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NATURAL FREQUENCIES OF VERTICAL PROCESS VESSELS USING THE PERSONAL COMPUTER

机译：使用个人计算机的垂直过程船只的自然频率

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摘要

In the analysis of vertical process vessels found in the petrochemical industry, such as fractionators, distillation columns, smoke stacks, etc., an important parameter used in wind and seismic analyses is the fundamental frequency of such equipment. Except for very simple columns of uniform wall thickness and uniform weight distribution, no easy method exists to obtain such frequencies. The finite element method can always be used to obtain natural frequencies, but for a designer working with his desk top personal computer, the time and effort required for a finite element solution often exceeds the time and resources available. This paper describes a method to obtain natural frequencies of tall vertical or long horizontal process vessels using the personal computer and a spread sheet program such as Lotus 1-2-3 or similar. Rayleigh's method is the basis for frequency calculations. All integrations and other lengthy arithmetical operations are broken down into manageable segments and are then automatically combined to yield the desired frequencies. Any number of sections of different stiffness can be used, combined with any number of sections of different mass. Although this method is chiefly used for cantilever type vertical towers or smoke stacks, it can also be used to find frequencies of equipment with two or more supports; for example, horizontal vessels on two supports or vertical vessels supported on the ground with lateral supports at higher elevations. Results of dynamometer measurements on a vibrating refinery fractionators are given and compared with numerical calculations using the method described in this paper.
机译：在分析石化工业中发现的垂直过程容器，如分馏器，蒸馏塔，烟囱等，风和地震分析中使用的重要参数是这种设备的基本频率。除了非常简单的均匀壁厚柱和均匀的重量分布外，不存在易于易于获得这种频率的方法。有限元方法可以始终用于获得自然频率，但是对于使用桌面个人计算机的设计者，有限元解决方案所需的时间和精力通常超过可用的时间和资源。本文描述了一种使用个人计算机获得高垂直或长水平工艺容器的自然频率的方法，以及诸如Lotus 1-2-3或类似的涂层的涂层程序。 Rayleigh的方法是频率计算的基础。所有集成和其他冗长的算术操作都分解为可管理的段，然后自动组合以产生所需的频率。可以使用任何数量的不同刚度的部分，与任何不同质量的截面相结合。虽然这种方法主要用于悬臂式垂直塔或烟囱，但它也可用于找到具有两个或更多个支持的设备的频率;例如，两个支撑件或垂直血管上的水平容器，在地面上支撑，横向支撑升高在升高的升高。给出了振动炼油厂测量器的测量结果测量结果，并使用本文中描述的方法与数值计算进行比较。

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