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Vibration analysis of functionally graded porous plates resting on Kerr elastic foundations
Authors: N. V. Long · T. M. Tu , L. T. Hai, Thuc.PX
157    0
Proceedings of the 1st Conference on Advances in Civil Engineering (ICACE 2022)
: 1     : 1-10
Publishing year: 11/2022
Abstract. This paper presents the free vibration analysis of functionally graded porous materials (FGPMs) plates, in the framework of classical plate theory (CPT). The plate is rested on Keer’s elastic foundation with the three-parameter elastic model. Functional graded porous material, in particular, open-cell metal foam with porosities that vary smoothly along thickness direction according to three porosity distribution patterns: uniform, nonuniform symmetric and nonuniform asymmetric are considered. Based on Hamilton’s principle, the equations of motion are derived. The numerical examples are performed and compared with those available in the literature to show the accuracy of the present results. The effect of porosity coefficient, porosity distribution patterns, geometrical and Kerr elastic foundation parameters on natural frequencies are investigated.
Keywords: Vibration analysis, functionally graded porous plate, classical plate theory, Kerr elastic foundations..