Differential Quadrature and Differential Quadrature Based Element Methods

Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications is a comprehensive guide to these methods and their various applications in recent years. Due to the attractive features of rapid convergence, high accuracy, and computational efficiency, the differential quadrature method and its based element methods are increasingly being used to study problems in the area of structural mechanics, such as static, buckling and vibration problems of composite structures and functional material structures. This book covers new developments and their applications in detail, with accompanying FORTRAN and MATLAB programs to help you overcome difficult programming challenges. It summarises the variety of different quadrature formulations that can be found by varying the degree of polynomials, the treatment of boundary conditions and employing regular or irregular grid points, to help you choose the correct method for solving practical problems. Offers a clear explanation of both the theory and many applications of DQM to structural analyses Discusses and illustrates reliable ways to apply multiple boundary conditions and develop reliable grid distributions Supported by FORTRAN and MATLAB programs, including subroutines to compute grid distributions and weighting coefficients

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  • Author : Xinwei Wang
  • Publisher : Butterworth-Heinemann
  • Pages : 408 pages
  • ISBN : 0128031077
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKDifferential Quadrature and Differential Quadrature Based Element Methods

Differential Quadrature and Differential Quadrature Based Element Methods

Differential Quadrature and Differential Quadrature Based Element Methods
  • Author : Xinwei Wang
  • Publisher : Butterworth-Heinemann
  • Release : 24 March 2015
GET THIS BOOKDifferential Quadrature and Differential Quadrature Based Element Methods

Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications is a comprehensive guide to these methods and their various applications in recent years. Due to the attractive features of rapid convergence, high accuracy, and computational efficiency, the differential quadrature method and its based element methods are increasingly being used to study problems in the area of structural mechanics, such as static, buckling and vibration problems of composite structures and functional material structures. This book covers new developments and

Differential Quadrature and Its Application in Engineering

Differential Quadrature and Its Application in Engineering
  • Author : Chang Shu
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKDifferential Quadrature and Its Application in Engineering

In the past few years, the differential quadrature method has been applied extensively in engineering. This book, aimed primarily at practising engineers, scientists and graduate students, gives a systematic description of the mathematical fundamentals of differential quadrature and its detailed implementation in solving Helmholtz problems and problems of flow, structure and vibration. Differential quadrature provides a global approach to numerical discretization, which approximates the derivatives by a linear weighted sum of all the functional values in the whole domain. Following

Progress in Intelligent Decision Science

Progress in Intelligent Decision Science
  • Author : Tofigh Allahviranloo,Soheil Salahshour,Nafiz Arica
  • Publisher : Springer Nature
  • Release : 08 December 2021
GET THIS BOOKProgress in Intelligent Decision Science

This book contains the topics of artificial intelligence and deep learning that do have much application in real-life problems. The concept of uncertainty has long been used in applied science, especially decision making and a logical decision must be made in the field of uncertainty or in the real-life environment that is formed and combined with vague concepts and data. The chapters of this book are connected to the new concepts and aspects of decision making with uncertainty. Besides, other

Mathematical Methods in Interdisciplinary Sciences

Mathematical Methods in Interdisciplinary Sciences
  • Author : Snehashish Chakraverty
  • Publisher : John Wiley & Sons
  • Release : 02 June 2020
GET THIS BOOKMathematical Methods in Interdisciplinary Sciences

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

Mathematics Applied to Engineering and Management

Mathematics Applied to Engineering and Management
  • Author : Mangey Ram,S.B. Singh
  • Publisher : CRC Press
  • Release : 08 August 2019
GET THIS BOOKMathematics Applied to Engineering and Management

This book offers the latest research advances in the field of mathematics applications in engineering sciences and provides a reference with a theoretical and sound background, along with case studies. In recent years, mathematics has had an amazing growth in engineering sciences. It forms the common foundation of all engineering disciplines. This new book provides a comprehensive range of mathematics applied to various fields of engineering for different tasks in fields such as civil engineering, structural engineering, computer science, electrical

Discrete Element Analysis Methods of Generic Differential Quadratures

Discrete Element Analysis Methods of Generic Differential Quadratures
  • Author : Chang-New Chen
  • Publisher : Springer Science & Business Media
  • Release : 12 September 2008
GET THIS BOOKDiscrete Element Analysis Methods of Generic Differential Quadratures

Following the advance in computer technology, the numerical technique has made signi?cant progress in the past decades. Among the major techniques available for numerically analyzing continuum mechanics problems, ?nite d- ference method is most early developed. It is di?cult to deal with cont- uum mechanics problems showing complex curvilinear geometries by using this method. The other method that can consistently discretize continuum mechanics problems showing arbitrarily complex geometries is ?nite element method. In addition, boundary element method is

Mechanics of laminated Composite doubly-curvel shell structures

Mechanics of laminated Composite doubly-curvel shell structures
  • Author : Francesco Tornabene,Nicholas Fantuzzi
  • Publisher : Società Editrice Esculapio
  • Release : 01 March 2014
GET THIS BOOKMechanics of laminated Composite doubly-curvel shell structures

