Nonlinear vibration of functionally graded material sandwich doubly curved shallow shells reinforced by FGM stiffeners. Part 2: Numerical results and discussion

Dang Thuy Dong, Dao Van Dung
Author affiliations

Authors

  • Dang Thuy Dong University of Transport Technology, Hanoi, Vietnam
  • Dao Van Dung VNU University of Science, Hanoi, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/9693

Keywords:

nonlinear vibration, FGM sandwich shallow shell, stiffener

Abstract

In part 1, the governing nonlinear dynamic equations of FGM sandwich doubly curved shallow shells reinforced by FGM stiffeners on elastic foundation subjected to mechanical and thermal loading are established based on the first order shear deformation theory (FSDT) with von Kármán - type nonlinearity and smeared stiffener technique. In the present part, the fourth-order Runge-Kutta method is applied to investigate influences of models of the shells, FGM stiffeners, thermal environment, elastic foundation, and geometrical parameters on the natural frequencies and dynamic nonlinear responses of stiffened FGM sandwich doubly curved shallow shells.

Downloads

Download data is not yet available.

References

D. T. Dong and D. V. Dung. Nonlinear vibration of functionally graded material sandwich doubly curved shallow shells reinforced by FGM stiffeners. Part 1: Governing equations. Vietnam Journal of Mechanics, 39, (3), (2017), pp. 245–257. doi:10.15625/0866-7136/9692.

H. Parandvar and M. Farid. Large amplitude vibration of FGM plates in thermal environment subjected to simultaneously static pressure and harmonic force using multimodal FEM. Composite Structures, 141, (2016), pp. 163–171. doi:10.1016/j.compstruct.2016.01.044.

S. Pandey and S. Pradyumna. A finite element formulation for thermally induced vibrations of functionally graded material sandwich plates and shell panels. Composite Structures, 160, (2017), pp. 877–886. doi:10.1016/j.compstruct.2016.10.040.

Z. X. Wang and H. S. Shen. Nonlinear dynamic response of sandwich plates with FGM face sheets resting on elastic foundations in thermal environments. Ocean Engineering, 57, (2013), pp. 99–110. doi:10.1016/j.oceaneng.2012.09.004.

D. H. Bich, D. V. Dung, and V. H. Nam. Nonlinear dynamical analysis of eccentrically stiffened functionally graded cylindrical panels. Composite Structures, 94, (8), (2012), pp. 2465–2473. doi:10.1016/j.compstruct.2012.03.012.

D. H. Bich, D. V. Dung, and V. H. Nam. Nonlinear dynamic analysis of eccentrically stiffened imperfect functionally graded doubly curved thin shallow shells. Composite Structures, 96, (2013), pp. 384–395. doi:10.1016/j.compstruct.2012.10.009.

A. M. Zenkour. A comprehensive analysis of functionally graded sandwich plates: Part 2 - Buckling and free vibration. International Journal of Solids and Structures, 42, (18), (2005), pp. 5243–5258. doi:10.1016/j.ijsolstr.2005.02.016.

Y. S. Touloukian. Thermophysical properties of high temperature solid materials. New York, NY: MacMillan, (1967).

J. N. Reddy and C. D. Chin. Thermomechanical analysis of functionally graded cylinders and plates. Journal of Thermal Stresses, 21, (6), (1998), pp. 593–626. doi:10.1080/01495739808956165.

Downloads

Published

27-12-2017

Issue

Section

Research Article

Most read articles by the same author(s)

<< < 1 2