Download or read book A Triangular Thin Shell Finite Element written by G. R. Thomas and published by . This book was released on 1975 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Triangular Thin Shell Finite Element written by G. R. Thomas and published by . This book was released on 1975 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Finite Elements for Thin Shells and Curved Members written by Derek George Ashwell and published by John Wiley & Sons. This book was released on 1976 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Development and Evaluation of a Triangular Thin Shell Element Based Upon the Hybrid Assumed Stress Model written by Michio Tanaka and published by . This book was released on 1969 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: A finite-element formulation for a general triangular thin doubly-curved Kirchhoff shell element has been carried out, based upon the hybrid assumed stress variational model. This formulation is then applied specifically to conical (and cylindrical) shells, and the associated finite-element properties are evaluated. Several example static problems involving isotropic cylindrical shells and an isotropic conical shell subjected to mechanical loading are solved by employing the present triangular element to evaluate this formulation; good agreement with independent reliable solutions for these problems has been found. The formulation presented, however, also includes skew orthotropic plane stress shells, variable thickness shells, and thermal loads, all for linear elastic behavior. (Author).

Download or read book A Mixed Formulation Triangular Finite Element Model for Thin Shell Analysis written by Chung C. Dai and published by . This book was released on 1985 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Finite Element Method in Thin Shell Theory Application to Arch Dam Simulations written by Bernardou and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: ~his Monograph has two objectives : to analyze a f inite e l e m en t m e th o d useful for solving a large class of t hi n shell prob l e ms, and to show in practice how to use this method to simulate an arch dam prob lem. The first objective is developed in Part I. We record the defi- tion of a general thin shell model corresponding to the W.T. KOlTER linear equations and we show the existence and the uniqueness for a solution. By using a co nform ing fi nite e l e m ent me t hod , we associate a family of discrete problems to the continuous problem ; prove the convergence of the method ; and obtain error estimates between exact and approximate solutions. We then describe the impl em enta t ion of some specific conforming methods. The second objective is developed in Part 2. It consists of applying these finite element methods in the case of a representative practical situation that is an arc h dam pro b le m. This kind of problem is still of great interest, since hydroelectric plants permit the rapid increase of electricity production during the day hours of heavy consumption. This regulation requires construction of new hydroelectric plants on suitable sites, as well as permanent control of existing dams that may be enlightened by numerical stress analysis .

Download or read book The Finite Element Analysis of Shells Fundamentals written by Dominique Chapelle and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures. With a view towards the synergy that results from physical and mathematical understanding, the book focuses on the fundamentals of shell theories, their mathematical bases and finite element discretizations. The complexity of the physical behaviors of shells is analysed, and the difficulties to obtain uniformly optimal finite element procedures are identified and studied. Some modern finite element methods are presented for linear and nonlinear analyses. A state of the art monograph by leading experts.

Download or read book A Triangular Thin Shell Element for the Linear Analysis of Stiffened Composite Structures written by and published by . This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A three node flat shell element with six engineering displacement degree-of-freedom at each node is developed. The basic formulation allows for the arbitrary location of the reference surface in which the membrane forces and bending moments are fully coupled. The well-known, highly accurate, DKT bending element is combined with a higher order membrane element in order to obtain a consistent formulation. The higher order membrane behavior is obtained by the introduction of three additional normal rotational degree-of-freedom. This report presents a summary of the theoretical steps involved in the development of the element. The accuracy of the element is illustrated by the solution of several standard problems and a comparison of results with other thin shell elements. (jes).

Download or read book Finite Element Analysis of Translational Shells written by Tzu-cheng Chu and published by . This book was released on 1970 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: A finite element procedure is presented for solving thin shell problems of arbitrary geometry and boundary conditions. The actual smoothly curved shell surface is approximated by the assemblage of flat triangular plate elements. Both the membrance stiffness and plate bending stiffness of the flat element are considered and it is assumed that there is no coupling between these two types of element stiffness properties. The element stiffness properties are derived from assumed displacement functions, and triangle area coordinates are used for the derivation. A quadratic displacement function for the tangential displacements in the triangular element is assumed and the membrance stiffness is derived according to this assumed displacement function. A complete fourth order displacement function is used to derive the flexural stiffness of the triangular element. Shell or plate which is supported by edge beams or is stiffened by stiffeners is discussed. The twisting and axial stiffnesses, the eccentricity and the bending stiffness of the beam element are all considered. Various numerical examples are presented. These examples demonstrate the versatility and the accuracy given by the finite element procedure presented in this study. (Author).

Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-06-19 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.

