The introduction of stainless-steel legged tanks is rather recent, and their use increased in the last decades in exponential way, especially in food industry and agricultural applications since they proved to be simple to prefabricate and transport, easy to clean and chemically inert. Despite their worldwide diffusion also in high seismicity areas, most of them were not designed with earthquake-based criteria as emerged by the catastrophic consequences and heavy losses observed, even recently, after several major earthquakes. By means of incremental dynamic analyses on the finite element models of 140 winemaking and storage legged tanks, the present paper, evaluates the main features of the dynamic response and for each vessel provides the lognormal cumulative fragility functions, for three different limit states of each vessel. Then, for each limit state, by means of nonlinear regression analyses, the median and the dispersion parameters of the best fitting lognormal function of every tank were statistically elaborated in order to define the response surfaces of the parameters. The response surfaces, provided for 3-, 4- and 5-leg unanchored tanks, are defined on the basis of few geometrical tank data. The analytical expressions provided in the paper, represent a practical and useful tool to directly calculate the fragilities of legged vessel. These, obviously, will allow the fast assessment of the seismic vulnerability of the tanks in agricultural facilities located in seismic prone areas.

中文翻译：

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定义和用于酿酒和储藏的无锚圆柱腿钢罐的抗震性能和易碎曲线

不锈钢腿式储罐的推出是相当新的，并且在过去的几十年中，它们的使用呈指数增长，特别是在食品工业和农业应用中，因为事实证明它们易于制造和运输，易于清洁且具有化学惰性。尽管它们在全世界范围内也分布在高地震活动地区，但大多数设计并没有采用基于地震的标准，因为灾难性后果和重大损失甚至在最近几场大地震之后都已出现。通过对140个酿酒和储存腿式储罐的有限元模型进行增量动态分析，评估了动态响应的主要特征，并针对每个容器提供了对数正态累积脆弱性函数，针对每个容器的三个不同极限状态。然后，对于每个极限状态，通过非线性回归分析，统计确定每个槽的最佳拟合对数正态函数的中值和离散参数，以定义参数的响应面。根据少量几何储罐数据定义了为3支，4支和5支非锚定储罐提供的响应面。本文提供的分析表达式代表了直接计算腿船脆弱性的实用工具。这些显然可以快速评估位于地震多发地区的农业设施中储罐的地震易损性。为了确定参数的响应面，对每个储罐的最佳拟合对数正态函数的中位数和弥散参数进行了统计学处理。根据少量几何储罐数据定义了为3支，4支和5支非锚定储罐提供的响应面。本文提供的分析表达式代表了直接计算腿船脆弱性的实用工具。这些显然可以快速评估位于地震多发地区的农业设施中储罐的地震易损性。为了确定参数的响应面，对每个储罐的最佳拟合对数正态函数的中位数和弥散参数进行了统计学处理。根据少量几何储罐数据定义了为3支，4支和5支非锚定储罐提供的响应面。本文提供的分析表达式代表了直接计算腿船脆弱性的实用工具。这些显然可以快速评估位于地震多发地区的农业设施中储罐的地震易损性。代表直接计算腿船脆弱性的实用工具。这些显然可以快速评估位于地震多发地区的农业设施中储罐的地震易损性。代表直接计算腿船脆弱性的实用工具。这些显然可以快速评估位于地震多发地区的农业设施中储罐的地震易损性。