Computational Tensor Analysis Of Shell Structures

Computational Tensor Analysis Of Shell Structures Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Computational Tensor Analysis Of Shell Structures book. This book definitely worth reading, it is an incredibly well-written.

Computational Tensor Analysis of Shell Structures

Author : Steve Naomis,Paul C.M. Lau
Publisher : Springer Science & Business Media
Page : 321 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642842436

Get Book

Computational Tensor Analysis of Shell Structures by Steve Naomis,Paul C.M. Lau Pdf

This book presents a method which is capable of evaluating the deformation characteristics of thin shell structures A free vibration analysis is chosen as a convenient means of studying the displacement behaviour of the shell, enabling it to deform naturally without imposing any particular loading conditions. The strain-displacement equations for thin shells of arbitrary geometry are developed. These relationships are expressed in general curvilinear coordinates and are formulated entirely in the framework of tensor calculus. The resulting theory is not restricted to shell structures characterized by any particular geometric form, loading or boundary conditions. The complete displacement and strain equations developed by Flugge are approximated by the curvilinear finite difference method and are applied to computing the natural frequencies and mode shapes of general thin shells. This approach enables both the displacement components and geometric properties of the shell to be approximated numerically and accurately. The selection of an appropriate displacement field to approximate the deformation of the shell within each finite difference mesh is discussed in detail. In addition, comparisons are made between the use of second and third-order finite difference interpolation meshes.

The Finite Element Analysis of Shells - Fundamentals

Author : Dominique Chapelle,Klaus-Jurgen Bathe
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 53,7 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662052297

Get Book

The Finite Element Analysis of Shells - Fundamentals by Dominique Chapelle,Klaus-Jurgen Bathe Pdf

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.

Reliability and Optimization of Structural Systems ’90

Author : A. Der Kiureghian,P. Thoft-Christensen
Publisher : Springer Science & Business Media
Page : 399 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642843624

Get Book

Reliability and Optimization of Structural Systems ’90 by A. Der Kiureghian,P. Thoft-Christensen Pdf

This proceedings volume contains papers presented at the Third Scientific Meeting of the IFIP Working Group on "Reliabilty and Optimization of Structural Systems". The contributions reflect recent developments in the field of modern structural systems optimization and reliability theory and point out directions for further research. Also perspectives for the education in this field were discussed.

Reliability and Optimization of Structural Systems ’91

Author : Rüdiger Rackwitz,Palle Thoft-Christensen
Publisher : Springer Science & Business Media
Page : 486 pages
File Size : 42,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642847530

Get Book

Reliability and Optimization of Structural Systems ’91 by Rüdiger Rackwitz,Palle Thoft-Christensen Pdf

This proceedings volume contains 38 papers presented at the 4th Working Conference on "Rel iability· and Optimization of Structural Systems", held at the Technical University of Munich, Germany, September 11- 13, 1991. The Working Conference was organised by the IFIP (Interna tional Federation for Information Processing) Working Group 7.5 of Technical Committee 7 and was the fourth in a series, following similar conferences held at the University of Aalborg, Den mark, May 1987, at the Imperial College, London, UK, September 1988 and at the University of California, Berkeley, California, USA, March 1990. The Working Conference was attended by 54 participants from 16 countries. The objectives of Working Group 7.5 are: • to promote modern structural systems optimization and reliability theory, • to advance international cooperation in the field of structural system optimization and reliability theory, • to stimulate research, development and application of structural system optimization and reli ability theory, • to further the dissemination and exchange of information on reliability and optimization of structural systems • to encourage education in structural system optimization and reliability theory. At present the members of the Working Group are: A. H.-S. Ang, U.S.A. M. Grimmelt, FRG G. A ugwti, Italy N. C. Lind, Canada M. J. Baker, UK H. O. Mad&en, Denmark P. Bjerager, Norway R. E. Melcher~, Australia C. A. Cornell, U.S.A. F. Mo~e~, U.S.A.

