Application of first-order shear deformation theory for the vibration analysis of functionally graded doubly-curved shells of revolution

2019 ◽  
Vol 212 ◽  
pp. 22-42 ◽  
Author(s):  
Haichao Li ◽  
Fuzhen Pang ◽  
Yuhui Li ◽  
Cong Gao
Keyword(s):  
Shear Deformation ◽  
Vibration Analysis ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Shells Of Revolution ◽  
First Order ◽  
Doubly Curved Shells ◽  
Doubly Curved

scholarly journals Application of First-order Shear Deformation Theory on Vibration Analysis of Stepped Functionally Graded Paraboloidal Shell with General Edge Constraints

Materials ◽  
2018 ◽  
Vol 12 (1) ◽  
pp. 69 ◽  
Author(s):  
Fuzhen Pang ◽  
Haichao Li ◽  
Fengmei Jing ◽  
Yuan Du
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Jacobi Polynomials ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Good Convergence ◽  
First Order ◽  
Edge Conditions ◽  
Doubly Curved ◽  
Paraboloidal Shell

The paper introduces a semi-analytical approach to analyze free vibration characteristics of stepped functionally graded (FG) paraboloidal shell with general edge conditions. The analytical model is established based on multi-segment partitioning strategy and first-order shear deformation theory. The displacement components along axial direction are represented by Jacobi polynomials, and the Fourier series are utilized to express displacement components in circumferential direction. Based on penalty method about spring stiffness technique, the general edge conditions of doubly curved paraboloidal shell can be easily simulated. The solutions about doubly curved paraboloidal shell were solved by approach of Rayleigh–Ritz. Convergence study about boundary parameters, Jacobi parameters et al. are carried out, respectively. The comparison with published literatures, FEM and experiment results show that the present method has good convergence ability and excellent accuracy.

First-order shear deformation theory for orthotropic doubly-curved shells based on a modified couple stress elasticity

2018 ◽  
Vol 73 ◽  
pp. 129-147 ◽  
Author(s):  
Farajollah Zare Jouneghani ◽  
Payam Mohammadi Dashtaki ◽  
Rossana Dimitri ◽  
Michele Bacciocchi ◽  
Francesco Tornabene
Keyword(s):  
Shear Deformation ◽  
Couple Stress ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
First Order ◽  
Doubly Curved Shells ◽  
Couple Stress Elasticity ◽  
Modified Couple Stress ◽  
Doubly Curved

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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