Differential Quadrature and Differential Quadrature Based Element Methods
  • Author : Xinwei Wang
  • Release Date : 24 March 2015
  • Publisher : Butterworth-Heinemann
  • Genre : Technology & Engineering
  • Pages : 408
  • ISBN 13 : 9780128031070

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Book Description: 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

Differential Quadrature and Differential Quadrature Based Element Methods

Differential Quadrature and Differential Quadrature Based Element Methods

Author : Xinwei Wang
Publisher : Butterworth-Heinemann
Genre : Technology & Engineering
Get Book

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 ...

Differential Quadrature and Its Application in Engineering

Differential Quadrature and Its Application in Engineering

Author : Chang Shu
Publisher : Springer Science & Business Media
Genre : Technology & Engineering
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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 ...

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
Genre : Technology & Engineering
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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 ...

Advanced Numerical and Semi Analytical Methods for Differential Equations

Advanced Numerical and Semi Analytical Methods for Differential Equations

Author : Snehashish Chakraverty,Nisha Mahato,Perumandla Karunakar,Tharasi Dilleswar Rao
Publisher : John Wiley & Sons
Genre : Mathematics
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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 ...

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
Genre : Mathematics
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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 ...

Mathematical Methods in Interdisciplinary Sciences

Mathematical Methods in Interdisciplinary Sciences

Author : Snehashish Chakraverty
Publisher : John Wiley & Sons
Genre : Mathematics
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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 ...

Progress in Intelligent Decision Science

Progress in Intelligent Decision Science

Author : Tofigh Allahviranloo,Soheil Salahshour,Nafiz Arica
Publisher : Springer Nature
Genre : Technology & Engineering
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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 ...

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
Genre : Technology & Engineering
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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 ...

Mathematics Applied to Engineering and Management

Mathematics Applied to Engineering and Management

Author : Mangey Ram,S.B. Singh
Publisher : CRC Press
Genre : Mathematics
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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 ...

Advanced Differential Quadrature Methods

Advanced Differential Quadrature Methods

Author : Zhi Zong,Yingyan Zhang
Publisher : CRC Press
Genre : Science
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Modern Tools to Perform Numerical Differentiation The original direct differential quadrature (DQ) method has been known to fail for problems with strong nonlinearity and material discontinuity as well as for problems involving singularity, irregularity, and multiple scales. But now researchers in applied mathematics, computational mechanics, and engineering have developed a ...

Mechanics of Laminated Composite Doubly Curved Shell Structures

Mechanics of Laminated Composite Doubly Curved Shell Structures

Author : Francesco Tornabene,Nicholas Fantuzzi
Publisher : Società Editrice Esculapio
Genre : Technology & Engineering
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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 ...

DiQuMaSPAB

DiQuMaSPAB

Author : Francesco Tornabene,Nicholas Fantuzzi,Michele Bacciocchi
Publisher : Società Editrice Esculapio
Genre : Technology & Engineering
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The main aim of this book is to show the features of DiQuMASPAB so ware through the description of its graphical interface, by giving special emphasis to all those aspects implemented in the code. DiQuMASPAB, acronym of “Differential Quadrature for Mechanics of Anisotropic Shells, Plates, Arches and Beams”, is a ...

Differential Quadrature and Its Application in Engineering

Differential Quadrature and Its Application in Engineering

Author : Chang Shu
Publisher : Springer Science & Business Media
Genre : Mathematics
Get Book

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 ...

Sinc Methods for Quadrature and Differential Equations

Sinc Methods for Quadrature and Differential Equations

Author : John Lund,Kenneth L. Bowers
Publisher : SIAM
Genre : Mathematics
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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 ...