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• For simple single value problems use derivatives and find the maxima/minima.
• As with most engineering problems we want to get the highest return, with the minimum investment. In this case we want to minimize costs, while increasing cutting speeds.
• EFFICIENCY will be the key term - it suggests that good quality parts are produced at reasonable cost.
• Cost is a primarily affected by,
• The production throughput is primarily affected by,
- accuracy including dimensions and surface finish
• The factors that can be modified to optimize the process are,
- cutting velocity (biggest effect)
• We previously considered the log-log scale graph of Taylor’s tool life equation, but we may also graph it normally to emphasize the effects.
• There are two basic conditions to trade off,
- Low cost - exemplified by low speeds, low mrr, longer tool life
- High production rates - exemplified by high speeds, short tool life, high mrr
*** There are many factors in addition to these, but these are the most commonly considered
• A simplified treatment of the problem is given below for optimizing cost,
• We can also look at optimizing production rates,
• We can now put the two optimums in perspective,