Download or read book The Finite Element Method Its Basis and Fundamentals written by Olek C Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2013-08-31 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book’s content to enable clearer development of the finite element method, with major new chapters and sections added to cover: Weak forms Variational forms Multi-dimensional field problems Automatic mesh generation Plate bending and shells Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method in design and development Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience Features reworked and reordered contents for clearer development of the theory, plus new chapters and sections on mesh generation, plate bending, shells, weak forms and variational forms

Download or read book A Triangular Thin Shell Element for the Linear Analysis of Stiffened Composite Structures written by Edward Wilson and published by . This book was released on 1988 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: A three node flat shell element with six engineering displacement degree-of-freedom at each node is developed. The basic formulation allows for the arbitrary location of the reference surface in which the membrane forces and bending moments are fully coupled. The well-known, highly accurate, DKT bending element is combined with a higher order membrane element in order to obtain a consistent formulation. The higher order membrane behavior is obtained by the introduction of three additional normal rotational degree-of-freedom. This report presents a summary of the theoretical steps involved in the development of the element. The accuracy of the element is illustrated by the solution of several standard problems and a comparison of results with other thin shell elements. (jes).

Download or read book A Refined Finite Element Analysis of Thin Shell Structures Including Dynamic Loadings written by Athol James Carr and published by . This book was released on 1967 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonlinear Finite Element Analysis of Thin Shells written by Gareth Rhys Thomas and published by . This book was released on 1973 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On Triangular Finite Elements for General Shell Structures written by Phill-Seung Lee and published by . This book was released on 2004 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: In general, triangular elements are most efficient to discretize arbitrary shell geometries. However, in shell finite element analysis, usually quadrilateral elements are used due to their better performance. Indeed, there does not exist yet a "uniformly optimal" triangular shell element. The work in this thesis focuses on the development of continuum mechanics based triangular shell elements (of low and high order) which overcome the known disadvantages and show uniform optimal convergence. As the shell thickness decreases, the behavior of shell structures falls into one of three categories (bending dominated, membrane dominated or mixed problems) depending on the shell geometry and the boundary conditions. We develop a numerical scheme to evaluate the behavior of shells and perform the asymptotic analysis of three shell structures. We also present the asymptotic analysis results of a highly sensitive shell problem which has a fluctuating load-scaling factor. These results provide basic information for effective numerical tests of shell finite elements. We develop a new systematic procedure for the strain interpolation of MITC triangular shell finite elements that results into spatially isotropic elements. We propose possible strain interpolations and develop five new specific triangular shell finite elements. Considering the asymptotic behavior of shells, numerical tests of the elements are performed for shell problems theoretically well chosen. We also review the basic shell mathematical model (published by Chapelle and Bathe) from which most mathematical shell models are derived. Using the basic shell mathematical model in the formulation of shell elements provides insight that can be very valuable to improve finite element formulations.

Download or read book Practical Finite Element Analysis written by Nitin S. Gokhale and published by FINITE TO INFINITE. This book was released on 2008 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highlights of the book: Discussion about all the fields of Computer Aided Engineering, Finite Element Analysis Sharing of worldwide experience by more than 10 working professionals Emphasis on Practical usuage and minimum mathematics Simple language, more than 1000 colour images International quality printing on specially imported paper Why this book has been written ... FEA is gaining popularity day by day & is a sought after dream career for mechanical engineers. Enthusiastic engineers and managers who want to refresh or update the knowledge on FEA are encountered with volume of published books. Often professionals realize that they are not in touch with theoretical concepts as being pre-requisite and find it too mathematical and Hi-Fi. Many a times these books just end up being decoration in their book shelves ... All the authors of this book are from IIT€™s & IISc and after joining the industry realized gap between university education and the practical FEA. Over the years they learned it via interaction with experts from international community, sharing experience with each other and hard route of trial & error method. The basic aim of this book is to share the knowledge & practices used in the industry with experienced and in particular beginners so as to reduce the learning curve & avoid reinvention of the cycle. Emphasis is on simple language, practical usage, minimum mathematics & no pre-requisites. All basic concepts of engineering are included as & where it is required. It is hoped that this book would be helpful to beginners, experienced users, managers, group leaders and as additional reading material for university courses.

Download or read book Doubly Curved Triangular Finite Elements for Shells of Arbitrary Shape written by H. Garnet and published by . This book was released on 1973 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: A doubly curved triangular finite element, suitable for the small deformation analysis of thin shells containing cutouts and irregular boundaries, is described. The element chosen represents the middle surface of the undeformed shell exactly; it contains, in addition to its three vertex nodes, three mid-side nodes that may, if desired, be condensed out of the analysis. The six node version comprised 30 degrees of freedom while its condensed version comprises only 27 degrees of freedom. Two sides of the element lie along line of curvature coordinates; the remaining side is free to represent cutouts or irregular boundaries. The results of this evaluation indicate that, with relatively coarse grids, both versions of the present element can perform capably in the analysis of thin shells, with or without cutouts. (Author).