Abstract
The present work explains the influence of functionally graded material on parametric instability of skew plate in high thermal environments subjected to periodic loads. The graded material properties and temperature distribution are varied using power law. The basic kinematics of third-order shear deformation hypothesis is adopted to analyze the plate to be established in a finite element using quadrangular elements and these are updated into skew plate geometry by applying an appropriate transformation rule. A four-noded rectangular element is employed to create the work for finite element study of the instability regions of the skew plate in the parametric space by using Bolton’s approach. Difference between the results of the current numerical solution for finite element approach and the results of literature are plotted. The effects of temperature difference, index of power law, and skew angle of FGM plate parametric instability discussed in detail.
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References
Bolotin VV (1962) The dynamic stability of elastic systems volume I, report, Aerospace Corporation, EI Segundo, California
Nair PS, Durvasula S (1973) Vibration of Skew plates. J Sound Vib 26(1):1–19
Eftekhari SA, Jafari AA (2013) Modified mixed Ritz-DQ formulation for free vibration of thick rectangular and skew plates with general boundary conditions. Appl Math Model 37:12–13
Wang X, Wang Y, Yuan Z (2014) Accurate vibration analysis of skew plates by the new version of the differential quadrature method. Appl Math Model 38:926–937
Srinivasa CV, Suresh YJ, Prema Kumar WP (2014) Experimental and finite element studies on free vibration of skew plates. Int J Adv Struct Eng 6(48):1–11
Reddy N, Chin CD (1998) Thermo-mechanical analysis of functionally graded cylinders and plates. J Therm Stress 21:593–626
Talha M, Singh BN (2010) Static response and free vibration analysis of FGM plates using higher order shear deformation theory. Appl Math Model 34:3991–4011
Kim YW (2005) Temperature dependent vibration analysis of functionally graded rectangular plates. J Sound Vib 284:531–549
Talha M, Singh BN (2011) Thermo-mechanical induced vibration characteristics of shear deformable functionally graded ceramic–metal plates using the finite element method, Proceedings of the Institution of Mechanical Engineers, Part C: J Mech Eng Sci 225:50–65
Ramu I, Mohanty SC (2014) Modal analysis of functionally graded material plates using finite element method, 3rd international conference material processing and characterization, Hyderabad, India, Procedia Mater Sci 6:460–467
Ramu I (2015) On the dynamic stability of functionally graded material plates under parametric excitation. National Institute of Technology, Rourkela, India
Ramu I, Seshu KVGR, Venu M (2018) Natural frequency of skew FGM plates using finite element method, IOP Conf. Series: Mater Sci Eng 455:012024
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Ramu, I., Raghuraman, M., Venu, M. (2020). Influence of FGM on the Parametric Instability of Skew Plates in Thermal Environment. In: Deepak, B., Parhi, D., Jena, P. (eds) Innovative Product Design and Intelligent Manufacturing Systems. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-2696-1_52
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DOI: https://doi.org/10.1007/978-981-15-2696-1_52
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