cracked Thin Magneto Electro Elastic Plate Under Thermal Environment. JOURNAL OF SOLID MECHANICS[Internet]. 2019;11(2):454-474. Available from: https://sid.ir/paper/319617/en

IEEE: Copy

Shashank Soni, N.K. JAIN, and P.V. Joshi, “Vibration, Buckling and Deflection Analysis of Cracked Thin Magneto Electro Elastic Plate Under Thermal Environment,” JOURNAL OF SOLID MECHANICS, vol. 11, no. 2, pp. 454–474, 2019, [Online]. Available: https://sid.ir/paper/319617/en

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