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Author : Olga Axenenko,Alexander Tsvelikh
Publisher : Unknown
Page : 307 pages
File Size : 55,5 Mb
Release : 2012
Category : Computational mathematics and application
ISBN : 0646594044
Author : Dominique Chapelle,Klaus-Jurgen Bathe
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 54,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662052297
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.
Author : Maria Radwańska,Anna Stankiewicz,Adam Wosatko,Jerzy Pamin
Publisher : John Wiley & Sons
Page : 430 pages
File Size : 42,6 Mb
Release : 2017-02-06
Category : Technology & Engineering
ISBN : 9781118934548
Plate and Shell Structures: Selected Analytical and Finite Element Solutions Maria Radwañska, Anna Stankiewicz, Adam Wosatko, Jerzy Pamin Cracow University of Technology, Poland Comprehensively covers the fundamental theory and analytical and numerical solutions for different types of plate and shell structures Plate and Shell Structures: Selected Analytical and Finite Element Solutions not only provides the theoretical formulation of fundamental problems of mechanics of plates and shells, but also several examples of analytical and numerical solutions for different types of shell structures. The book contains advanced aspects related to stability analysis and a brief description of modern finite element formulations for plates and shells, including the discussion of mixed/hybrid models and locking phenomena. Key features: 52 example problems solved and illustrated by more than 200 figures, including 30 plots of finite element simulation results. Contents based on many years of research and teaching the mechanics of plates and shells to students of civil engineering and professional engineers. Provides the basis of an intermediate-level course on computational mechanics of shell structures. The book is essential reading for engineering students, university teachers, practitioners and researchers interested in the mechanics of plates and shells, as well as developers testing new simulation software.
Author : Erasmo Carrera,Maria Cinefra,Marco Petrolo,Enrico Zappino
Publisher : John Wiley & Sons
Page : 416 pages
File Size : 52,7 Mb
Release : 2014-07-29
Category : Mathematics
ISBN : 9781118536650
The finite element method (FEM) is a computational tool widelyused to design and analyse complex structures. Currently,there are a number of different approaches to analysis using theFEM that vary according to the type of structure being analysed:beams and plates may use 1D or 2D approaches, shells and solids 2Dor 3D approaches, and methods that work for one structure aretypically not optimized to work for another. Finite Element Analysis of Structures Through UnifiedFormulation deals with the FEM used for the analysis of themechanics of structures in the case of linear elasticity. Thenovelty of this book is that the finite elements (FEs) areformulated on the basis of a class of theories of structures knownas the Carrera Unified Formulation (CUF). It formulates 1D, 2D and3D FEs on the basis of the same 'fundamental nucleus' that comesfrom geometrical relations and Hooke's law, and presents both 1Dand 2D refined FEs that only have displacement variables as in 3Delements. It also covers 1D and 2D FEs that make use of 'real'physical surfaces rather than ’artificial’ mathematicalsurfaces which are difficult to interface in CAD/CAE software. Key features: Covers how the refined formulation can be easily andconveniently used to analyse laminated structures, such as sandwichand composite structures, and to deal with multifield problems Shows the performance of different FE models through the 'besttheory diagram' which allows different models to be compared interms of accuracy and computational cost Introduces an axiomatic/asymptotic approach that reduces thecomputational cost of the structural analysis without affecting theaccuracy Introduces an innovative 'component-wise' approach to deal withcomplex structures Accompanied by a website hosting the dedicated software packageMUL2 (www.mul2.com) Finite Element Analysis of Structures Through UnifiedFormulation is a valuable reference for researchers andpractitioners, and is also a useful source of information forgraduate students in civil, mechanical and aerospaceengineering.
