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Advanced Numerical Methods to Optimize Cutting Operations of Five-Axis Milling Machines

Part of the Springer Series in Advanced Manufacturing Book Series

DOI: 10.1007/978-3-540-71121-6

ISBN: 978-3-540-71120-9

Publisher: Springer Berlin Heidelberg - Springer Journals

Jan 1, 2007

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Introduction

Pages: 1 –24

[A variety of on-going research is focused on the development and analysis of methods to decrease the time required to progress from the computer modeling of the design surface to the machining while maintaining or improving the quality of the surface. One of the most important areas is tool path...
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Introduction to Five-Axis NC Machining

Pages: 25 –49

[Numerical control or numerically controlled (NC) machines are automatically operated by commands received by their processing units. The NC machines were first developed soon after World War II and made it possible for a precise and efficient production of large quantities of the desired...
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Fundamental Issues in Tool Path Planning

Pages: 51 –71

[There are a number of issues involved in tool path planning for five-axis NC machining. Four fundamental issues are discussed in this chapter, namely, surface representation, machining strip width estimation, optimal tool orientation and forward step (kinematics) error.]
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Space-Filling Curve Tool Paths

Pages: 73 –95

[An N-dimensional space-filling curve (SFC) is a continuous, surjective1 (onto) function from the unit interval [0, 1] to the N-dimensional unit hypercube [0, 1]N. In particular, a 2-dimensional space-filling curve is a continuous curve that passes through every point of the unit square [0,1]2.]
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Tool Paths in Adaptive Curvilinear Coordinates

Pages: 97 –149

[Space-filling curves tool path generation technique presented in Chap. 4 has been designed for surfaces represented in such a way that the parametric coordinates are changing within a rectangular region. Once a minimal machining strip is evaluated, constructing a basic grid for the SFC...
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Optimization of Rotations

Pages: 151 –183

[Given the general optimization context given in the preceding chapters, we will now analyze a particular but important problem of sequencing the machine rotations. There exists a variety of research focused on the orientation of the cutting tool. The survey of which is given in Chap. 1. However,...
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Theory of Optimal Setup for Five-Axis NC Machining

Pages: 185 –203

[In five-axis machining, the forward step (kinematics) error due to nonlinearity of the machine kinematics can significantly affect the quality of the machined surfaces. In a simple approach, kinematics error between two CC points can be reduced to within a prescribed tolerance by inserting...

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