Thermal Vibration Analysis of Moderately Thick FG Cylindrical Shell Reinforced with Graphene Nanoplatelets

Free vibrational behavior of a moderately thick FG cylindrical shell which is made of Epoxy reinforced GPLs is considered based on the FSDT in the currentstudy. The shell is in thermal environment and is rested on an elastic foundation which is simulated by Pasternak type. The GPLs are distributed in thethickness direction through three different functions namely linear, parabolic, and uniform. The Halpin-Tsai and rule of mixture methods are used to determine the effective properties of the shell. Hamilton’s principle and variational formulation are used to derive the motion equations and in the following they are solved analytically for simply supported ends condition via Navier’s technique. By validating the results for simpler states, the effect of different parameters such as GPLs content and weight fraction, distribution types, GPLs geometrics and so on, on the results are considered and discussed in details. The outcomes of this study may be used to design and manufacture more applicable engineering structures

Keywords:

Vibration analysis , Cylindrical shell , Graphene Nanoplatelets , Thermal environment , FSDT