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Determining the Tube Bundle Streamlining Critical Parameters Using the Numerical Experiment Method

机译:使用数值实验方法确定管束流线型关键参数

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The article is devoted to development and application of mathematical models describing the most dangerous mechanisms through which vibrations are excited in tube bundles and blunt cylindrically shaped structures, and to development of reliable calculation methods for describing these models, which would make it possible to obtain prompt data for designing and subsequent operation of the considered structural elements. For solving such problems, a comprehensive approach is required, which should be based on a combined use of numerical experiments on computers and experimental investigations on full-scale equipment. The authors have developed a procedure for numerically investigating the hydrodynamic forces arising during stalled streamlining and the tube bundle vibrations caused by these forces. The procedure is based on using the developed mathematical model describing fluid-elastic excitation of vibrations in a bundle of elastic tubes placed in external cross flow. The problem of studying fluid-elastic excitation is brought to stability analysis, which is carried out with the assumption about a linear behavior of destabilizing forces for undisturbed state of elastic tubes. A theoretical investigation of the developed mathematical model was carried out, from which the necessary and sufficient condition of system stability has been obtained in terms of system dimensionless parameters (mass, damping, and velocity). An algorithm for numerically determining the matrices of linear hydrodynamic coupling coefficients for particular tube bundles is developed. The validity of the algorithm and the computer programs developed on its basis are checked by comparing the results of test calculations with the bank of known experimental data. A procedure is proposed for determining the matrices of linear hydrodynamic coupling coefficients in bundles having a regular layout of their cross section and a large number of tubes through calculating these matrices for a relatively small but sufficiently representative fragment of such bundle. The values of critical coolant velocity are determined as a function of a dimensionless parameter incorporating the logarithmic decrement of vibrations and the dimensionless bundle mass parameter.
机译:本文致力于数学模型的开发和应用,这些数学模型描述了在管束和钝的圆柱状结构中激发振动的最危险机制,并开发了描述这些模型的可靠计算方法,这将使获得及时提示成为可能。用于设计和考虑的结构元素的后续操作的数据。为了解决这些问题,需要一种综合的方法,该方法应基于计算机上的数值实验和全尺寸设备的实验研究的结合使用。作者已经开发出一种程序,可以对失速流线过程中产生的水动力以及由这些力引起的管束振动进行数值研究。该程序基于开发的数学模型,该数学模型描述了放置在外部错流中的一束弹性管中振动的流体弹性激励。将流体弹激研究的问题引入稳定性分析,该分析是在假定弹性管不受干扰状态下的稳定力线性行为的前提下进行的。对已开发的数学模型进行了理论研究,从中获得了系统稳定性的必要和充分条件,这些条件取决于系统的无量纲参数(质量,阻尼和速度)。开发了一种用于数值确定特定管束的线性流体动力耦合系数矩阵的算法。通过将测试计算结果与大量已知实验数据进行比较,可以检查算法和基于该算法开发的计算机程序的有效性。提出了一种通过为这样的束的相对较小但足够代表性的片段计算这些矩阵来确定具有规则横截面布局和大量管的束中的线性流体动力耦合系数矩阵的方法。临界冷却剂速度的值取决于结合振动的对数减量的无量纲参数和无量纲束质量参数。

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