Vibration analysis of FG-GPLRC annular plate in a thermal environment

Abstract

In this article, the thermal vibration of functionally graded graphene platelets reinforced composite (FG-GPLRC) annular plate resting on an elastic foundation under the mechanical load framework of higher order shear deformation theory (HSDT) is analyzed. Governing equations and boundary conditions are established by employing Hamilton’s principle. A generalized differential quadrature method (GDQM) is applied to obtain a numerical solution. Numerical results are compared with those published in the literature to examine the accuracy and validity of the applied approach. A comprehensive parametric study is accomplished to reveal the influence of stiffness of the substrate, patterns of temperature rise, temperature gradient, axial load, weight fraction and distribution patterns of GPLs, outer radius to inner radius ratio, inner radius to thickness ratio of the annular plate, and geometric dimensions of GPLs on the response of the structure. The results revealed that applying sinusoidal temperature rise and locating more square-shaped GPLs in the vicinity of the top and bottom surface result in the highest natural frequency.

Keywords:

• Thermal environment
• vibration
• annular plate
• graphene platelets
• generalized differential quadrature method

Acknowledgment

The first batch of teaching reform projects of Zhejiang higher education during the 13th five year plan (No. jg20180724); Zhejiang soft science research program (No. 2019C35050).