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Meshless Methods For Shear Deformable Beams And Plates


Meshless Methods For Shear Deformable Beams And Plates
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Meshless Methods For Shear Deformable Beams And Plates


Meshless Methods For Shear Deformable Beams And Plates
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Author : Brian Michael Donning
language : en
Publisher:
Release Date : 1997

Meshless Methods For Shear Deformable Beams And Plates written by Brian Michael Donning and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.




Meshless Methods For Shear Deformable Beams And Plates Based On Mixed Weak Forms


Meshless Methods For Shear Deformable Beams And Plates Based On Mixed Weak Forms
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Author : Jack Samuel Brand Hale
language : en
Publisher:
Release Date : 2013

Meshless Methods For Shear Deformable Beams And Plates Based On Mixed Weak Forms written by Jack Samuel Brand Hale and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.




Handbook On Timoshenko Ehrenfest Beam And Uflyand Mindlin Plate Theories


Handbook On Timoshenko Ehrenfest Beam And Uflyand Mindlin Plate Theories
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Author : Isaac E Elishakoff
language : en
Publisher: World Scientific
Release Date : 2019-10-29

Handbook On Timoshenko Ehrenfest Beam And Uflyand Mindlin Plate Theories written by Isaac E Elishakoff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-29 with Technology & Engineering categories.


The refined theory of beams, which takes into account both rotary inertia and shear deformation, was developed jointly by Timoshenko and Ehrenfest in the years 1911-1912. In over a century since the theory was first articulated, tens of thousands of studies have been performed utilizing this theory in various contexts. Likewise, the generalization of the Timoshenko-Ehrenfest beam theory to plates was given by Uflyand and Mindlin in the years 1948-1951.The importance of these theories stems from the fact that beams and plates are indispensable, and are often occurring elements of every civil, mechanical, ocean, and aerospace structure.Despite a long history and many papers, there is not a single book that summarizes these two celebrated theories. This book is dedicated to closing the existing gap within the literature. It also deals extensively with several controversial topics, namely those of priority, the so-called 'second spectrum' shear coefficient, and other issues, and shows vividly that the above beam and plate theories are unnecessarily overcomplicated.In the spirit of Einstein's dictum, 'Everything should be made as simple as possible but not simpler,' this book works to clarify both the Timoshenko-Ehrenfest beam and Uflyand-Mindlin plate theories, and seeks to articulate everything in the simplest possible language, including their numerous applications.This book is addressed to graduate students, practicing engineers, researchers in their early career, and active scientists who may want to have a different look at the above theories, as well as readers at all levels of their academic or scientific career who want to know the history of the subject. The Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories are the key reference works in the study of stocky beams and thick plates that should be given their due and remain important for generations to come, since classical Bernoulli-Euler beam and Kirchhoff-Love theories are applicable for slender beams and thin plates, respectively.Related Link(s)



Advances In Meshfree Techniques


Advances In Meshfree Techniques
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Author : V.M.A. Leitao
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-26

Advances In Meshfree Techniques written by V.M.A. Leitao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-26 with Technology & Engineering categories.


The book collects extended original contributions presented at the first ECCOMAS Conference on Meshless Methods held in 2005 in Lisbon. The list of contributors is a mix of highly distinguished authors as well as promising young researchers. This means that the reader gets a varied and contemporary view on different mesh reduction methods and its range of applications. The material presented is appropriate for researchers, engineers, physicists, applied mathematicians and graduate students interested in this active research area.



Meshless Methods In Solid Mechanics


Meshless Methods In Solid Mechanics
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Author : Youping Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-28

Meshless Methods In Solid Mechanics written by Youping Chen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-28 with Science categories.


This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are provided on an included disc.



Meshfree Methods For Partial Differential Equations Iii


Meshfree Methods For Partial Differential Equations Iii
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Author : Michael Griebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-18

Meshfree Methods For Partial Differential Equations Iii written by Michael Griebel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-18 with Mathematics categories.