Author : J. E. Akin
Publisher : Elsevier
Page : 563 pages
File Size : 41,8 Mb
Release : 2014-06-28
Category : Technology & Engineering
ISBN : 9780080506470
The finite element method (FEM) is an analysis tool for problem-solving used throughout applied mathematics, engineering, and scientific computing. Finite Elements for Analysis and Design provides a thoroughlyrevised and up-to-date account of this important tool and its numerous applications, with added emphasis on basic theory. Numerous worked examples are included to illustrate the material. Akin clearly explains the FEM, a numerical analysis tool for problem-solving throughout applied mathematics, engineering and scientific computing Basic theory has been added in the book, including worked examples to enable students to understand the concepts Contains coverage of computational topics, including worked examples to enable students to understand concepts Improved coverage of sensitivity analysis and computational fluid dynamics Uses example applications to increase students' understanding Includes a disk with the FORTRAN source for the programs cided in the text
Author : Debabrata Ray
Publisher : John Wiley & Sons
Page : 996 pages
File Size : 41,6 Mb
Release : 2015-12-14
Category : Technology & Engineering
ISBN : 9781118996959
Comprehensively introduces linear and nonlinear structural analysis through mesh generation, solid mechanics and a new numerical methodology called c-type finite element method Takes a self-contained approach of including all the essential background materials such as differential geometry, mesh generation, tensor analysis with particular elaboration on rotation tensor, finite element methodology and numerical analysis for a thorough understanding of the topics Presents for the first time in closed form the geometric stiffness, the mass, the gyroscopic damping and the centrifugal stiffness matrices for beams, plates and shells Includes numerous examples and exercises Presents solutions for locking problems
Author : Ahmed K. Noor,Harvey G. McComb
Publisher : Elsevier
Page : 470 pages
File Size : 42,6 Mb
Release : 2014-05-20
Category : Technology & Engineering
ISBN : 9781483145648
Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.
Author : David Taniar,Osvaldo Gervasi,Beniamino Murgante,Eric Pardede,Bernady O. Apduhan
Publisher : Springer Science & Business Media
Page : 620 pages
File Size : 45,8 Mb
Release : 2010-03-16
Category : Computers
ISBN : 9783642121647
The four-volume set LNCS 6016 - 6019 constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2010, held in Fukuoka, Japan, in March 2010. The four volumes contain papers presenting a wealth of original research results in the field of computational science, from foundational issues in computer science and mathematics to advanced applications in virtually all sciences making use of computational techniques. The topics of the fully refereed papers are structured according to the five major conference themes: computational methods, algorithms and scientific application, high performance computing and networks, geometric modelling, graphics and visualization, advanced and emerging applications, and information systems and technologies. Moreover, submissions from more than 30 special sessions and workshops contribute to this publication. These cover These cover topics such as geographical analysis, urban modeling, spatial statistics, wireless and ad hoc networking, logical, scientific and computational aspects of pulse phenomena in transitions, high-performance computing and information visualization, sensor network and its applications, molecular simulations structures and processes, collective evolutionary systems, software engineering processes and applications, molecular simulations structures and processes, internet communication security, security and privacy in pervasive computing environments, and mobile communications.
Author : Alexander I. Bobenko TU Berlin,Peter Schröder,John M. Sullivan,Günter M. Ziegler
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 40,5 Mb
Release : 2008-03-27
Category : Mathematics
ISBN : 9783764386214
This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. The carefully edited collection of essays gives a lively, multi-facetted introduction to this emerging field.
Author : Fadi Aldakheel,Blaž Hudobivnik,Meisam Soleimani,Henning Wessels,Christian Weißenfels,Michele Marino
Publisher : Springer Nature
Page : 587 pages
File Size : 48,5 Mb
Release : 2022-03-12
Category : Science
ISBN : 9783030873127
This Festschrift is dedicated to Professor Dr.-Ing. habil. Peter Wriggers on the occasion of his 70th birthday. Thanks to his high dedication to research, over the years Peter Wriggers has built an international network with renowned experts in the field of computational mechanics. This is proven by the large number of contributions from friends and collaborators as well as former PhD students from all over the world. The diversity of Peter Wriggers network is mirrored by the range of topics that are covered by this book. To name only a few, these include contact mechanics, finite & virtual element technologies, micromechanics, multiscale approaches, fracture mechanics, isogeometric analysis, stochastic methods, meshfree and particle methods. Applications of numerical simulation to specific problems, e.g. Biomechanics and Additive Manufacturing is also covered. The volume intends to present an overview of the state of the art and current trends in computational mechanics for academia and industry.
