Score: 5
From 7 Ratings

## Interval Finite Element Method with MATLAB

• Author : Sukanta Nayak
• Release Date : 2018-02-05
• Genre: Technology & Engineering
• Pages : 168
• ISBN 10 : 9780128129746

Interval Finite Element Method with MATLAB Excerpt :

Interval Finite Element Method with MATLAB provides a thorough introduction to an effective way of investigating problems involving uncertainty using computational modeling. The well-known and versatile Finite Element Method (FEM) is combined with the concept of interval uncertainties to develop the Interval Finite Element Method (IFEM). An interval or stochastic environment in parameters and variables is used in place of crisp ones to make the governing equations interval, thereby allowing modeling of the problem. The concept of interval uncertainties is systematically explained. Several examples are explored with IFEM using MATLAB on topics like spring mass, bar, truss and frame. Provides a systematic approach to understanding the interval uncertainties caused by vague or imprecise data Describes the interval finite element method in detail Gives step-by-step instructions for how to use MATLAB code for IFEM Provides a range of examples of IFEM in use, with accompanying MATLAB codes

## Advanced Numerical and Semi Analytical Methods for Differential Equations

• Author : Snehashish Chakraverty
• Publisher : John Wiley & Sons
• Release Date : 2019-03-20
• Genre: Mathematics
• Pages : 256
• ISBN 10 : 9781119423447

Advanced Numerical and Semi Analytical Methods for Differential Equations Excerpt :

Examines numerical and semi-analytical methods for differential equations that can be used for solving practical ODEs and PDEs This student-friendly book deals with various approaches for solving differential equations numerically or semi-analytically depending on the type of equations and offers simple example problems to help readers along. Featuring both traditional and recent methods, Advanced Numerical and Semi Analytical Methods for Differential Equations begins with a review of basic numerical methods. It then looks at Laplace, Fourier, and weighted residual methods for solving differential equations. A new challenging method of Boundary Characteristics Orthogonal Polynomials (BCOPs) is introduced next. The book then discusses Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM), and Boundary Element Method (BEM). Following that, analytical/semi analytic methods like Akbari Ganji's Method (AGM) and Exp-function are used to solve nonlinear differential equations. Nonlinear differential equations using semi-analytical methods are also addressed, namely Adomian Decomposition Method (ADM), Homotopy Perturbation Method (HPM), Variational Iteration Method (VIM), and Homotopy Analysis Method (HAM). Other topics covered include: emerging areas of research related to the solution of differential equations based on differential quadrature and wavelet approach; combined and hybrid methods for solving differential equations; as well as an overview of fractal differential equations. Further, uncertainty in term of intervals and fuzzy numbers have also been included, along with the interval finite element method. This book: Discusses various methods for solving linear and nonlinear ODEs and PDEs Covers basic numerical techniques for solving differential equations along with various discretization methods Investigates nonlinear differential equations using semi-analytical methods Examines differential equations in an uncertain environment

## Interval Finite Element Method with MATLAB

• Author : Sukanta Nayak
• Release Date : 2018-01-24
• Genre: Uncategoriezed
• Pages : 168
• ISBN 10 : 0128129735

Interval Finite Element Method with MATLAB Excerpt :

Interval Finite Element Method with MATLAB provides a thorough introduction to an effective way of investigating problems involving uncertainty using computational modeling. The well-known and versatile Finite Element Method (FEM) is combined with the concept of interval uncertainties to develop the Interval Finite Element Method (IFEM). An interval or stochastic environment in parameters and variables is used in place of crisp ones to make the governing equations interval, thereby allowing modeling of the problem. The concept of interval uncertainties is systematically explained. Several examples are explored with IFEM using MATLAB on topics like spring mass, bar, truss and frame. Provides a systematic approach to understanding the interval uncertainties caused by vague or imprecise data Describes the interval finite element method in detail Gives step-by-step instructions for how to use MATLAB code for IFEM Provides a range of examples of IFEM in use, with accompanying MATLAB codes

## Computational Framework for the Finite Element Method in MATLAB and Python

• Author : Pavel Sumets
• Publisher : CRC Press
• Release Date : 2022-07-29
• Genre: Mathematics
• Pages : 182
• ISBN 10 : 9781000610024

