Vibration Analysis of a Floating Roof Subjected to Radial Second Mode of Sloshing

Vibration Analysis of a Floating Roof Subjected to Radial Second Mode of Sloshing
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径向二模态晃动下浮顶的振动分析

DOI:
10.1115/1.3148083
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发表时间:
2010
影响因子:
1
通讯作者:
K. Ishida
K. Ishida
中科院分区:
工程技术4区
文献类型:
--
作者:
M. Utsumi;K. Ishida

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在以前的论文中,提出了一种用于圆柱形储油罐中浮顶耦合非线性晃动振动的经济有效的模态分析方法。这种方法被扩展到的情况下,其中的径向第二模式的晃动引起的屋顶甲板的平面外的变形,诱导的甲板周围的浮筒的椭圆形变形。首先,从甲板的平面外变形的斜率计算甲板的径向收缩,并确认以下两点:(i)该径向收缩的周向变化导致浮筒的椭圆变形,以及(ii)目前的径向收缩的理论预测与LS-DYNA获得的数值结果吻合良好。基于这些点,通过将甲板的收缩视为浮筒的强制位移来计算浮筒中产生的应力。数值结果表明:(a)浮筒的椭圆变形引起较大的周向面内应力;(B)甲板厚度的增加对甲板径向收缩和浮筒内应力的减小作用大于对甲板面外变形的减小作用;以及(c)对于甲板的平面外变形的固定值,甲板的径向收缩随着甲板半径的减小而增加。
In a previous paper, a cost-efficient modal analysis method for the vibration of a floating roof coupled with nonlinear sloshing in a circular cylindrical oil storage tank is presented. This method is extended to the case in which the out-of-plane deformation of the roof-deck caused by the radial second mode of sloshing induces an elliptical deformation of the pontoon around the deck. First, the radial contraction of the deck is calculated from the slope of the out-of-plane deformation of the deck, and the following two points are confirmed: (i) the circumferential variation in this radial contraction results in the elliptical deformation of the pontoon, and (ii) the present theoretical prediction for the radial contraction is in good agreement with a numerical result obtained by LS-DYNA . Based on these points, the stresses arising in the pontoon are calculated by considering the contraction of the deck as an enforced displacement of the pontoon. Numerical results show that (a) the elliptical deformation of the pontoon causes a large circumferential in-plane stress, (b) reduction achieved by the increase in the thickness of the deck is larger for the radial contraction of the deck and the stresses in the pontoon than for the out-of-plane deformation of the deck, and (c) the radial contraction of the deck for a fixed value of the out-of-plane deformation of the deck increases with the decrease in the radius of the deck.
DOI: 10.1115/pvp2007-26249
发表时间: 2009-04
期刊: --
影响因子: --
作者:
T. Matsui
通讯作者: T. Matsui