Three-dimensional vibration analysis of thick functionally graded conical, cylindrical shell and annular plate structures with arbitrary elastic restraints

2014 ◽  
Vol 118 ◽  
pp. 432-447 ◽  
Author(s):  
Zhu Su ◽  
Guoyong Jin ◽  
Tiangui Ye
Keyword(s):  
Cylindrical Shell ◽  
Vibration Analysis ◽  
Annular Plate ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Plate Structures ◽  
Elastic Restraints

A semi-analytical three-dimensional free vibration analysis of functionally graded curved panels integrated with piezoelectric layers

2014 ◽  
Vol 21 (4) ◽  
pp. 571-587 ◽  
Author(s):  
Hamid Reza Saeidi Marzangoo ◽  
Mostafa Jalal
Keyword(s):  
Boundary Conditions ◽  
Vibration Analysis ◽  
Natural Frequencies ◽  
Differential Quadrature Method ◽  
Three Dimensional ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Simply Supported ◽  
Piezoelectric Layers ◽  
Curved Panels

AbstractFree vibration analysis of functionally graded (FG) curved panels integrated with piezoelectric layers under various boundary conditions is studied. A panel with two opposite edges is simply supported, and arbitrary boundary conditions at the other edges are considered. Two different models of material property variations based on the power law distribution in terms of the volume fractions of the constituents and the exponential law distribution of the material properties through the thickness are considered. Based on the three-dimensional theory of elasticity, an approach combining the state space method and the differential quadrature method (DQM) is used. For the simply supported boundary conditions, closed-form solution is given by making use of the Fourier series expansion, and applying the differential quadrature method to the state space formulations along the axial direction, new state equations about state variables at discrete points are obtained for the other cases such as clamped or free-end conditions. Natural frequencies of the hybrid curved panels are presented by solving the eigenfrequency equation, which can be obtained by using edges boundary conditions in this state equation. The results obtained for only FGM shell is verified by comparing the natural frequencies with the results obtained in the literature.

A general vibration analysis of functionally graded porous structure elements of revolution with general elastic restraints

2019 ◽  
Vol 209 ◽  
pp. 277-299 ◽  
Author(s):  
Xianlei Guan ◽  
Kyongjin Sok ◽  
Ailun Wang ◽  
Cijun Shuai ◽  
Jinyuan Tang ◽  
...  
Keyword(s):  
Porous Structure ◽  
Vibration Analysis ◽  
Functionally Graded ◽  
Elastic Restraints

scholarly journals Forced Vibration Analysis for a FGPM Cylindrical Shell

2013 ◽  
Vol 20 (3) ◽  
pp. 531-550 ◽  
Author(s):  
Hong-Liang Dai ◽  
Hao-Jie Jiang
Keyword(s):  
Cylindrical Shell ◽  
Forced Vibration ◽  
Vibration Analysis ◽  
Mechanical Load ◽  
Functionally Graded ◽  
Power Law Distribution ◽  
Constituent Material ◽  
Present Solution ◽  
Functionally Graded Piezoelectric ◽  
Forced Vibration Analysis

This article presents an analytical study for forced vibration of a cylindrical shell which is composed of a functionally graded piezoelectric material (FGPM). The cylindrical shell is assumed to have two-constituent material distributions through the thickness of the structure, and material properties of the cylindrical shell are assumed to vary according to a power-law distribution in terms of the volume fractions for constituent materials, the exact solution for the forced vibration problem is presented. Numerical results are presented to show the effect of electric excitation, thermal load, mechanical load and volume exponent on the static and force vibration of the FGPM cylindrical shell. The goal of this investigation is to optimize the FGPM cylindrical shell in engineering, also the present solution can be used in the forced vibration analysis of cylindrical smart elements.

Three-dimensional magneto-thermo-elastic analysis of functionally graded cylindrical shell

2017 ◽  
Vol 38 (4) ◽  
pp. 479-494 ◽  
Author(s):  
A. Mehditabar ◽  
G. H. Rahimi ◽  
S. Ansari Sadrabadi
Keyword(s):  
Cylindrical Shell ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Elastic Analysis
Sign in / Sign up

Export Citation Format

Share Document