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Differential Geometry Applied To Curve And Surface Design


Differential Geometry Applied To Curve And Surface Design
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Differential Geometry Applied To Curve And Surface Design Foundations


Differential Geometry Applied To Curve And Surface Design Foundations
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Author : Anthony William Nutbourne
language : en
Publisher: Ellis Horwood
Release Date : 1988

Differential Geometry Applied To Curve And Surface Design Foundations written by Anthony William Nutbourne and has been published by Ellis Horwood this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.




Differential Geometry Applied To Curve And Surface Design


Differential Geometry Applied To Curve And Surface Design
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Author : Anthony W. Nutbourne
language : en
Publisher:
Release Date : 1984

Differential Geometry Applied To Curve And Surface Design written by Anthony W. Nutbourne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.




Differential Geometry Applied To Curve And Surface Design


Differential Geometry Applied To Curve And Surface Design
DOWNLOAD
Author : Anthony William Nutbourne
language : en
Publisher:
Release Date : 1988

Differential Geometry Applied To Curve And Surface Design written by Anthony William Nutbourne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.




Differential Geometry Applied To Curve And Surface Design


Differential Geometry Applied To Curve And Surface Design
DOWNLOAD
Author : Anthony W. Nutbourne
language : en
Publisher:
Release Date : 1988

Differential Geometry Applied To Curve And Surface Design written by Anthony W. Nutbourne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.




Gear Geometry And Applied Theory


Gear Geometry And Applied Theory
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Author : Faydor L. Litvin
language : en
Publisher: Cambridge University Press
Release Date : 2004-09-06

Gear Geometry And Applied Theory written by Faydor L. Litvin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-06 with Technology & Engineering categories.


This revised, expanded, edition covers the theory, design, geometry and manufacture of all types of gears and gear drives. This is an invaluable reference for designers, theoreticians, students, and manufacturers. This edition includes advances in gear theory, gear manufacturing, and computer simulation. Among the new topics are: 1. New geometry for modified spur and helical gears, face-gear drives, and cycloidal pumps. 2. New design approaches for one stage planetary gear trains and spiral bevel gear drives. 3. An enhanced approach for stress analysis of gear drives with FEM. 4. New methods of grinding face gear drives, generating double crowned pinions, and improved helical gear shaving. 5. Broad application of simulation of meshing and TCA. 6. New theories on the simulation of meshing for multi-body systems, detection of cases wherein the contact line on generating surfaces may have its own envelope, and detection and avoidance of singularities of generated surfaces.



Differential Geometry Of Curves And Surfaces With Singularities


Differential Geometry Of Curves And Surfaces With Singularities
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Author : Masaaki Umehara
language : en
Publisher: Algebraic and Differential Geo
Release Date : 2021-09

Differential Geometry Of Curves And Surfaces With Singularities written by Masaaki Umehara and has been published by Algebraic and Differential Geo this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09 with Mathematics categories.


This book provides a unique and highly accessible approach to singularity theory from the perspective of differential geometry of curves and surfaces. It is written by three leading experts on the interplay between two important fields - singularity theory and differential geometry. The book introduces singularities and their recognition theorems, and describes their applications to geometry and topology, restricting the objects of attention to singularities of plane curves and surfaces in the Euclidean 3-space. In particular, by presenting the singular curvature, which originated through research by the authors, the Gauss-Bonnet theorem for surfaces is generalized to those with singularities. The Gauss-Bonnet theorem is intrinsic in nature, that is, it is a theorem not only for surfaces but also for 2-dimensional Riemannian manifolds. The book also elucidates the notion of Riemannian manifolds with singularities. These topics, as well as elementary descriptions of proofs of the recognition theorems, cannot be found in other books. Explicit examples and models are provided in abundance, along with insightful explanations of the underlying theory as well. Numerous figures and exercise problems are given, becoming strong aids in developing an understanding of the material. Readers will gain from this text a unique introduction to the singularities of curves and surfaces from the viewpoint of differential geometry, and it will be a useful guide for students and researchers interested in this subject.



Shape Interrogation For Computer Aided Design And Manufacturing


Shape Interrogation For Computer Aided Design And Manufacturing
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Author : Nicholas M. Patrikalakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-02-14

Shape Interrogation For Computer Aided Design And Manufacturing written by Nicholas M. Patrikalakis 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 2002-02-14 with Computers categories.


Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between the areas geometric modeling and solid modeling. Apart from the differential geometry topics covered, the entire book is based on the unifying concept of recasting all shape interrogation problems to the solution of a nonlinear system. It provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, and geodesics.



Differential Geometry Of Curves And Surfaces


Differential Geometry Of Curves And Surfaces
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Author : Manfredo P. do Carmo
language : en
Publisher: Courier Dover Publications
Release Date : 2016-12-14

Differential Geometry Of Curves And Surfaces written by Manfredo P. do Carmo and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-14 with Mathematics categories.


One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems. The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume.



Modeling Of Curves And Surfaces In Cad Cam


Modeling Of Curves And Surfaces In Cad Cam
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Author : Mamoru Hosaka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Modeling Of Curves And Surfaces In Cad Cam written by Mamoru Hosaka 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 2012-12-06 with Computers categories.


1 Aims and Features of This Book The contents of t. his book were originally planned t. o be included in a book en titled Geometric lIIodeling and CAD/CAM to be written by M. Hosaka and F. Kimura, but since the draft. of my part of the book was finished much earlier than Kimura's, we decided to publish this part separately at first. In it, geometrically oriented basic methods and tools used for analysis and synthesis of curves and surfaces used in CAD/CAM, various expressions and manipulations of free-form surface patches and their connection, interference as well as their qualit. y eval uation are treated. They are important elements and procedures of geometric models. And construction and utilization of geometric models which include free-form surfaces are explained in the application examples, in which the meth ods and the techniques described in this book were used. In the succeeding book which Kimura is to write, advanced topics such as data structures of geometric models, non-manifold models, geometric inference as well as tolerance problems and product models, process planning and so on are to be included. Conse quently, the title of this book is changed to Modeling of Curves and Surfaces in CAD/CAM. Features of this book are the following. Though there are excellent text books in the same field such as G. Farin's Curves and Surfaces for CAD /CAM[l] and C. M.