Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

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Department of Design and Automation

School of Mechanical Engineering

Vellore Campus

VIT Unitversity

International Journal of Non-Linear Mechanics

Nonlinear bending of porous curved beams reinforced by functionally graded nanocomposite graphene platelets applying an efficient shear flexible finite element approach

Fulltext

Composite Structures

A comprehensive analysis of porous graphene-reinforced curved beams by finite element approach using higher-order structural theory: Bending, vibration and buckling

Composites Part B: Engineering

Functionally graded graphene reinforced porous nanocomposite curved beams: Bending and elastic stability using a higher-order model with thickness stretch effect

Mechanics of Advanced Materials and Structures

A nonlocal higher-order curved beam finite model including thickness stretching effect for bending analysis of curved nanobeams

Investigation of thermo-elastic buckling of variable stiffness laminated composite shells using finite element approach based on higher-order theory

Nonlinear axisymmetric dynamic buckling of functionally graded graphene reinforced porous nanocomposite spherical caps

In the present work, the nonlinear free flexural vibration of thick curvilinear fiber composite laminates is investigated using a higher-order shear flexible eight-noded quadrilateral element developed considering the variation of in-plane and transverse displacement through the thickness. The formulation includes both the geometric nonlinearity and inertia effects. The governing equations, derived based on Lagrange’s equations of motion, are solved iteratively through an eigenvalue approach. The formulation is tested against various problems for which the solutions are available in the literature. A detailed analysis is made to assess the influence of fiber angles, lamination schemes, boundary conditions, thickness, and aspect ratios on the nonlinear frequency ratio at large amplitude vibrations of the laminates. A comparative study is also done along with the first-order and simple higher-order theory deduced from the present model by neglecting the thickness stretching effects. The present analysis shows the degree of hardening behavior getting affected noticeably compared to those of the traditional straight fibers, thus exhibiting the occurrence of drop off in frequency ratio and redistribution of mode shapes at certain amplitudes of vibration.

International Journal of Structural Stability and Dynamics

Nonlinear Free Flexural Vibration of Curvilinear Fibre Composite Laminates Using a Higher-Order Element

Finite Elements in Analysis and Design

Elastic stability of curved nanobeam based on higher-order shear deformation theory and nonlocal analysis by finite element approach

Applied Mathematical Modelling

A nonlocal higher-order model including thickness stretching effect for bending and buckling of curved nanobeams

In this study, the free vibration characteristics of variable stiffness laminated composite shells is numerically studied using a higher-order accurate theory. The unique feature of the variable stiffness composites is that the fiber orientation within the lamina changes continuously leading to spatial variation of stiffness of the resulting laminate. A systematic parametric study is conducted to bring out the influence of fiber orientation within and across the laminae, shell geometry and the structural theory on the fundamental frequency. The influence of environmental factors such as the temperature and the presence of moisture is also considered. It is inferred that the spatial variation of stiffness due to curvilinear fibres introduces additional flexibility in designing structures made of such materials. © 2018 Elsevier Ltd

Variable stiffness laminated composite shells – Free vibration characteristics based on higher-order structural theory

Vibration study of curved nanobeams based on nonlocal higher-order shear deformation theory using finite element approach

Physica E: Low-dimensional Systems and Nanostructures

Dynamic characteristics of curved nanobeams using nonlocal higher-order curved beam theory