Static bending and free vibration of cross-ply laminated plates with simply supported boundary conditions are studied using layerwise description for field variables. The layerwise approach accounts for the through-the-thickness deformations. The equations of motion and the boundary conditions are obtained by the Carrera's unified formulation. The stiffness matrix is computed by using the Reissner mixed variational theorem (RMVT), in which the transverse stresses are also treated as independent variables apart from the displacements. To this end, a mixed form of Hooke's law is defined. A cell-based smoothed finite element method is employed to compute the terms in the stiffness matrix. The influence of various parameters on the static bending and free vibration are numerically studied. © 2016 Elsevier Masson SAS

Sundararajan Natarajan

Department of Mechanical Engineering

Aladurthi L.N. Pramod

A.J.M. Ferreira

E. Carrera

M. Cinefra

Boundary conditions

Equations of motion

Laminating

Stiffness

Stiffness Matrix

vibration analysis

Vibrations (mechanical)

Laminated plate

Layer-wise theory

MIXED VARIATIONAL THEOREM

SMOOTHED FINITE ELEMENT METHOD

STATIC BENDING

Vibration

finite element method

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

European Journal of Mechanics, A/Solids

This paper presents a layup optimisation algorithm for composite marine propellers, including the hygrothermal effects, using Non-Uniform Rational B-Splines (NURBS) based FEM coupled with real-coded Genetic Algorithm (GA). The use of Iso-Geometric Analysis (IGA) enables accurate representation of complex marine propeller blades, coupled with GA for both continuous and mixed integer ply angle optimisation. The optimisation scheme was further investigated multi-objective, multi-material and multiple layer thickness optimisation scenarios. Furthermore, the IGA-FEM solver was constructed based on constitutive equations that take into account the hygrothermal effects that must be addressed to enable the optimisation of non-symmetric layups. Such non-symmetric layup patterns are proposed to be used to create extension-twist coupling to gain further control in layup optimisation. The optimisation technique is presented here as a method to widen the efficiency envelope of marine propellers. However, the same approach can potentially be adopted to cater many other practical applications such as composite wind turbine blades, aircraft propellers and other general composite ply angle optimisation scenarios. The paper discusses the proposed framework for optimisation of marine propeller, numerical tools used in the process and results under different conditions. © 2014 Elsevier B.V.

Computer Methods in Applied Mechanics and Engineering

Isogeometric analysis and genetic algorithm for shape-adaptive composite marine propellers

Composite Structures

Analysis of composite plates using a layerwise theory and a differential quadrature finite element method

European Journal of Mechanics - A/Solids

Three-dimensional thermal stress analysis of laminated composite plates with general layups by a sampling surfaces method

Improved aeroelastic tailoring using tow-steered composites

Radial basis functions collocation for the bending and free vibration analysis of laminated plates using the Reissner-Mixed Variational Theorem

Static and free vibration analysis of cross-ply laminated plates using the Reissner-mixed variational theorem and the cell based smoothed finite element method

Journal	Data powered by TypesetEuropean Journal of Mechanics, A/Solids
Publisher	Data powered by TypesetElsevier Ltd
ISSN	09977538
Open Access	No