Boundary Element Analysis of Nonhomogeneous Biharmonic Phenomena

Author : Charles V. Camp,G.Steven Gipson
Publisher : Springer Science & Business Media
Page : 261 pages
File Size : 50,7 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9783642847011

Get Book

Boundary Element Analysis of Nonhomogeneous Biharmonic Phenomena by Charles V. Camp,G.Steven Gipson Pdf

At the date of this writing, there is no question that the boundary element method has emerged as one of the major revolutions on the engineering science of computational mechanics. The emergence of the technique from relative obscurity to a cutting edge engineering analysis tool in the short space of basically a ten to fifteen year time span is unparalleled since the advent of the finite element method. At the recent international conference BEM XI, well over one hundred papers were presented and many were pub lished in three hard-bound volumes. The exponential increase in interest in the subject is comparable to that shown in the early days of finite elements. The diversity of appli cations of BEM, the broad base of interested parties, and the ever-increasing presence of the computer as an engineering tool are probably the reasons for the upsurge in pop ularity of BEM among researchers and industrial practitioners. Only in the past few years has the BEM audience become large enough that we have seen the development of specialty books on specific applications of the boundary element method. The present text is one such book. In this work, we have attempted to present a self-contained treatment of the analysis of physical phenomena governed by equations containing biharmonic operators. The biharmonic operator defines a very important class of fourth-order PDE problems which includes deflections of beams and thin plates, and creeping flow of viscous fluids.

Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method

Author : Zhiye Zhao
Publisher : Springer Science & Business Media
Page : 203 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642843822

Get Book

Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method by Zhiye Zhao Pdf

This book investigates the various aspects of shape optimization of two dimensional continuum structures, including shape design sensitivity analysis, structural analysis using the boundary element method (BEM), and shape optimization implementation. The book begins by reviewing the developments of shape optimization, followed by the presentation of the mathematical programming methods for solving optimization problems. The basic theory of the BEM is presented which will be employed later on as the numerical tool to provide the structural responses and the shape design sensitivities. The key issue of shape optimization, the shape design sensitivity analy sis, is fully investigated. A general formulation of stress sensitivity using the continuum approach is presented. The difficulty of the modelling of the ad joint problem is studied, and two approaches are presented for the modelling of the adjoint problem. The first approach uses distributed loads to smooth the concentrated adjoint loads, and the second approach employs the singu larity subtraction method to remove the singular boundary displacements and tractions from the BEM equation. A novel finite difference based approach to shape design sensitivity is pre sented, which overcomes the two drawbacks of the conventional finite difference method. This approach has the advantage of being simple in concept, and eas ier implementation. A shape optimization program for two-dimensional continuum structures is developed, including structural analysis using the BEM, shape design sensitiv ity analysis, mathematical programming, and the design boundary modelling.

Shell Structures: Theory and Applications (Vol. 2)

Author : Wojciech Pietraszkiewicz,Ireneusz Kreja
Publisher : CRC Press
Page : 361 pages
File Size : 49,5 Mb
Release : 2009-09-22
Category : Technology & Engineering
ISBN : 9780203859766

Get Book

Shell Structures: Theory and Applications (Vol. 2) by Wojciech Pietraszkiewicz,Ireneusz Kreja Pdf

Shell Structures. Theory and Applications, Volume 2 contains 77 contributions from over 17 countries, reflecting a wide spectrum of scientific and engineering problems of shell structures. The papers are divided into six broad groups: 1. General lectures; 2. Theoretical modeling; 3. Stability; 4. Dynamics; 5. Numerical analysis; 6. Engineering

Nonlinear Theory of Shallow Shells

Author : Iosif I. Vorovich
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 51,5 Mb
Release : 2008-01-08
Category : Technology & Engineering
ISBN : 9780387227764

Get Book

Nonlinear Theory of Shallow Shells by Iosif I. Vorovich Pdf

This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.