Computational Framework for the Finite Element Method in MATLAB and Python Excerpt :

Computational Framework for the Finite Element Method in MATLAB and Python aims to provide a programming framework for coding linear FEM using matrix-based MATLAB language and Python scripting language. It describes FEM algorithm implementation in the most generic formulation so that it is possible to apply this algorithm to as many application problems as possible. Readers can follow the step-by-step process of developing algorithms with clear explanations of its underlying mathematics and how to put it into MATLAB and Python code. The content is focused on aspects of numerical methods and coding FEM rather than FEM mathematical analysis. However, basic mathematical formulations for numerical techniques which are needed to implement FEM are provided. Particular attention is paid to an efficient programming style using sparse matrices. Features Contains ready-to-use coding recipes allowing fast prototyping and solving of mathematical problems using FEM. Suitable for upper-level undergraduates and graduates in applied mathematics, science, or engineering. Both MATLAB and Python programming codes are provided to give readers more flexibility in the practical framework implementation.

## Introduction to Finite Element Analysis Using MATLAB and Abaqus

• Author : Amar Khennane
• Publisher : CRC Press
• Release Date : 2013-06-10
• Genre: Technology & Engineering
• Pages : 490
• ISBN 10 : 9781466580206

Introduction to Finite Element Analysis Using MATLAB and Abaqus Excerpt :

There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB® and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method while maintaining a balance between its mathematical formulation, programming implementation, and application using commercial software. The computer implementation is carried out using MATLAB, while the practical applications are carried out in both MATLAB and Abaqus. MATLAB is a high-level language specially designed for dealing with matrices, making it particularly suited for programming the finite element method, while Abaqus is a suite of commercial finite element software. Includes more than 100 tables, photographs, and figures Provides MATLAB codes to generate contour plots for sample results Introduction to Finite Element Analysis Using MATLAB and Abaqus introduces and explains theory in each chapter, and provides corresponding examples. It offers introductory notes and provides matrix structural analysis for trusses, beams, and frames. The book examines the theories of stress and strain and the relationships between them. The author then covers weighted residual methods and finite element approximation and numerical integration. He presents the finite element formulation for plane stress/strain problems, introduces axisymmetric problems, and highlights the theory of plates. The text supplies step-by-step procedures for solving problems with Abaqus interactive and keyword editions. The described procedures are implemented as MATLAB codes and Abaqus files can be found on the CRC Press website.

## MATLAB

• Author : Clara Ionescu
• Publisher : BoD – Books on Demand
• Release Date : 2011-10-13
• Genre: Computers
• Pages : 562
• ISBN 10 : 9789533079073

MATLAB Excerpt :

A well-known statement says that the PID controller is the "bread and butter" of the control engineer. This is indeed true, from a scientific standpoint. However, nowadays, in the era of computer science, when the paper and pencil have been replaced by the keyboard and the display of computers, one may equally say that MATLAB is the "bread" in the above statement. MATLAB has became a de facto tool for the modern system engineer. This book is written for both engineering students, as well as for practicing engineers. The wide range of applications in which MATLAB is the working framework, shows that it is a powerful, comprehensive and easy-to-use environment for performing technical computations. The book includes various excellent applications in which MATLAB is employed: from pure algebraic computations to data acquisition in real-life experiments, from control strategies to image processing algorithms, from graphical user interface design for educational purposes to Simulink embedded systems.

## Fundamentals of Optimization Techniques with Algorithms

• Author : Sukanta Nayak
• Release Date : 2020-08-25
• Genre: Mathematics
• Pages : 320
• ISBN 10 : 9780128224922

Fundamentals of Optimization Techniques with Algorithms Excerpt :

