Temperature Dependent Natural Modes for Sigmoidal Functionally Graded Conical Shell

Abstract

The present study captures the effect of temperature on the natural modes of functionally graded (FG) conical shell using finite element method. The prime goal is to find the effects of temperature, twist angle, rotational speed and the influence of constituent volume fractions on the natural modes with sigmoidal variation law of the functionally graded material (FGM). The natural frequencies along with the mode shape considering different configurations of the constituent materials for sigmoidal law of FGM have been analyzed under varied thermal environment. Finite element based computer codes are developed for numerical simulation of the effects of temperature on the natural modes of rotating functionally graded conical shells with or without twist. The natural frequencies are obtained by solving the standard eigen value problem. Mesh sensitivity analysis are performed to get the converged mesh sizes. The proposed solutions are also compared with the already published result to validate the correctness of the present process. Temperature variations have significant effect in natural frequencies and mode shapes which has been analyzed and captured in this study. The temperature dependent parametric study of the natural frequencies and mode shapes for different twist angle along with non-twisted with rotational effect are analyzed and presented.