Optimization of stay cables in cable-stayed bridges using finite element, genetic algorithm, and B-spline combined technique

This paper is concerned with the numerical solution of the nonlinear Schrödinger (NLS) equation with Neumann boundary conditions by quintic B-spline Galerkin finite element method as the shape and weight functions over the finite domain. The Galerkin B-spline method is more efficient and simpler than the general Galerkin finite element method. For the Galerkin B-spline method, the Crank Nicolson and finite difference schemes are applied for nodal parameters and for time integration. Two numerical problems are discussed to demonstrate the accuracy and feasibility of the proposed method. The error norms L 2 , L ∞ and conservation laws I 1 , I 2 are calculated to check the accuracy and feasibility of the method. The results of the scheme are compared with previously obtained approximate solutions and are found to be in good agreement.

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Cazacu and Barlat Criterion Identification Using the Cylindrical Cup Deep Drawing Test and the Coupled Artificial Neural Networks – Genetic Algorithm Method

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.504-506.637 ◽

2012 ◽

Vol 504-506 ◽

pp. 637-642 ◽

Cited By ~ 4

Author(s):

Hamdi Aguir ◽

J.L. Alves ◽

M.C. Oliveira ◽

L.F. Menezes ◽

Hedi BelHadjSalah

Keyword(s):

Genetic Algorithm ◽

Finite Element ◽

Deep Drawing ◽

Inverse Analysis ◽

Computational Time ◽

Ann Model ◽

Drawing Test ◽

Artificial Neural ◽

Deep Drawing Test ◽

Cylindrical Cup

This paper deals with the identification of the anisotropic parameters using an inverse strategy. In the classical inverse methods, the inverse analysis is generally coupled with a finite element code, which leads to a long computational time. In this work an inverse analysis strategy coupled with an artificial neural network (ANN) model is proposed. This method has the advantage of being faster than the classical one. To test and validate the proposed approach an experimental cylindrical cup deep drawing test is used in order to identify the orthotropic material behaviour. The ANN model is trained by finite element simulations of this experimental test. To reduce the gap between the experimental responses and the numerical ones, the proposed method is coupled with an optimization procedure based on the genetic algorithm (GA) to identify the Cazacu and Barlat’2001 material parameters of a standard mild steel DC06.

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Genetic algorithm- and finite element-based design and analysis of nonprismatic piezolaminated beam for optimal vibration energy harvesting

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406215595253 ◽

2015 ◽

Vol 230 (14) ◽

pp. 2532-2548 ◽

Cited By ~ 9

Author(s):

Alok Ranjan Biswal ◽

Tarapada Roy ◽

Rabindra Kumar Behera

Keyword(s):

Genetic Algorithm ◽

Finite Element ◽

Energy Harvesting ◽

Output Power ◽

Governing Equation ◽

Optimization Technique ◽

Vibration Energy ◽

Fe Model ◽

Vibration Energy Harvesting ◽

Real Coded Genetic Algorithm

The current article deals with finite element (FE)- and genetic algorithm (GA)-based vibration energy harvesting from a tapered piezolaminated cantilever beam. Euler–Bernoulli beam theory is used for modeling the various cross sections of the beam. The governing equation of motion is derived by using the Hamilton's principle. Two noded beam elements with two degrees of freedom at each node have been considered in order to solve the governing equation. The effect of structural damping has also been incorporated in the FE model. An electric interface is assumed to be connected to measure the voltage and output power in piezoelectric patch due to charge accumulation caused by vibration. The effects of taper (both in the width and height directions) on output power for three cases of shape variation (such as linear, parabolic and cubic) along with frequency and voltage are analyzed. A real-coded genetic algorithm-based constrained (such as ultimate stress and breakdown voltage) optimization technique has been formulated to determine the best possible design variables for optimal harvesting power. A comparative study is also carried out for output power by varying the cross section of the beam, and genetic algorithm-based optimization scheme shows the better results than that of available conventional trial and error methods.

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Finite Element Simulation of the Creep Behavior of 2.25Cr-1Mo-0.25V Steel Based on Continuum Damage Mechanics

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.750.266 ◽

2015 ◽

Vol 750 ◽

pp. 266-271 ◽

Cited By ~ 1

Author(s):

Yu Zhou ◽

Xue Dong Chen ◽

Zhi Chao Fan ◽

Yi Chun Han

Keyword(s):

Genetic Algorithm ◽

Finite Element ◽

Creep Behavior ◽

Constitutive Equations ◽

Damage Evolution ◽

Damage Mechanics ◽

Creep Damage ◽

Continuum Damage Mechanics ◽

Continuum Damage ◽

Element Simulation

The creep behavior of 2.25Cr-1Mo-0.25V ferritic steel was investigated using a set of physically-based creep damage constitutive equations. The material constants were determined according to the creep experimental data, using an efficient genetic algorithm. The user-defined subroutine for creep damage evolution was developed based on the commercial finite element software ANSYS and its user programmable features (UPFs), and the numerical simulation of the stress distribution and the damage evolution of the semi V-type notched specimen during creep were studied. The results showed that the genetic algorithm is a very efficient optimization approach for the parameter identification of the creep damage constitutive equations, and finite element simulation based on continuum damage mechanics can be used to analyze and predict the creep damage evolution under multi-axial stress states.

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A Numerical Solution to Fractional Diffusion Equation for Force-Free Case

Abstract and Applied Analysis ◽

10.1155/2013/187383 ◽

2013 ◽

Vol 2013 ◽

pp. 1-6 ◽

Cited By ~ 8

Author(s):

O. Tasbozan ◽

A. Esen ◽

N. M. Yagmurlu ◽

Y. Ucar

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Exact Analytical Solution ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Spline Functions ◽

B Spline ◽

Numerical Examples ◽

Free Case

A collocation finite element method for solving fractional diffusion equation for force-free case is considered. In this paper, we develop an approximation method based on collocation finite elements by cubic B-spline functions to solve fractional diffusion equation for force-free case formulated with Riemann-Liouville operator. Some numerical examples of interest are provided to show the accuracy of the method. A comparison between exact analytical solution and a numerical one has been made.

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