Kinematic Geometry of Surface Machining

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CRC Press, Dec 14, 2007 - Technology & Engineering - 536 pages
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The principle of Occam’s razor loosely translates to “the simplest solution is often the best”. The author of Kinematic Geometry of Surface Machining utilizes this reductionist philosophy to provide a solution to the highly inefficient process of machining sculptured parts on multi-axis NC machines. He has developed a method to quickly calculate the necessary parameters, greatly reduce trial and error, and achieve efficient machining processes by using less input information, and in turn saving a great deal of time.

This unique method will allow youto calculate optimal values for all major parameters of sculptured surface machining on multi-axis NC machines.It is much faster than conventional methods because it requires only minimal input information for the development of extremely efficient machining operations. Radzevich simply utilizes the geometric information of a particular part surface to be machined for developing optimal surface machining process rather than wasting time dealing with unnecessary data.

This one-of-a-kind resource guides you through this cutting-edge technique beginning with an analytical description of part surfaces, the basics of differential geometry for sculptured surfaces, and the principal elements of the multi-parametric motion on a rigid body in E3 space theory. The book reveals the analytical method for investigating cutting tool geometry and explains a set of described conditions required for proper part surface generation. Next, the author illustrates the selection of criterion for optimization and describes the synthesis of optimal machining operations. He includes examples of the DG/K based method of surface generation implementation.

Written by a leading expert in the field who holds over 150 patents, Kinematic Geometry of Surface Machining invokes Occam’s well-known philosophical principle so that you can apply the simplest solution to achieve optimal, time-saving surface machining processes.

 

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Contents

Geometry
3
Chapter 2 Kinematics of Surface Generation
27
Chapter 3 Applied Coordinate Systems and Linear Transformations
63
Fundamentals
87
Chapter 4 The Geometry of Contact of Two Smooth Regular Surfaces
89
Chapter 5 Profiling of the FormCutting Tools of Optimal Design
153
Chapter 6 The Geometry of the Active Part of a Cutting Tool
217
Chapter 7 Conditions of Proper Part Surface Generation
287
Application
405
Chapter 9 Selection of the Criterion of Optimization
407
Chapter 10 Synthesis of Optimal Surface Machining Operations
427
Chapter 11 Examples of Implementation of the Differential GeometryKinematics DGKBased Method of Surface Generation
459
Conclusion
493
Notation
495
Index
501
Back cover
509

Chapter 8 Accuracy of Surface Generation
367

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Page xviii - Occams razor principle, according to which all things being equal, the simplest solution tends to be the best one.
Page xviii - Occam's razor states that the explanation of any phenomenon should make as few assumptions as possible, eliminating, or "shaving off," those that make no difference in the observable predictions of the explanatory hypothesis of theory.

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