Calculation of the Required Power of Electric Motors for Overhead Crane Movement Mechanisms Using the Statistical Method

V. Kovalenko, O. Zhuravel, V. Strizhak, S. Iglin, M. Strizhak
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Abstract

The aim of this study is to determine the functional dependence for the calculation of the re-quired power of the electric motor of the traveling mechanism of the overhead traveling crane on the load capacity and span. The set aim is achieved by solving the following problems: figur-ing out how to calculate the power of the electric motor of the overhead traveling crane mecha-nism by the traditional methodology; selecting constants known from the initial data and varia-bles that require additional calculation; collecting and arranging statistical data - values of varia-bles for overhead cranes of different spans and load capacities; determining regression equa-tions based on statistical data - functions of two variables from the load capacity and span; sub-stituting the equations for the power of the overhead traveling crane mechanism from the load capacity and span. In the process of solving the set tasks, it was found that the greatest difficulty is the determination of static resistance and crane mass. Traditional calculation of these parame-ters requires the use of additional reference data and making design decisions of high responsi-bility. When searching for regression equations, the cubic model is-used, which provides high accuracy and does not overload the equation with summands. The most important result is the derivation of the final expression for determining the motor power as a function of two varia-bles - load capacity and span. The importance of the obtained results is that the proposed meth-od of calculation significantly reduces the time for the selection of the electric motor in the de-sign of a new crane, because there is no need to calculate or select additional parameters that are included in the traditional calculation. The proposed regularity is easier to integrate into comput-er-aided design systems. Since the calculation was based on statistical data of cranes manufac-tured and successfully operating, the probability of erroneous calculation is practically excluded.
用统计方法计算桥式起重机运动机构所需的电机功率
本研究的目的是确定桥式起重机行走机构电动机所需功率的计算与负载能力和跨度的函数关系。通过解决以下问题来实现既定目标:找出如何用传统方法计算桥式起重机行走机构电动机的功率;选择从初始数据中已知的常数和需要额外计算的变量;收集和整理统计数据--不同跨度和载荷能力的桥式起重机的变量值;根据统计数据确定回归方程--载荷能力和跨度两个变量的函数;根据载荷能力和跨度对桥式起重机行走机构的功率方程进行细分。在解决既定任务的过程中,我们发现最大的困难在于静态阻力和起重机质量的确定。这些参数的传统计算方法需要使用额外的参考数据,并做出责任重大的设计决策。在寻找回归方程时,使用了立方模型,该模型精度高,且不会使方程中的求和值过多。最重要的结果是推导出了确定电机功率与负载能力和跨度这两个变量之间函数关系的最终表达式。所获结果的重要性在于,建议的计算方法大大缩短了在新起重机设计中选择电机的时间,因为无需计算或选择传统计算中包含的额外参数。建议的正则表达式更容易集成到计算机辅助设计系统中。由于计算是基于起重机制造和成功运行的统计数据,因此实际上排除了计算错误的可能性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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