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Study on Groove Shape in Park Lock System

Page 5

International Journal for Research in Applied Science & Engineering Technology (IJRASET) ISSN: 2321-9653; IC Value: 45.98; SJ Impact Factor: 7.538 Volume 11 Issue IV Apr 2023- Available at www.ijraset.com Radius 2E+09 1.8E+09 1.6E+09 1.4E+09

Eq. Stress

1.2E+09 1E+09 800000000 600000000 400000000 200000000

5.942419392 5.973710312

5.863636364

5.714181259 5.769855066

5.590909091 5.617806883

5.464802619 5.482010661

5.386837491

5.175158873 5.318181818

5.045454545 5.144227411

4.858742038 4.944725257

4.772727273

4.5 4.590174642

4.275933588 4.378192756

4.08431279 4.227272727

3.954545455

3.711058351 3.85053495

3.409090909 3.681818182

2.863636364 3.136363636

2.318181818 2.590909091

2.045454545

1.5 1.772727273

0.954545455 1.227272727

0.409090909 0.681818182

0.136363636

0

Arc Radi us Radius

Figure – 5 C. Groove Height(h) The values of groove height (h) are in the range of 0mm to 4mm. With increase in groove height the stress concentration increases and remain above the permissible yield limit (Re) as can be seen in figure - 6. The Eq. Stress is at the lowest when the h is in the range of 0mm to 0.10 mm. In this range the approximate Eq. stress is 900Mpa. As the effective value is relatively small in comparison to the other two parameters of the groove and the effect are negligible. So, the best option is to eliminate this para meter in the final step. Height 1.2E+09

1E+09

Eq, Stress

8000000 00

6000000 00

4000000 00

2000000 00

4.886363636

4.659090909

4.431818182

4.204545455

3.977272727

3.75

3.522727273

3.295454545

3.068181818

2.840909091

2.613636364

2.386363636

2.159090909

1.931818182

1.865064301

1.755563268

1.704545455

1.585412174

1.477272727

1.381997739

1.307388061

1.25

1.142228077

1.022727273

0.922782122

0.841674461

0.795454545

0.744442828

0.66833977

0.646854615

0.568181818

0.46084524

0.520969025

0.406598213

0.340909091

0.211588646

0.113636364

0.100919352

0.003865864

0

Groove Height Height

Figure – 6 D. Optimization of Groove on arc Radius (r) and Chamfer Angle(α) By using the value range of α and r as received in the previous results and plotting them for the corresponding values of eq. stress as shown in figure – 7. In the following figure the red line represents the data plot of chamfer angle (α) and the black represent arc radius (r). After applying Preiss Method in the pawl groove and setting it for optimization it turns out that the by the influence of both the factor the eq. stress concentration drops even further to the range of 500 Mpa and the max is in the range of 800 Mpa. The range of favourable r is 5mm to 5.5mm and for α it is in between 140o to 170o.

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