Modes Of Vibration Of Above Ground Fixed-roof Steel Tanks - Uncor.edu
Modes of Vibration of above ground fixed-roof steel tanks Juan C. Virella Crespo, G.S. Dr. Luis A. Godoy, Chairman 5/15/2002 1
MODES OF VIBRATIONS OF FIXEDROOF TANKS DESCRIPTION OF STEEL TANKS MODELS Modes of vibration of above ground storage steel tanks with fixed roofs, are obtained computationally with ABAQUS finite element program. Three different types of tank roof configuration are considered: dome-roof, cone-roof, plane-roof. The steel tank is considered empty, and self-supported roof. Three different diameter to height (D/H) ratios are considered for each tank roof configuration: D/H 0.24, D/H 0.42, D/H 0.63. 5/15/2002 2
STEEL TANK MODELS Cone-roof tank D/H 0.63 roof slope 3V:16H 5/15/2002 Cone-roof tank D/H 0.63 roof slope 0.75V:12H 3
STEEL TANK MODELS Dome-roof tank D/H 0.63 Roof arc radius 42.062 m 5/15/2002 Plane-roof tank D/H 0.63 4
Cone-roof tank model Cone-roof model D/H 0.63 Roof slope 3V:16H 5/15/2002 Mode 1 T1 0.377 sec. ω1 2.651 Hz Mode 9 T9 0.338 sec. ω9 2.958 Hz 5
Cone-roof tank model Cone-roof model D/H 0.63 Roof slope 0.75V:12H 5/15/2002 Mode 1 T1 0.666 sec. ω1 1.501 Hz Mode 2 T2 0.665 sec. ω2 1.504 Hz 6
Dome-roof tank model Dome-roof model D/H 0.63 Roof arc radius 42.062 m 5/15/2002 Mode 1 T1 0.338 sec. ω1 2.958 Hz 7
Plane-roof tank model Plane-roof model D/H 0.63 5/15/2002 Mode 1 T1 7.873 sec. ω1 0.127 Hz Mode 2 T2 3.773 sec. ω2 0.265 Hz 8
Natural Frequencies and Periods Description of Model: Description of Model: Model of tank: Dome-Roof Tank D/H 0.63 D 30.48 m H 19.337 m Model of tank: Cone Roof Tank D/H 0.63 D 30.48 m H 19.337 m Mode 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5/15/2002 Freq [cycles/sec] 2.9578 2.9578 2.9622 2.9625 3.0455 3.0456 3.0458 3.0459 3.195 3.1952 3.2389 3.239 3.3985 3.3985 3.5512 3.5521 3.6464 3.6466 3.9317 3.9318 T [s] 0.338 0.338 0.338 0.338 0.328 0.328 0.328 0.328 0.313 0.313 0.309 0.309 0.294 0.294 0.282 0.282 0.274 0.274 0.254 0.254 Mode 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Freq [cycles/sec] 2.6511 2.6514 2.6751 2.6752 2.7964 2.7966 2.8008 2.8009 2.9575 2.9575 2.9614 2.9617 2.9994 2.9996 3.0448 3.0448 3.0461 3.0463 3.1939 3.1939 T [s] 0.377 0.377 0.374 0.374 0.358 0.358 0.357 0.357 0.338 0.338 0.338 0.338 0.333 0.333 0.328 0.328 0.328 0.328 0.313 0.313 9
Natural Frequencies and Periods Description of Model: Description of Model: Model of tank: Cone-Roof Tank Roof slope 0.75V:12H D/H 0.63 D 30.48 m H 19.337 m Model of tank: Plane-Roof Tank D/H 0.63 D 30.48 m H 19.337 m Mode 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5/15/2002 Freq [cycles/sec] 1.501 1.5036 1.5037 1.5595 1.5595 1.5958 1.5959 1.7765 1.7766 1.9811 1.9813 2.0232 2.0233 2.0898 2.0899 2.3241 2.3242 2.6716 2.6717 2.9571 T [s] 0.666 0.665 0.665 0.641 0.641 0.627 0.627 0.563 0.563 0.505 0.505 0.494 0.494 0.479 0.479 0.430 0.430 0.374 0.374 0.338 Mode 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Freq [cycles/sec] 0.12702 0.26506 0.26506 0.43592 0.43593 0.49759 0.63922 0.63923 0.76272 0.76273 0.87445 0.87448 1.0628 1.0628 1.1205 1.1412 1.1412 1.3977 1.3978 1.4391 T [s] 7.873 3.773 3.773 2.294 2.294 2.010 1.564 1.564 1.311 1.311 1.144 1.144 0.941 0.941 0.892 0.876 0.876 0.715 0.715 0.695 10
Three different types of tank roof configuration are considered: dome-roof, cone-roof, plane-roof. The steel tank is considered empty, and self-supported roof. Three different diameter to height (D/H) ratios are considered for each tank roof configuration: D/H 0.24, D/H 0.42, D/H 0.63.
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