scholarly journals Vibration suppression of truncated conical shells embedded with magnetostrictive layers based on first order shear deformation theory

2019 ◽  
Vol 57 (4) ◽  
pp. 957-972 ◽  
Author(s):  
Shahin Mohammadrezazadeh ◽  
Ali Jafari
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Vibration Suppression ◽  
Shear Deformation Theory ◽  
Conical Shells ◽  
First Order

scholarly journals Buckling of Joined Composite Conical Shells Using Shear Deformation Theory under Axial Compression

2019 ◽  
pp. 574-584
Author(s):  
Mohammad Hadi Izadi ◽  
Hosseini Hashemi Shahrokh ◽  
Moharam Habibnejad Korayem
Keyword(s):  
Finite Element ◽  
Shear Deformation ◽  
Axial Compression ◽  
Deformation Theory ◽  
Separation Of Variables ◽  
Shear Deformation Theory ◽  
Power Series Method ◽  
Buckling Loads ◽  
Conical Shells ◽  
First Order

This paper investigates critical buckling loads in joined conical shells under axial compression. An analytical approach has been applied to study classical linear buckling of joined cones that are made of cross-ply fiber reinforced laminates. The governing equations have been extracted using first-order shear deformation theory (FSDT), and an analytical solution has been applied to extract critical buckling loads. Accordingly, the system of partial differential equations has been solved via separation of variables using Fourier expansion and power series method. The effects of the number of layers, lamination sequences, semi-vertex angles, shell thicknesses, shell lengths and boundary conditions on the stability of joined cones have been examined. For validation, the specific examples of the present study have been compared to previous studies. Using ABAQUSE/CAE software (a FEM-based software), the results of finite element have been extracted. The present method is in good agreement with the finite element and other research results. Finally, the differences in classical shell theory (CST) of Donnell type and first-order shear deformation theory have been discussed for different shell thicknesses.

An Analytical Study to Free Vibration Control of Composite Beams With Piezoelectric Layers Based on First Order Shear Deformation Theory

2010 ◽  
Author(s):  
Ali Abbaszadeh Bidokhti
Keyword(s):  
Finite Element ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Analytical Study ◽  
Closed Loop ◽  
Vibration Suppression ◽  
Shear Deformation Theory ◽  
Composite Beams ◽  
First Order ◽  
Piezoelectric Layers

In this paper a new approach is applied to investigate the effects of piezoelectric materials on the damping properties of laminated composite beams. The active control is obtained by using an actuator and a sensor piezoelectric layer acting in a closed loop. The formulation is based on the first order shear deformation theory (FSDT). There are purely mechanical models in the literature, but only at a finite element level. Generally the electric quantities are condensed from an electromechanical finite element model. Here, an analytical study is performed to get equivalent beam equations that are of elastic type. The model is applicable. Analytical solutions are developed for simply supported composite beams with piezoelectric layers. A constant velocity feedback control algorithm is used to actively control the dynamic response of the structure through a closed loop control. Numerical results of vibration suppression effect for various locations and thickness of the piezoelectric layers, lay-up sequence, and control parameters are presented.

scholarly journals Buckling of Joined Composite Conical Shells Using Shear Deformation Theory under Axial Compression

2019 ◽  
pp. 574-584
Author(s):  
Mohammad Hadi Izadi ◽  
Hosseini Hashemi Shahrokh ◽  
Moharam Habibnejad Korayem
Keyword(s):  
Finite Element ◽  
Shear Deformation ◽  
Axial Compression ◽  
Deformation Theory ◽  
Separation Of Variables ◽  
Shear Deformation Theory ◽  
Power Series Method ◽  
Buckling Loads ◽  
Conical Shells ◽  
First Order

This paper investigates critical buckling loads in joined conical shells under axial compression. An analytical approach has been applied to study classical linear buckling of joined cones that are made of cross-ply fiber reinforced laminates. The governing equations have been extracted using first-order shear deformation theory (FSDT), and an analytical solution has been applied to extract critical buckling loads. Accordingly, the system of partial differential equations has been solved via separation of variables using Fourier expansion and power series method. The effects of the number of layers, lamination sequences, semi-vertex angles, shell thicknesses, shell lengths and boundary conditions on the stability of joined cones have been examined. For validation, the specific examples of the present study have been compared to previous studies. Using ABAQUSE/CAE software (a FEM-based software), the results of finite element have been extracted. The present method is in good agreement with the finite element and other research results. Finally, the differences in classical shell theory (CST) of Donnell type and first-order shear deformation theory have been discussed for different shell thicknesses.

Mechanical analysis of shrink-fitted thick FG cylinders based on first order shear deformation theory and FE simulation

2021 ◽  
pp. 095440622110127
Author(s):  
Mohammad Reza Salehi Kolahi ◽  
Hossein Rahmani ◽  
Hossein Moeinkhah
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Fe Simulation ◽  
Shear Deformation Theory ◽  
Mechanical Analysis ◽  
Plane Elasticity ◽  
Functionally Graded ◽  
First Order ◽  
Analytical Functions ◽  
Plane Elasticity Theory

In this paper, the first order shear deformation theory is used to derive an analytical formulation for shrink-fitted thick-walled functionally graded cylinders. It is assumed that the cylinders have constant Poisson’s ratio and the elastic modulus varies radially along the thickness with a power function. Furthermore, a finite element simulation is carried out using COMSOL Multiphysics, which has the advantage of defining material properties as analytical functions. The results from first order shear deformation theory are compared with the findings of both plane elasticity theory and FE simulation. The results of this study could be used to design and manufacture for elastic shrink-fitted FG cylinders.

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