Meshfree methods for the numerical solution of partial differential equations are becoming more and more mainstream in many areas of applications. This volume represents the state-of-the-art in meshfree methods. It consists of articles which address the different meshfree techniques, their mathematical properties and their application in applied mathematics, physics and engineering.



Meshfree Methods


Meshfree Methods
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Author : G.R. Liu
language : en
Publisher: CRC Press
Release Date : 2009-10-06

Meshfree Methods written by G.R. Liu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-06 with Mathematics categories.


Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking WorkReflecting the significant advances made in the field since the publication of its predecessor, Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition systematically covers the most widely used meshfree methods. With 70% new material, this edit



Mesh Free Methods


Mesh Free Methods
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Author : G.R. Liu
language : en
Publisher: CRC Press
Release Date : 2002-07-29

Mesh Free Methods written by G.R. Liu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-29 with Mathematics categories.


As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method used for centuries eventually gave way to Finite Element Methods (FEM), which better met the demands for flexibility, effectiveness, and accuracy in problems involving complex geometry. Now,



Vibration Of Functionally Graded Beams And Plates


Vibration Of Functionally Graded Beams And Plates
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Author : Snehashish Chakraverty
language : en
Publisher: Academic Press
Release Date : 2016-02-11

Vibration Of Functionally Graded Beams And Plates written by Snehashish Chakraverty and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-11 with Technology & Engineering categories.


Vibration of Functionally Graded Beams and Plates uses numerically efficient computational techniques to analyze vibration problems associated with FG beams and plates. Introductory material on FG materials and structural members, as well as a range of vibration and shear deformation theories are discussed, providing a valuable summary of these broader themes. The latest research and analysis of vibration in FG materials is presented in an application-oriented manner, linking the research to its importance in fields such as aerospace, nuclear power, and automotive engineering. The book also features research on the complicating effects of thermal environments, piezoelectricity, and elastic foundations. The innovative computational procedures and simulation results are shown in full throughout, providing a uniquely valuable resource for users of numerical modeling software. This book is essential reading for any researcher or practitioner interested in FG materials, or the design of technology for the nuclear power, aerospace, and automotive industries. - Defines the basic preliminaries of vibration and FG materials - Introduces historical background and recent developments in functionally graded materials with references for further reading - Shows computational procedures with simulation results - Includes many easy to understand example problems - Presents various analytical and numerical procedures for each solution



Theories And Analyses Of Beams And Axisymmetric Circular Plates


Theories And Analyses Of Beams And Axisymmetric Circular Plates
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Author : J N Reddy
language : en
Publisher: CRC Press
Release Date : 2022-06-30

Theories And Analyses Of Beams And Axisymmetric Circular Plates written by J N Reddy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-30 with Technology & Engineering categories.


This comprehensive textbook compiles cutting-edge research on beams and circular plates, covering theories, analytical solutions, and numerical solutions of interest to students, researchers, and engineers working in industry. Detailing both classical and shear deformation theories, the book provides a complete study of beam and plate theories, their analytical (exact) solutions, variational solutions, and numerical solutions using the finite element method. Beams and plates are some of the most common structural elements used in many engineering structures. The book details both classical and advanced (i.e., shear deformation) theories, scaling in complexity to aid the reader in self-study, or to correspond with a taught course. It covers topics including equations of elasticity, equations of motion of the classical and first-order shear deformation theories, and analytical solutions for bending, buckling, and natural vibration. Additionally, it details static as well as transient response based on exact, the Navier, and variational solution approaches for beams and axisymmetric circular plates, and has dedicated chapters on linear and nonlinear finite element analysis of beams and circular plates. Theories and Analyses of Beams and Axisymmetric Circular Plates will be of interest to aerospace, civil, materials, and mechanical engineers, alongside students and researchers in solid and structural mechanics.