Issue 49

S.A. Bochkarev et alii, Frattura ed Integrità Strutturale, 49 (2019) 814-830; DOI: 10.3221/IGF-ESIS.49.15

Clamped-Clamped shells

Clamped-Free shells

 

 

k

Short circuited Open circuited   , %

  , % 12.4942 12.0455 12.7145 10.9758 11.0407 11.9662 10.8539 10.8407 10.6027 11.5569 11.5359 12.1930 10.0074 10.3326 11.5500 10.8496 10.3692 10.3036 10.9483 11.0193 11.8917 9.22498 9.94261

Short circuited Open circuited

1/2

1.00

0.00 0.50 0.95 0.00 0.50 0.95 0.00 0.50 0.95 0.00 0.50 0.95 0.00 0.50 0.95 0.00 0.50 0.95 0.00 0.50 0.95 0.00 0.50 0.95

32.7722 28.0167 15.9592 44.0368 38.5264 21.5175 89.2623 81.4270 45.0888 15.4716 13.3385 7.13355 21.7425 18.7429 9.70433 53.0114 43.6699 20.7597 4.97846 4.27499 2.25033 7.08603 6.04697 3.06832

36.6289 30.9768 17.8405 49.0209 42.7049 24.0634 98.0454 90.0862 49.9111 17.2113 14.7800 7.97309 24.0692 20.7607 10.8434 57.4618 47.9169 22.9591 5.50687 4.72525 2.51305 7.80343 6.68328 3.42595

11.7682 10.5657 11.7885 11.3179 10.8459 11.8313 9.83972 10.6343 10.6952 11.2443 10.8069 11.7689 10.7013 10.7661 11.7380 8.39530 9.72512 10.5944 10.6138 10.5323 11.6749 10.1242 10.5228 11.6555

8.58148 7.78148 5.22212 28.3814 26.7499 17.2344 39.1212 39.0705 37.8442 3.81831 3.47482 2.24936 15.8505 14.1066 7.85436 36.5821 35.7320 20.0218 1.22342 1.11144 0.71178 5.42042 4.69234 2.50227

9.65366 8.71879 5.88609 31.4965 29.7033 19.2967 43.3674 43.3060 41.8567 4.25959 3.87567 2.52362 17.4368 15.5642 8.76154 40.5511 39.4371 22.0848 1.35737 1.23392 0.79643 5.92045 5.15888 2.78760

0.50

0.25

1/10 1.00

0.50

0.25

1/100 1.00

0.50

11.4030 Table 7 : Natural vibration frequencies  (Hz) of the system of coaxial shells at different values of the annular gap k , eccentricity  , and filling level  and varying electrical and kinematic boundary conditions.

  , %

  , %

11.2

11.1

 = 1.00

 = 1.00

10.2

10.4

 = 0.50

 = 0.50

9.3

9.6

8.4

8.8

 = 0.25

 = 0.25

(a) (b) Figure 3 : The relative difference in the frequencies   as a function the eccentricity  at different levels of the fluid in the annular gap  for clamped-clamped (a) and cantilevered shells (b),  1 100. k 0.0 0.2 0.4 0.6 0.8  8.0 0.0 0.2 0.4 0.6 0.8  7.5

825