Optimization is a key concept in mathematics, computer science, and operations research, and is essential to the modeling of any system, playing an integral role in computer-aided design. Fundamentals of Optimization Techniques with Algorithms presents a complete package of various traditional and advanced optimization techniques along with a variety of example problems, algorithms and MATLAB© code optimization techniques, for linear and nonlinear single variable and multivariable models, as well as multi-objective and advanced optimization techniques. It presents both theoretical and numerical perspectives in a clear and approachable way. In order to help the reader apply optimization techniques in practice, the book details program codes and computer-aided designs in relation to real-world problems. Ten chapters cover, an introduction to optimization; linear programming; single variable nonlinear optimization; multivariable unconstrained nonlinear optimization; multivariable constrained nonlinear optimization; geometric programming; dynamic programming; integer programming; multi-objective optimization; and nature-inspired optimization. This book provides accessible coverage of optimization techniques, and helps the reader to apply them in practice. Presents optimization techniques clearly, including worked-out examples, from traditional to advanced Maps out the relations between optimization and other mathematical topics and disciplines Provides systematic coverage of algorithms to facilitate computer coding Gives MATLAB© codes in relation to optimization techniques and their use in computer-aided design Presents nature-inspired optimization techniques including genetic algorithms and artificial neural networks

## Mathematical Methods in Interdisciplinary Sciences

• Author : Snehashish Chakraverty
• Publisher : John Wiley & Sons
• Release Date : 2020-06-15
• Genre: Mathematics
• Pages : 464
• ISBN 10 : 9781119585657

Mathematical Methods in Interdisciplinary Sciences Excerpt :

Brings mathematics to bear on your real-world, scientific problems Mathematical Methods in Interdisciplinary Sciences provides a practical and usable framework for bringing a mathematical approach to modelling real-life scientific and technological problems. The collection of chapters Dr. Snehashish Chakraverty has provided describe in detail how to bring mathematics, statistics, and computational methods to the fore to solve even the most stubborn problems involving the intersection of multiple fields of study. Graduate students, postgraduate students, researchers, and professors will all benefit significantly from the author's clear approach to applied mathematics. The book covers a wide range of interdisciplinary topics in which mathematics can be brought to bear on challenging problems requiring creative solutions. Subjects include: Structural static and vibration problems Heat conduction and diffusion problems Fluid dynamics problems The book also covers topics as diverse as soft computing and machine intelligence. It concludes with examinations of various fields of application, like infectious diseases, autonomous car and monotone inclusion problems.

## Introduction to the Finite Element Method and Implementation with MATLAB

• Author : Gang Li
• Publisher : Cambridge University Press
• Release Date : 2020-07-30
• Genre: Science
• Pages : 525
• ISBN 10 : 9781108471688

Introduction to the Finite Element Method and Implementation with MATLAB Excerpt :

An introductory textbook for engineering students, connecting finite element theory with practical application and implementation.

## Special Topics in Structural Dynamics Volume 6

• Author : Nikolaos Dervilis
• Publisher : Springer
• Release Date : 2017-03-28
• Genre: Science
• Pages : 197
• ISBN 10 : 9783319538419

Special Topics in Structural Dynamics Volume 6 Excerpt :

Special Topics in Structural Dynamics, Volume 6: Proceedings of the 35th IMAC, A Conference and Exposition on Structural Dynamics, 2017, the sixth volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Experimental Methods Analytical Methods General Dynamics & Modal Analysis General Dynamics & System Identification Damage Detection

## Technological Transformation A New Role For Human Machines And Management

• Author : Hanno Schaumburg
• Publisher : Springer Nature
• Release Date : 2020-12-10
• Genre: Technology & Engineering
• Pages : 254
• ISBN 10 : 9783030644307

Technological Transformation A New Role For Human Machines And Management Excerpt :

This proceedings book contains 21 articles that arouse the greatest interest among experts from academia, industry and scientific experts in the area of the structural transformation of industrial and economic systems on a new technological base. V Scientific International Conference «Technological Transformation: A New Role for Human, Machines and Management (TT-2020)» was held on 16–18 September 2020 in St. Petersburg at the Peter the Great St. Petersburg Polytechnic University. The conference aimed to discuss the results of system studies on the key drivers and consequences of wide digitalization in various sectors of the economy and industry, as well as in the service sector. Topics were presented: New industrial base, Virtual engineering, Diffusion of technology, Digital infrastructure, Supercomputers, Cyberphysical interface and Informatics of cognitive processes, Convergence, harmonization and integration of artificial and natural intelligence, Changing social and economic landscape and new management systems, Digital technologies in logistics, Cyberphysical systems and artificial intelligence.

