Parametric instability of shear deformable sandwich cylindrical shells containing an FGM core under static and time dependent periodic axial loads

被引：56

作者：

Sofiyev, A. H. ^{[1
]}

Kuruoglu, N. ^{[2
]}

机构：

[1] Suleyman Demirel Univ, Dept Civil Engn, Fac Engn, TR-32260 Isparta, Turkey

[2] Bahcesehir Univ, Fac Engn & Nat Sci, Dept Engn Math, Istanbul, Turkey

来源：

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2015年 / 101卷

关键词：

FG core; Sandwich cylindrical shells; Parametric instability; Instability regions; Static and dynamic load factors; First order shear deformation theory; DYNAMIC STABILITY ANALYSIS; FUNCTIONALLY GRADED CORE; TRUNCATED CONICAL SHELLS; FREE-VIBRATION; UNIFIED FORMULATION; PANELS; LAYER; COMPOSITE; RESONANCE; STRESS;

D O I：

10.1016/j.ijmecsci.2015.07.025

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The parametric instability of simply-supported sandwich cylindrical shell with a functionally graded (FG) core under static and time dependent periodic axial compressive loads is investigated in this study. The governing equations of sandwich cylindrical shell with an FG core are derived based on Donnell's shell theory using first order shear deformation theory (FSDT). Considering the time-dependent periodic axial compressive load, the governing equations are reduced the second order differential equation with the time-dependent periodic coefficient or Mathieu-type equation by using the Galerkin's method. This equation is solved by Bolotin's method and the closed form solutions for dimensionless excitation frequencies of parametric vibration of sandwich cylindrical shells with an FG core based on the FSDT are obtained. Numerical simulations are conducted to verify the analytical results. Finally, the effects of variations of volume fraction index of the FG core, static and dynamic load factors and shell characteristics on the dimensionless excitation frequencies of parametric vibration are studied numerically. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：114 / 123

页数：10

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