This manuscript comes from the experience gained over ten years of study and research on shell structures and on the Generalized Differential Quadrature method. The title, Mechanics of Laminated Composite Doubly-Curved Shell Structures, illustrates the theme followed in the present volume. The present study aims to analyze the static and dynamic behavior of moderately thick shells made of composite materials through the application of the Differential Quadrature (DQ) technique. A particular attention is paid, other than fibrous and laminated composites,

Mechanical Engineering and Materials

Mechanical Engineering and Materials
  • Author : Jinyang Xu,Krishna Murari Pandey
  • Publisher : Springer Nature
  • Release : 25 April 2021
GET THIS BOOKMechanical Engineering and Materials

This book gathers the latest advances, innovations, and applications in the field of mechanical engineering, as presented by leading international researchers and engineers at the 2020 International Conference on Mechanical Engineering and Materials (ICMEM), held in Beijing, China on October 16-17, 2020. ICMEM covers all aspects of mechanical engineering and material sciences, such as computer-aided design, virtual design and design visualization, intelligent design, usability design, automobile structure, human-machine interface design, manufacturing engineering, aerospace engineering, automation and robotics, micro-machining, MEMS/ NEMS, composite materials,

A Differential Quadrature Hierarchical Finite Element Method

A Differential Quadrature Hierarchical Finite Element Method
  • Author : Bo Liu,Cuiyun Liu,Yang Wu,Yufeng Xing
  • Publisher : World Scientific
  • Release : 03 August 2021
GET THIS BOOKA Differential Quadrature Hierarchical Finite Element Method

The differential quadrature hierarchical finite element method (DQHFEM) was proposed by Bo Liu. This method incorporated the advantages and the latest research achievements of the hierarchical finite element method (HFEM), the differential quadrature method (DQM) and the isogeometric analysis (IGA). The DQHFEM also overcame many limitations or difficulties of the three methods.This unique compendium systemically introduces the construction of various DQHFEM elements of commonly used geometric shapes like triangle, tetrahedrons, pyramids, etc. Abundant examples are also included such as

Differential Quadrature and Its Application in Engineering

Differential Quadrature and Its Application in Engineering
  • Author : Chang Shu
  • Publisher : Springer Science & Business Media
  • Release : 14 January 2000
GET THIS BOOKDifferential Quadrature and Its Application in Engineering

In the past few years, the differential quadrature method has been applied extensively in engineering. This book, aimed primarily at practising engineers, scientists and graduate students, gives a systematic description of the mathematical fundamentals of differential quadrature and its detailed implementation in solving Helmholtz problems and problems of flow, structure and vibration. Differential quadrature provides a global approach to numerical discretization, which approximates the derivatives by a linear weighted sum of all the functional values in the whole domain. Following

Laminated Composite Doubly-Curved Shell Structures

Laminated Composite Doubly-Curved Shell Structures
  • Author : Francesco Tornabene,Michele Bacciocchi,Nicholas Fantuzzi,Erasmo Viola
  • Publisher : Società Editrice Esculapio
  • Release : 17 May 2016
GET THIS BOOKLaminated Composite Doubly-Curved Shell Structures

The title, “Laminated Composite Doubly-Curved Shell Structures. Differential and Integral Quadrature. Strong Form Finite Elements” illustrates the theme treated and the prospective followed during the composition of the present work. The aim of this manuscript is to analyze the static and dynamic behavior of thick and moderately thick composite shells through the application of the Differential Quadrature (DQ) method. The book is divided into two volumes wherein the principal higher order structural theories are illustrated in detail and the mechanical

Sinc Methods for Quadrature and Differential Equations

Sinc Methods for Quadrature and Differential Equations
  • Author : John Lund,Kenneth L. Bowers
  • Publisher : SIAM
  • Release : 01 January 1992
GET THIS BOOKSinc Methods for Quadrature and Differential Equations

Here is an elementary development of the Sinc-Galerkin method with the focal point being ordinary and partial differential equations. This is the first book to explain this powerful computational method for treating differential equations. These methods are an alternative to finite difference and finite element schemes, and are especially adaptable to problems with singular solutions. The text is written to facilitate easy implementation of the theory into operating numerical code. The authors' use of differential equations as a backdrop for

Anisotropic Doubly-Curved Shells

Anisotropic Doubly-Curved Shells
  • Author : Francesco Tornabene,Michele Bacciocchi
  • Publisher : Società Editrice Esculapio
  • Release : 08 August 2018
GET THIS BOOKAnisotropic Doubly-Curved Shells

This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for the mechanical analysis of doubly-curved shell structures made of anisotropic and composite materials. In particular, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the structural behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated

Automated Solution of Differential Equations by the Finite Element Method

Automated Solution of Differential Equations by the Finite Element Method
  • Author : Anders Logg,Kent-Andre Mardal,Garth Wells
  • Publisher : Springer Science & Business Media
  • Release : 24 February 2012
GET THIS BOOKAutomated Solution of Differential Equations by the Finite Element Method

This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the