Geometry Principles and methods of Digital Manufacturing of Complex Surfaces (hardback edition) (Chinese Edition) - Hardcover

Ding HanZhu Li Min

9787030303479: Geometry Principles and methods of Digital Manufacturing of Complex Surfaces (hardback edition) (Chinese Edition)

Hardcover

ISBN 10: 7030303474 ISBN 13: 9787030303479

Publisher: Science Press, 2011

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This book is a systemic summary of Ding Han and Zhu Limin research findings concerning basic theories of digital manufacturing of complex surface. There are all together seven chapters. The first four chapters deals with the basics of geometry, progressing from the curved line and theory of surface, geometry on curved surface, high dimensional differential geometry, to Lie group and Lie algebra. The step-by-step approach incorporates the basic theories of modern differential geometry and kinematics, their inner links and a unified analytical method. It is also enriched by the lasted developments both at home and abroad. The fifth to the seventh chapters uses differential geometry and optimization as a tool and introduce new principles and methods of curved surface measurement, processing and clamping position proposed by the authors. The specific contents include: differentiability conditions of point-curved surface normal error functions and the analytic calculation of second derivative, the unified method system of scattered point-cloud surface approximation, analysis and expression of rotary cutter swept envelope, local reconstruction and overall shape control principles, contact of free curved lines and tool-path planning theory and methods of high-order point contact numerical control machining, GPU computation method of direction cone global reaching, judgment of clamping complete constraint and second-order algorithm for fixture location error analysis, etc. As a cutting-edge, innovative and practical book, it is of great value for researchers and engineering technicians in such fields as numerical control machining, CAD/CAM, computer graphics, geometrical precision measurement and robot manipulation. It can also be used as a postgraduate textbook and reference book for related majors in institutes of higher learning.

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