Wave Breaking

Author : Carlos M. Lemos
Publisher : Springer Science & Business Media
Page : 205 pages
File Size : 53,7 Mb
Release : 2013-03-13
Category : Science
ISBN : 9783642846885

Get Book

Wave Breaking by Carlos M. Lemos Pdf

In this monograph, a finite difference algorithm for study- ing two dimensional wave breaking in the vertical plane is developed. The essential feature of this algorithm is the combination of the Volume-of-Fluid (VOF) technique for arbi- trary free surfaces and the k-E turbulence model. This me- thodology allows a self-contained study for wave transforma- tion processes in shallow water before, during and after breaking. This capability is illustrated in several calcula- tions. This book will be of interest for final year graduates, postgraduates and researchers working in the fields of tur- bulence modelling, wave hydrodynamics, coastal engineering, and oceanography of coastal regions.

The Boundary Element Method for Groundwater Flow

Author : Erwin K. Bruch
Publisher : Springer Science & Business Media
Page : 125 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642845772

Get Book

The Boundary Element Method for Groundwater Flow by Erwin K. Bruch Pdf

In this book the application of the boundary element method to the solution of the Laplace equation is examined. This equation is of fundamental importance in engineering and science as it describes different types of phenomena, inclu- ding the groundwater flow applications highlighted in this book. Special subjects such as numerical integration, subdi- visionof the domain into regions and other computational aspects are discussed in detail in the first chapters. To demonstrate the accuracy and efficiency of the boundary ele- ment method, results obtained when solving the Laplace equa- tion have been compared against known analytical solutions. Other chapters deal with problems such as steady and unstea- dy flow in addition to infiltration problems. The applica- tions demonstrate that the boundary element method provides a powerful solution technique which can be effectively ap- plied to solve this type of problem.

Engineering Optimization in Design Processes

Author : Hans A. Eschenauer,Claus Mattheck,Niels Olhoff
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642843976

Get Book

Engineering Optimization in Design Processes by Hans A. Eschenauer,Claus Mattheck,Niels Olhoff Pdf

These proceedings contain the texts of 37 contributions presented at the International Conference on Engineering Optimization in an Industrial Environment, which took place on 3 - 4 September 1990 at the Karlsruhe Nuclear Hesearch Center, I~H Germany. The presentations consisted of oral and poster contributions arranged in five sessions: • Shape and layout optimization • Structural optimization with advanced materials • Optimal designs with special structural and material beha viour • Sensitivity analysis - Programme systems • Optimization with stability constraints - Special problems The editors wish to express their appreciation to all authors and invited speakers for their in teresting contributions. The proceedings cover a wide range of topics in structural optimization representing the present state of the art in the fields of research and in the industrial environment as well. The editors hope that this book will also contribute towards new ideas and concepts in a world of ever decreasing natural resources and ever increasing demands for lighter and yet stronger and safer technical components. I"inally, the editors wish to thank all colleagues who helped in the organisation of the conference, especially Mrs. E. Schroder anq Dr. K.llethge, as well as Mr. A. von lIagen and Mrs. E. Haufelder, Springer Publishing Company, Heidelberg for the good cooperation and help in the publication of these proceedings.

A New Boundary Element Formulation in Engineering

Author : Tania G.B. DeFigueiredo
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 54,9 Mb
Release : 2013-03-12
Category : Science
ISBN : 9783642845048

Get Book

A New Boundary Element Formulation in Engineering by Tania G.B. DeFigueiredo Pdf

1. 1 The Hybrid Displacement Boundary Element Model This work is concerned with the derivation of a numerical model for the solution of boundary-value problems in potential theory and linear elasticity. It is considered a boundary element model because the final integral equation involves some boundary integrals, whose evaluation requires a boundary discretization. Furthermore, all the unknowns are boundary vari ables. The model is completely new; it differs from the classical boundary element formulation ·in the way it is generated and consequently in the fi nal equations. A generalized variational principle is used as a basis for its derivation, whereas the conventional boundary element formulation is based on Green's formula (potential problems) and on Somigliana's identity (elas ticity), or alternatively through the weighted residual technique. 2 The multi-field variational principle which generates the formulation in volves three independent variables. For potential problems, these are the potential in the domain and the potential and its normal derivative on the boundary. In the case of elasticity, these variables are displacements in the domain and displacements and tractions on the boundary. For this reason, by analogy with the assumed displacement hybrid finite element model, ini tially proposed by Tong [1] in 1970, it can be called a hybrid displacement model. The final system of equations to be solved is similar to that found in a stiffness formulation. The stiffness matrix for this model is symmetric and can be evaluated by only performing integrations along the boundary.

