Varied effects of shear correction on thermal vibration of functionally graded material shells

C.C Hong,Duc Pham

doi:10.1080/23311916.2014.938430

Abstract

AbstractThe effects of varied shear correction coefficient on the first-order transverse shear deformation result of functionally graded material (FGM) thick circular cylindrical shells under thermal vibration are investigated and computed by using the generalized differential quadrature method. The computed and varied values of shear correction coefficient are usually functions of FGM power law index and environment temperature. In the thermoelastic stress–strain relations, the simpler form stiffness of FGM shells under linear temperature rise is considered. The equation of shear correction coefficient is derived and obtained by using the total strain energy principle. Two parametric effects: environment temperature and FGM power law index on the thermal stress and center deflection of FGM thick circular cylindrical shells are obtained and investigated.

Highlights

There are some vibration researches of the functionally graded material (FGM) shells. Ebrahimi and Najafizadeh (2014) used the generalized differential quadrature (GDQ) and generalized integral quadrature methods to calculate the free vibration results for a two-dimensional FGM circular cylindrical shell with the Love’s first approximation classical shell theory
It is often convenient to use GDQ method to study the vibration of FGM shells
The actual and practical use of such FGM shells theoretical studies might be applied in the field of structure where the stress and deformation becomes sensitive when they undergo thermal vibration. It is interesting in this first-order shear deformation theory (FSDT) with the varied effects of shear correction coefficient of FGM thick circular cylindrical shells with four edges in supported boundary conditions, thermal stresses, and center deflection of GDQ computation are obtained

Summary

Introduction

There are some vibration researches of the functionally graded material (FGM) shells. Ebrahimi and Najafizadeh (2014) used the generalized differential quadrature (GDQ) and generalized integral quadrature methods to calculate the free vibration results for a two-dimensional FGM circular cylindrical shell with the Love’s first approximation classical shell theory. There are some vibration researches of the functionally graded material (FGM) shells. Ebrahimi and Najafizadeh (2014) used the generalized differential quadrature (GDQ) and generalized integral quadrature methods to calculate the free vibration results for a two-dimensional FGM circular cylindrical shell with the Love’s first approximation classical shell theory. It is often convenient to use GDQ method to study the vibration of FGM shells. Du, Li, and Jin (2014) used the Lagrangian theory and multiple scale method to investigate the forced vibration of infinitely long FGM cylindrical shells. Strozzi and Pellicano (2013) used the Sanders–Koiter theory to study the numerical non-linear vibrations of FGM circular cylindrical shells. The non-linear dynamic character of the shell geometry and material properties of FGM are studied in more detailed.

Public Interest Statement

Nθ R

FGMZ k

GDQ method

Conclusions