Three dimensional thermoviscoelastic analysis of a simply supported FGM cylindrical panel

2016 ◽  
Vol 148 ◽  
pp. 181-190 ◽  
Author(s):  
Hossein Norouzi ◽  
Akbar Alibeigloo
Keyword(s):  
Three Dimensional ◽  
Cylindrical Panel ◽  
Simply Supported

Three-dimensional elasticity solution for laminated cross-ply panel under localized moment

2007 ◽  
Vol 221 (8) ◽  
pp. 859-866
Author(s):  
A Alibeigloo ◽  
M Shakeri
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Three Dimensional ◽  
Axial Direction ◽  
Variable Coefficients ◽  
Cylindrical Panel ◽  
Fourier Series Expansion ◽  
Simply Supported ◽  
Elasticity Solutions ◽  
Three Dimensional Elasticity

Three-dimensional elasticity solutions have been presented for thick laminated crossply circular cylindrical panel. The panel is under localized patch moment in axial direction and is simply supported at all edges with finite length. Ordinary differential equations with variable coefficients are obtained by means of Fourier series expansion for displacement field and loading in the circumferential and axial directions. Resulting ordinary differential equations are solved using Taylor series. Numerical results are presented for (0/90°) and (0/90/0°) lay-up, and compared with the results for simple form of loading published in literatures.

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.

scholarly journals Three Dimensional Static Solution of Simply Supported Single Layer Piezoelectric Plate

2016 ◽  
Vol 82 (4) ◽  
Author(s):  
Sandeep S. Pendhari ◽  
Sameer S. Sawarkar ◽  
Yogesh M. Desai ◽  
Nilesh Patil
Keyword(s):  
Piezoelectric Plate ◽  
Three Dimensional ◽  
Single Layer ◽  
Static Solution ◽  
Simply Supported

scholarly journals Dynamic Response of a Thick Piezoelectric Circular Cylindrical Panel: An Exact Solution

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Atta Oveisi ◽  
Mohammad Gudarzi ◽  
Seyyed Mohammad Hasheminejad
Keyword(s):  
Steady State ◽  
Mathematical Formulation ◽  
Three Dimensional ◽  
Cylindrical Panel ◽  
Mode Shapes ◽  
Steady State Response ◽  
Two Dimensional ◽  
Finite Element Software ◽  
State Response ◽  
Thick Shells

One of the interesting fields that attracted many researchers in recent years is the smart structures. The piezomaterials, because of their ability in converting both mechanical stress and electricity to each other, are very applicable in this field. However, most of the works available used various inexact two-dimensional theories with certain types of simplification, which are inaccurate in some applications such as thick shells while, in some applications due to request of large displacement/stress, thick piezoelectric panel is needed and two-dimensional theories have not enough accuracy. This study investigates the dynamic steady state response and natural frequency of a piezoelectric circular cylindrical panel using exact three-dimensional solutions based on this decomposition technique. In addition, the formulation is written for both simply supported and clamped boundary conditions. Then the natural frequencies, mode shapes, and dynamic steady state response of the piezoelectric circular cylindrical panel in frequency domain are validated with commercial finite element software (ABAQUS) to show the validity of the mathematical formulation and the results will be compared, finally.

Three dimensional solution of thick rectangular simply supported plates under a moving load

Meccanica ◽  
2017 ◽  
Vol 52 (15) ◽  
pp. 3675-3692 ◽  
Author(s):  
Parvaneh Nateghi Babagi ◽  
Bahram Navayi Neya ◽  
Mehdi Dehestani
Keyword(s):  
Moving Load ◽  
Three Dimensional ◽  
Dimensional Solution ◽  
Simply Supported
Sign in / Sign up

Export Citation Format

Share Document