Changing Shapes with Matrices PDF Download

Author: Donald Cohen
Publisher: Donald Cohen
ISBN: 0962167436
Category : Matrices
Languages : en
Pages : 88

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Author: Michel Frémond
Publisher: Springer
ISBN: 3319406825
Category : Science
Languages : en
Pages : 373

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Book Description
This book provides novel insights into two fundamental subjects in solid mechanics: virtual work and shape change. The author explains how the principle of virtual work represents a tool for analysis of the mechanical effects of the evolution of the shape of a system, how it can be applied to observations and experiments, and how it may be adapted to produce predictive theories of numerous phenomena. The book is divided into three parts. The first relates the principle of virtual work to what we observe with our eyes, the second demonstrates its flexibility on the basis of many examples, and the third applies the principle to predict the motion of solids with large deformations. Examples of both usual and unusual shape changes are presented, and equations of motion, some of which are entirely new, are derived for smooth and non-smooth motions associated with, for instance, systems of disks, systems of balls, classical and non-classical small deformation theories, systems involving volume and surface damage, systems with interactions at a distance (e.g., solids reinforced by fibers), systems involving porosity, collisions, and fracturing of solids.

Author: Harry Grundmann
Publisher: CRC Press
ISBN: 9789058095114
Category : Technology & Engineering
Languages : en
Pages : 880

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Book Description
The proceedings contain contributions presented by authors from more than 30 countries at EURODYN 2002. The proceedings show recent scientific developments as well as practical applications, they cover the fields of theory of vibrations, nonlinear vibrations, stochastic dynamics, vibrations of structured elements, wave propagation and structure-borne sound, including questions of fatigue and damping. Emphasis is laid on vibrations of bridges, buildings, railway structures as well as on the fields of wind and earthquake engineering, repectively. Enriched by a number of keynote lectures and organized sessions the two volumes of the proceedings present an overview of the state of the art of the whole field of structural dynamics and the tendencies ot its further development.

Author: F. L. Bookstein
Publisher: Springer Science & Business Media
ISBN: 364293093X
Category : Mathematics
Languages : en
Pages : 201

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Book Description

Author: Steven Wojtal
Publisher: John Wiley & Sons
ISBN: 1119232910
Category : Science
Languages : en
Pages : 612

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Book Description
AN INTEGRATED FRAMEWORK FOR STRUCTURAL GEOLOGY A modern and practice-oriented approach to structural geology An Integrated Framework for Structural Geology: Kinematics, Dynamics, and Rheology of Deformed Rocks builds a framework for structural geology from geometrical description, kinematic analysis, dynamic evolution, and rheological investigation of deformed rocks. The unique approach taken by the book is to integrate these principles of continuum mechanics with the description of rock microstructures and inferences about deformation mechanisms. Field, theoretical and laboratory approaches to structural geology are all considered, including the application of rock mechanics experiments to nature. Readers will also find: Three case studies that illustrate how the framework can be applied to deformation at different levels in the crust and in an applied structural geology context Hundreds of detailed, two-color illustrations of exceptional clarity, as well as many microstructural and field photographs The quantitative basis of structural geology delivered through clear mathematics Written for advanced undergraduate and graduate students in geology, An Integrated Framework for Structural Geology will also earn a place in the libraries of practicing geologists with an interest in a one-stop resource on structural geology.

Author: Can A. Yucesoy
Publisher: Frontiers Media SA
ISBN: 2889741311
Category : Science
Languages : en
Pages : 345

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Book Description
Disclosure statement: Topic Editor Prof. Silvia Salinas Blemker is a Co-founder and Vice President of Springbok, Inc. Charlottesville, VA. All other Topic Editors declare no competing interests with regards to the Research Topic subject.

Author: Lukas Kasper
Publisher: TU Wien Academic Press
ISBN: 3854480377
Category : Technology & Engineering
Languages : en
Pages : 149

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Book Description
To increase the efficiency of energy-intensive industrial processes, thermal energy storages can offer new possibilities. A novel approach is investigated in the project HyStEPs. In this concept, containers filled with PCM are placed at the shell surface of a Ruths steam storage, to increase storage efficiency. In this work, a two-dimensional model using the finite element method is developed to simulate the PCM of the hybrid storage as designed in the HyStEPs project. The apparent heat capacity method is applied in a MATLAB implementation, considering heat transfer by both conduction and natural convection. This successfully validated code can handle any desired layout of materials arranged on a rectangular domain. Furthermore, a parameter study of different dimensions and orientations of the PCM cavity was conducted. The impact of natural convection was found to lead to significantly varying behaviour of the studied cavities with different orientation during the charging process, while it was found to be negligible during the discharging process.

Author: J. Thanh Van Tran
Publisher: Atlantica Séguier Frontières
ISBN: 9782863322338
Category : Cosmology
Languages : en
Pages : 466

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Book Description

Author: Chunfeng Liu
Publisher: Springer
ISBN: 3642274528
Category : Computers
Languages : en
Pages : 742

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Book Description
The two-volume set, CCIS 243 and CCIS 244, constitutes the refereed proceedings of the Second International Conference on Information Computing and Applications, ICICA 2010, held in Qinhuangdao, China, in October 2011. The 191 papers presented in both volumes were carefully reviewed and selected from numerous submissions. They are organized in topical sections on computational statistics, social networking and computing, evolutionary computing and applications, information education and application, internet and web computing, scientific and engineering computing, system simulation computing, bio-inspired and DNA computing, internet and Web computing, multimedia networking and computing, parallel and distributed computing.

Author: Gerald Farin
Publisher: CRC Press
ISBN: 1000403157
Category : Mathematics
Languages : en
Pages : 590

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Book Description
Linear algebra is growing in importance. 3D entertainment, animations in movies and video games are developed using linear algebra. Animated characters are generated using equations straight out of this book. Linear algebra is used to extract knowledge from the massive amounts of data generated from modern technology. The Fourth Edition of this popular text introduces linear algebra in a comprehensive, geometric, and algorithmic way. The authors start with the fundamentals in 2D and 3D, then move on to higher dimensions, expanding on the fundamentals and introducing new topics, which are necessary for many real-life applications and the development of abstract thought. Applications are introduced to motivate topics. The subtitle, A Geometry Toolbox, hints at the book’s geometric approach, which is supported by many sketches and figures. Furthermore, the book covers applications of triangles, polygons, conics, and curves. Examples demonstrate each topic in action. This practical approach to a linear algebra course, whether through classroom instruction or self-study, is unique to this book. New to the Fourth Edition: Ten new application sections. A new section on change of basis. This concept now appears in several places. Chapters 14-16 on higher dimensions are notably revised. A deeper look at polynomials in the gallery of spaces. Introduces the QR decomposition and its relevance to least squares. Similarity and diagonalization are given more attention, as are eigenfunctions. A longer thread on least squares, running from orthogonal projections to a solution via SVD and the pseudoinverse. More applications for PCA have been added. More examples, exercises, and more on the kernel and general linear spaces. A list of applications has been added in Appendix A. The book gives instructors the option of tailoring the course for the primary interests of their students: mathematics, engineering, science, computer graphics, and geometric modeling.