singular setting area
English translation: machine settings near a mathematical singularity
| 19:20 Aug 31, 2016 |
| English language (monolingual) [PRO] Tech/Engineering - Mechanics / Mech Engineering | |||||||
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|  Selected response from: Piyush Ojha United Kingdom Local time: 18:42 | ||||||
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| SUMMARY OF ALL EXPLANATIONS PROVIDED | ||||
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| 3 | machine settings near a mathematical singularity |
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| 1 | single spindle area |
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| Discussion entries: 9 | |
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Answers
6 hrs confidence: 
single spindle area Explanation: It might refer to "single spindle" area. "Although some of the three-spindle machines can match this work area, the single-spindle machines use the space more efficiently. In order to use three spindles simultaneously, the work area must be divided into three parallel sections of relatively narrow width. ... Fewer setups is another key aspect of the single-spindle machine’s efficiency." http://www.mmsonline.com/articles/single-spindle-productivit... |
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19 hrs confidence:
machine settings near a mathematical singularity Explanation: First a disclaimer: I am relying on a hazy memory of a mechanical engineering paper I chanced to read a few years back, combined with a certain amount of educated guesswork. Sorry, I haven't the time to check it more carefully. A rigid body – the cutting tool in this case – has five 'degrees of freedom', that is its position is given by three spatial coordinates and its orientation by a further two. The range of values these parameters can take constitutes a five-dimensional mathematical space. Let's call it 'tool space'. I expect a five-axis machining centre has five independent settings as well. Each of these settings is described by a number and the range of values these settings can take defines another five-dimensional mathematical space. Let's call it 'machine space'. The mechanical arrangement of the machining centre defines a mapping from the machine space to the tool space, i.e., with each machine setting is associated a particular position and orientation of the tool. It seems -- and this is consistent with what I recall – that this mapping (mathematical function) has a singularity, much as the function y = 1/x has a singularity at x=0. I think 'singular setting area' in this context means machine settings near the mathematical singularity in machine space. I am, however, puzzled by the statement that “broad movements of the axes” are demanded in this area. I had expected that near a singularity, the position and orientation of the tool would depend extremely sensitively on machine settings, i.e. a slight change in machine settings would cause a large change in the tool's position and orientation. |
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