PSI - Issue 14

Rahul Saini et al. / Procedia Structural Integrity 14 (2019) 362–374 R. Saini, S. Saini, R. Lal, and I. V. Singh / Structural Integrity Procedia 00 (2018) 000–000

369

8

Table 1. Comparison of Ω for first three modes, (material properties (Lal and Ahlawat, 2015)). ∗ ↓ ‐10 0 5.8274 35.3161 84.5161 * 5.8274 � 35.3161 � 84.5161 � * 5 * 20.7194 57.5734 * * 20.7194 � 57.5734 � * 0 0

24.0538 68.9221 24.0538 � 68.9221 � 9.1895 48.1241 9.1895 � 48.1241 �

10.2158 39.7711 89.1041 4.9351 29.7200 74.1561 10.2158 � 39.7711 � 89.1041 � 4.9351 � 29.72 � 74.1561 � 10.216 � 39.773 � - 4.935 � 29.736 � ‐ 7.5738 29.4854 66.0598 3.6588 22.0338 54.9777 7.5738 � 29.4854 � 66.0598 � 3.6588 � 22.0338 � 54.9777 � 7.576 � 29.496 � ‐ 3.659 � 22.052 � ‐ 15.4897 47.4235 97.6309 11.8425 38.6369 83.6475 15.4897 � 47.4235 � 97.6309 � 11.8425 � 38.6369 � 83.6475 � 15.2490 41.7750 80.3700 12.8819 35.8936 70.6780 15.2490 � 41.7750 � 80.3700 � 12.8819 � 35.8936 � 70.6780 � 14.6820 8.6933 7.4955 6.8967 6.4689 6.1267 14.6820 � 8.6933 � 7.4955 � 6.8967 � 6.4689 � 6.1267 � 4.1978 2.4855 2.1431 1.9719 1.8496 1.7517 4.1978 � 2.4855 � 2.1431 � 1.9719 � 1.8496 � 1.7517 � 3 4 5

5

20

0

5

Table 2. Comparison of critical buckling load N �∗ � in compression. Periphery ↓ \ 0 1 2 C

S

Table 3. Values of frequency parameter Periphery ∗ ↓ 0 C ‐20 *

1 * *

2 * *

3 * *

4 * *

5 * *

‐10

0.0551 8.4466 11.8288 14.3824 16.5133

0

7.9447 11.1873 13.6266 15.6593

7.7508 10.9647 13.3752 15.3816

7.6372 10.8436 13.2428 15.2380

7.5582 10.7639 13.1580 15.1475

7.4988 10.7064 13.0980 15.0842

10 20 30

S

‐20 ‐10

* *

* *

* *

* *

* *

* *

0

3.0960 8.2215 11.2072 13.5478

3.0333 7.8559 10.6866 12.9093

2.9024 7.7029 10.4985 12.6910

2.7983 7.6143 10.3972 12.5770

2.7149 7.5547 10.3321 12.5056

2.6470 7.5111 10.2863 12.4560

10 20 30

1 Values fr m r f r nc Lal and Ahlawat, 2015, 2 Values fr m r f r nc Pradhan and Chakraverty, 2015, * Valu n t xi t u t buckling ,