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OCTOBER 19-20, 2012 - YMCA University of Science & Technology

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Proceedings <strong>of</strong> the National Conference on<br />

Trends and Advances in Mechanical Engineering,<br />

<strong>YMCA</strong> <strong>University</strong> <strong>of</strong> <strong>Science</strong> & <strong>Technology</strong>, Faridabad, Haryana, Oct <strong>19</strong>-<strong>20</strong>, <strong>20</strong>12<br />

Table 3<br />

Sr. No.<br />

Name <strong>of</strong> the attribute for<br />

EDM process<br />

Significance as per the order <strong>of</strong> its influence on<br />

process objectives<br />

1 Pulse time, Ta Very very critical ( rated 8 on a scale <strong>of</strong> 10)<br />

2 Current intensity, I, Very critical ( rated 7 on a scale <strong>of</strong> 10)<br />

3 Pulse Interval, Tb critical ( rated 6.5 on a scale <strong>of</strong> 10)<br />

4 Polarity <strong>of</strong> the Tool electrode Significant but not critical ( rated 5 on a scale <strong>of</strong><br />

P(-)<br />

10)<br />

5 Polarity <strong>of</strong> the Tool-Piece Significant but not critical ( rated 5 on a scale <strong>of</strong><br />

P(+)<br />

10)<br />

6 Working depth, h significant ( rated 4 on a scale <strong>of</strong> 10)<br />

From various graphs <strong>of</strong> the process variables for Electric Discharge Machining process, the interactions between<br />

the various attributes have been analyzed as below table :<br />

Dependency <strong>of</strong><br />

attributes<br />

Table 4<br />

Dependency on attributes<br />

I Ta Tb P(-) P(+) h<br />

I --- <strong>20</strong>% 35% 25% 30% 40%<br />

Ta 40% --- 35% --- 55% ---<br />

Tb 35% 60% --- 50% 40% 50%<br />

P(-) --- 30% 60% --- 60% ---<br />

P(+) 40% --- <strong>20</strong>% 15% --- 40%<br />

h --- 25% --- 40% 50% ---<br />

The combined matrix as used for the permanent calculation <strong>of</strong> the inheritance effect <strong>of</strong> the attributes and their<br />

interdependencies is further represented in below table:<br />

Dependency <strong>of</strong><br />

attributes<br />

Table 5<br />

Dependency on attributes<br />

I Ta Tb P(-) P(+) h<br />

I 0.70 0.<strong>20</strong> 0.35 0.25 0.30 0.40<br />

Ta 0.40 0.80 0.35 --- 0.55 ---<br />

Tb 0.35 0.60 0.65 0.50 0.40 0.50<br />

P(-) --- 0.30 0.60 0.50 0.60 ---<br />

P(+) 0.40 --- 0.<strong>20</strong> 0.15 0.50 0.40<br />

h --- 0.25 --- 0.40 0.50 0.40<br />

In order to calculate the Permanent <strong>of</strong> the Matrix [P] as shown below, the number <strong>of</strong> terms has been represented<br />

in Micros<strong>of</strong>t EXCEL and computations have been done in EXCEL which can be easily used for the sensitivity<br />

analysis <strong>of</strong> the attributes on the Electrical Discharge Machining process.<br />

Table 6<br />

I Ta Tb P(-) P(+) h<br />

0.70 0.<strong>20</strong> 0.35 0.25 0.30 0.40<br />

0.40 0.80 0.35 --- 0.55 ---<br />

[P] = 0.35 0.60 0.65 0.50 0.40 0.50<br />

--- 0.30 0.60 0.50 0.60 ---<br />

0.40 --- 0.<strong>20</strong> 0.15 0.50 0.40<br />

--- 0.25 --- 0.40 0.50 0.40<br />

Since the Micros<strong>of</strong>t EXCEL worksheet is dynamic enough to explore the effect <strong>of</strong> changes in the<br />

interdependency factor in the Matrix [P] in particular constructed for the EDM process. For the present<br />

computation, the effect <strong>of</strong> present state <strong>of</strong> the Interdependencies <strong>of</strong> the attributes, the pictorial representation <strong>of</strong><br />

the computations for the Subgrouping under various groupings is shown in below table:<br />

613

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