Author : Bert Jüttler,Bernd Simeon
Publisher : Springer
Page : 290 pages
File Size : 43,5 Mb
Release : 2015-12-21
Category : Mathematics
ISBN : 9783319233154
Isogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools. It thus bridges the gap between numerical analysis and geometry, and moreover it allows to tackle new cutting edge applications at the frontiers of research in science and engineering. This proceedings volume contains a selection of outstanding research papers presented at the second International Workshop on Isogeometric Analysis and Applications, held at Annweiler, Germany, in April 2014.
Author : M. Mori,T. Mitsui
Publisher : Elsevier
Page : 396 pages
File Size : 48,9 Mb
Release : 2002-12-03
Category : Computers
ISBN : 0444509941
The 20th century saw tremendous achievements and progress in science and technology. Undoubtedly, computers and computer-related technologies acted as one of vital catalysts for accelerating this progress in the latter half of the century. The contributions of mathematical sciences have been equally profound, and the synergy between mathematics and computer science has played a key role in accelerating the progress of both fields as well as science and engineering. Mathematical sciences will undoubtedly continue to play this vital role in this new century. In particular, mathematical modeling and numerical simulation will continue to be among the essential methodologies for solving massive and complex problems that arise in science, engineering and manufacturing. Underpinning this all from a sound, theoretical perspective will be numerical algorithms. In recognition of this observation, this volume focuses on the following specific topics. (1) Fundamental numerical algorithms (2) Applications of numerical algorithms (3) Emerging technologies. The articles included in this issue by experts on advanced scientific and engineering computations from numerous countries elucidate state-of-the-art achievements in these three topics from various angles and suggest the future directions. Although we cannot hope to cover all the aspects in scientific and engineering computations, we hope that the articles will interest, inform and inspire members of the science and engineering community.
Author : Francesco Tornabene,Nicholas Fantuzzi
Publisher : Società Editrice Esculapio
Page : 824 pages
File Size : 55,5 Mb
Release : 2014-03-01
Category : Technology & Engineering
ISBN : 9788874886876
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, also to “Functionally Graded Materials” (FGMs). They are non-homogeneous materials, characterized by a continuous variation of the mechanical properties through a particular direction. The GDQ numerical solution is compared, not only with literature results, but also with the ones supplied and obtained through the use of different structural codes based on the Finite Element Method (FEM). Furthermore, an advanced version of GDQ method is also presented. This methodology is termed Strong Formulation Finite Element Method (SFEM) because it employs the strong form of the differential system of equations at the master element level and the mapping technique, proper of FEM. The connectivity between two elements is enforced through compatibility conditions.
Author : Steve Naomis,Paul C.M. Lau
Publisher : Springer Science & Business Media
Page : 321 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642842436
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.
Author : Francesco Tornabene,Nicholas Fantuzzi
Publisher : Società Editrice Esculapio
Page : 824 pages
File Size : 51,7 Mb
Release : 2021-12-01
Category : Technology & Engineering
ISBN : 9791220879620
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, also to “Functionally Graded Materials” (FGMs). They are non-homogeneous materials, characterized by a continuous variation of the mechanical properties through a particular direction. The GDQ numerical solution is compared, not only with literature results, but also with the ones supplied and obtained through the use of different structural codes based on the Finite Element Method (FEM). Furthermore, an advanced version of GDQ method is also presented. This methodology is termed Strong Formulation Finite Element Method (SFEM) because it employs the strong form of the differential system of equations at the master element level and the mapping technique, proper of FEM. The connectivity between two elements is enforced through compatibility conditions.