## An Introduction to the Finite Element Method for Differential Equations

• Publisher : John Wiley & Sons
• Release Date : 2020-08-27
• Genre: Mathematics
• Pages : 352
• ISBN 10 : 9781119671664

An Introduction to the Finite Element Method for Differential Equations Excerpt :

Master the finite element method with this masterful and practical volume An Introduction to the Finite Element Method (FEM) for Differential Equations provides readers with a practical and approachable examination of the use of the finite element method in mathematics. Author Mohammad Asadzadeh covers basic FEM theory, both in one-dimensional and higher dimensional cases. The book is filled with concrete strategies and useful methods to simplify its complex mathematical contents. Practically written and carefully detailed, An Introduction to the Finite Element Method covers topics including: An introduction to basic ordinary and partial differential equations The concept of fundamental solutions using Green's function approaches Polynomial approximations and interpolations, quadrature rules, and iterative numerical methods to solve linear systems of equations Higher-dimensional interpolation procedures Stability and convergence analysis of FEM for differential equations This book is ideal for upper-level undergraduate and graduate students in natural science and engineering. It belongs on the shelf of anyone seeking to improve their understanding of differential equations.

## Pragmatic Introduction To The Finite Element Method For Thermal And Stress Analysis A With The Matlab Toolkit Sofea

• Author : Petr Krysl
• Publisher : World Scientific Publishing Company
• Release Date : 2006-10-23
• Genre: Science
• Pages : 292
• ISBN 10 : 9789813101814

Pragmatic Introduction To The Finite Element Method For Thermal And Stress Analysis A With The Matlab Toolkit Sofea Excerpt :

This textbook provides an accessible and self-contained description of the Galerkin finite element method for the two important models of continuum mechanics, transient heat conduction and elastodynamics, from formulation of the governing equations to implementation in Matlab.The coverage follows an intuitive approach: the salient features of each initial boundary value problem are reviewed, including a thorough description of the boundary conditions; the method of weighted residuals is applied to derive the discrete equations; and clear examples are introduced to illustrate the method.

## The Finite Element Method

• Author : Darrell W. Pepper
• Publisher : CRC Press
• Release Date : 2017-04-11
• Pages : 610
• ISBN 10 : 9781315395098

The Finite Element Method Excerpt :

This self-explanatory guide introduces the basic fundamentals of the Finite Element Method in a clear manner using comprehensive examples. Beginning with the concept of one-dimensional heat transfer, the first chapters include one-dimensional problems that can be solved by inspection. The book progresses through more detailed two-dimensional elements to three-dimensional elements, including discussions on various applications, and ending with introductory chapters on the boundary element and meshless methods, where more input data must be provided to solve problems. Emphasis is placed on the development of the discrete set of algebraic equations. The example problems and exercises in each chapter explain the procedure for defining and organizing the required initial and boundary condition data for a specific problem, and computer code listings in MATLAB and MAPLE are included for setting up the examples within the text, including COMSOL files. Widely used as an introductory Finite Element Method text since 1992 and used in past ASME short courses and AIAA home study courses, this text is intended for undergraduate and graduate students taking Finite Element Methodology courses, engineers working in the industry that need to become familiar with the FEM, and engineers working in the field of heat transfer. It can also be used for distance education courses that can be conducted on the web. Highlights of the new edition include: - Inclusion of MATLAB, MAPLE code listings, along with several COMSOL files, for the example problems within the text. Power point presentations per chapter and a solution manual are also available from the web. - Additional introductory chapters on the boundary element method and the meshless method. - Revised and updated content. -Simple and easy to follow guidelines for understanding and applying the Finite Element Method.

Score: 5
From 1 Ratings

## Safety Reliability Risk and Life Cycle Performance of Structures and Infrastructures

• Author : George Deodatis
• Publisher : CRC Press
• Release Date : 2014-02-10
• Genre: Technology & Engineering
• Pages : 1112
• ISBN 10 : 9781315884882

Safety Reliability Risk and Life Cycle Performance of Structures and Infrastructures Excerpt :

Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures contains the plenary lectures and papers presented at the 11th International Conference on STRUCTURAL SAFETY AND RELIABILITY (ICOSSAR2013, New York, NY, USA, 16-20 June 2013), and covers major aspects of safety, reliability, risk and life-cycle performance of str