The nonlinear, third-order thickness and shear deformation theory for statics and dynamics of laminated composite shells

2020 ◽  
Vol 244 ◽  
pp. 112265 ◽  
Author(s):  
Marco Amabili ◽  
J.N. Reddy
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Shells ◽  
Third Order ◽  
Statics And Dynamics ◽  
Laminated Composite Shells

A non-polynomial axiomatic framework for modelling and bending analysis of doubly curved spherical and cylindrical shells: An analytical solution

2021 ◽  
pp. 146442072110235
Author(s):  
Lalit K Sharma ◽  
Neeraj Grover ◽  
Ashish Purohit ◽  
Rosalin Sahoo
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Virtual Work ◽  
Cylindrical Shells ◽  
Mathematical Formulation ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Shells ◽  
Doubly Curved ◽  
Laminated Composite Shells

In the present work, the doubly curved spherical and cylindrical laminated composite shells are modelled and analysed in the framework of non-polynomial axiomatic approach. The inverse hyperbolic shear deformation theory originally developed for the laminated composite plates is extended to model the deformation characteristics of laminated composite shells. The mathematical formulation is developed under the assumption of linear structural kinematics and linear-elastic-orthotropic material behaviour. The governing equations of the model are obtained using the principle of virtual work and solved in exact manner for simply supported boundary conditions following the Navier solution methodology. The bending response of thick and thin spherical and cylindrical shells subjected to different types of transverse loads such as point load, uniform load and sinusoidal load is analysed in the framework of developed methodology. The obtained results due to inverse hyperbolic shear deformation theory are compared with other shell theories and on the basis of this comparison, the validity and applicability of the inverse hyperbolic shear deformation theory for doubly curved spherical and cylindrical shells is ensured.

scholarly journals Fundamental Frequency of Laminated Composite Thick Spherical Shells

2019 ◽  
Vol 11 (1) ◽  
pp. 57
Author(s):  
Mohammad Zannon
Keyword(s):  
Shear Deformation ◽  
Equations Of Motion ◽  
Minimum Energy ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Mode Shapes ◽  
Composite Shells ◽  
Software Packages ◽  
Element Technique ◽  
Laminated Composite Shells

In this study, we apply third-order shear deformation thick shell theory to analytically derive the frequency characteristics of the free vibration of thick spherical laminated composite shells. The equations of motion are derived using Hamilton’s principle of minimum energy and on the basis of the relationships between forces, moments, and stress displacements in the shell. We confirm the derived equations and analytical results through the finite element technique by using the well-known software packages MATLAB and ANSYS. We consider the fundamental natural frequencies and the mode shapes of simply supported spherical cross-ply (0, 90), (0, 90, 0), and (0, 90, 90, 0) laminated composite shells. Then, to increase accuracy and decrease calculation efforts, we compare the results obtained through classical theory and first-order shear deformation theory.

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