Vol. 16, No. 3, 2021

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Axisymmetric vibration analysis of graded porous Mindlin circular plates subjected to thermal environment

Qing-Lu Li, Xin Yan and Jing-Hua Zhang

Vol. 16 (2021), No. 3, 371–388
Abstract

We study the thermal vibration characteristics of graded porous Mindlin circular plates using the differential quadrature method and Hamilton’s principle. It is assumed that the performance of gradient porous materials varies continuously in the whole thickness and the plates have uniform and non-uniform porosity distributions across their thickness. Based on the Hamilton’s principle, the free vibration equation of the axisymmetric graded porous circular plates was derived in terms of the middle surface angles of rotation and lateral displacement. Then, using the DQ method to solve the coupled ordinary differential equations with different boundary conditions, the natural frequencies of graded porous Mindlin circular plates were obtained numerically. The effects of various factors such as porosity distribution pattern, porosity coefficient, temperature rise and boundary conditions on the natural frequencies are discussed.

Keywords
graded porous materials, Mindlin circular plate, free vibration, frequency, differential quadrature method, DQM
Milestones
Received: 21 September 2020
Revised: 18 December 2020
Accepted: 28 February 2021
Published: 10 August 2021
Authors
Qing-Lu Li
Department of Engineering Mechanics
Lanzhou University of Technology
Lanzhou, 730050
China
Department of Engineering Mechanics, Lanzhou University of Technology, Lanzhou, Gansu 730050, P. R. China
Xin Yan
Department of Engineering Mechanics
Lanzhou University of Technology
Lanzhou, 730050
China
Jing-Hua Zhang
Department of Engineering Mechanics
Lanzhou University of Technology
Lanzhou, 730050
China