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17.03: Dynamic properties of unanchored circular ground‐based steel tanks
An analytical approach is developed to evaluate natural and rocking frequencies of liquid‐filled unanchored cylindrical steel tanks. In the proposed simplified model, the bottom plate of the tank is replaced by equivalent vertical and rotational springs. To evaluate natural frequencies, the eigen equation is solved by applying the Lagrange method and Ritz‐type mode shapes for elastically supported cylindrical shells. Formulas are also derived to determine the rocking frequency based on a rotational rigid body motion and results are verified with available experimental data. Also, the effect of increase in kinetic energy of the tank during rocking motion on the natural frequencies of the tank is explored. The effects of tank aspect ratios on the structural responses are also examined considering three models with different height to diameter ratios. The results show that the proposed simplified mechanical model is capable of determining the rocking frequency of unanchored steel liquid‐filled tanks with reasonable accuracy. Also, it is shown that at the onset of rocking mode, the fundamental natural frequency of the tank decreases considerably.
17.03: Dynamic properties of unanchored circular ground‐based steel tanks
An analytical approach is developed to evaluate natural and rocking frequencies of liquid‐filled unanchored cylindrical steel tanks. In the proposed simplified model, the bottom plate of the tank is replaced by equivalent vertical and rotational springs. To evaluate natural frequencies, the eigen equation is solved by applying the Lagrange method and Ritz‐type mode shapes for elastically supported cylindrical shells. Formulas are also derived to determine the rocking frequency based on a rotational rigid body motion and results are verified with available experimental data. Also, the effect of increase in kinetic energy of the tank during rocking motion on the natural frequencies of the tank is explored. The effects of tank aspect ratios on the structural responses are also examined considering three models with different height to diameter ratios. The results show that the proposed simplified mechanical model is capable of determining the rocking frequency of unanchored steel liquid‐filled tanks with reasonable accuracy. Also, it is shown that at the onset of rocking mode, the fundamental natural frequency of the tank decreases considerably.
17.03: Dynamic properties of unanchored circular ground‐based steel tanks
Maheri, Mahmoud R. (author) / Karbaschi, M. E. (author)
ce/papers ; 1 ; 4313-4322
2017-09-01
10 pages
Article (Journal)
Electronic Resource
English
Analytical evaluation of dynamic characteristics of unanchored circular ground-based steel tanks
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