Virtual Distortion Method

Author : Jan Holnicki-Szulc
Publisher : Springer Science & Business Media
Page : 186 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642844539

Get Book

Virtual Distortion Method by Jan Holnicki-Szulc Pdf

The theory of virtual distortions provides an efficient tool which can be used to treat many problems that differ from the physical point of view. The objective of this book is to present a general concept of the Virtual Distortion Method with the necessary theoretical background and a variety of its applications to problems of structural analysis and design. The book is focussed more on theoretical aspects of the problems than on the practical design of structurÄB. Nevertheless, a number of numerical algorithms discussed in the book has already been developed as a computational system capable to solve various problems of structural analysis.

Plate Stability by Boundary Element Method

Author : Abbas Elzein
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 49,8 Mb
Release : 2013-03-07
Category : Technology & Engineering
ISBN : 9783642844294

Get Book

Plate Stability by Boundary Element Method by Abbas Elzein Pdf

1. 1 Historical Background Thin plates and shells are widely used structural elements in numerous civil, mechanical, aeronautical and marine engineering design applications. Floor slabs, bridge decks, concrete pavements, sheet pile retaining walls are all, under normal lateral loading circumstances, instances of plate bending in civil engineering. The problem of elastic instability of plates occurs when load is applied in a direction parallel to the plane of the plate. The deck of a bridge subjected to a strong wind loading, the web of a girder under the action of shear forces transmitted by the flanges, the turbine blade of a machinery undergoing longitudinal temperature differentials, would all eventually buckle when the applied load, or its temperature equivalent in the last case, exceeds a certain limit, that is the buckling load. Although the plate may exhibit a considerable post-buckling strength, the buckling load is considered in many design instances, especially in aeronautical and marine engineering, as a serviceability limit because of the abrupt and substantial change in the dimensions and shape of the buckled plate. Nevertheless, the post-buckling region retains its importance either as an essential safety margin or as a stage of loading actually reached under normal loading conditions. The design engineer will therefore need rigorous tools of analysis to predict, in addition to the buckling load, the deflections and stresses at both buckling and initial post-buckling stages.

An Artificial Intelligence Approach to Integrated Circuit Floorplanning

Author : Marwan A. Jabri
Publisher : Springer Science & Business Media
Page : 164 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642844898

Get Book

An Artificial Intelligence Approach to Integrated Circuit Floorplanning by Marwan A. Jabri Pdf

In 1984, while I was following his postgraduate course on VLSI design, my supervisor Dr. David Skellern, asked me if I was interested in investigating intelligent approaches to automatic Ie floorplanning. He told me then: "a circuit that works always looks nice, has a clever data and control flow. A fast way to look at students' Ie projects is by looking at their fioorplans.". Later, I took a course on Knowledge Engineering (KE) and Artificial Intelligence (AI) with Professor John Gero, who encouraged me to investigate this area of design automation. The resources for such development were really poor at IS&E as KE was a relatively new field of research in Australia at that time. \'Vhatever the difficulties (a good programmmer never blames his tools as David Skellern used to tell me), I undertook the investigation of Knowledge-Based approaches to Ie ftoor planning as my PhD thesis subject with the help of my supervisor and John Gero and the encouragement of all researchers at IS&E , who provided an exciting environment for my research. This volume reports the results of my research during 1984, 1985, 1986, and 1987. The voulme deals with Ie ftoorplanning from four perspectives: floorplanning strategy, Knowledge Engineering in the Ie domain, the development of knowledge-based fioorplan ning processes and new floorplanning algorithms for use in the overall strategy.