煤炭工程 ›› 2024, Vol. 56 ›› Issue (8): 32-37.doi: 10. 11799/ ce202408006

• 设计技术 • 上一篇    下一篇

选煤厂筒仓内混凝土填料工程量的求解计算

段元元   

  1. 中煤科工集团北京华宇工程有限公司天津分公司,天津 300121
  • 收稿日期:2024-03-22 修回日期:2024-07-02 出版日期:2023-08-20 发布日期:2025-01-17
  • 通讯作者: 段元元 E-mail:18522009218@163.com

Solving and calculating the volume of concrete fill material in the silos of coal preparation plants#br#

  • Received:2024-03-22 Revised:2024-07-02 Online:2023-08-20 Published:2025-01-17

摘要:

针对选煤厂筒仓底部结构空间形状复杂,混凝土填料体积计算精度不足的问题,详细探讨了两种不同的计算方法。首先,提出一种基于Excel表格参数化输入及空间分割技术的方案,即将复杂区域划分为n个可量化处理的弓形面积,通过累加这些细分区域的体积以近似得到整体填料体积,这种方法称为分割法;其次,运用微积分原理对筒仓内壁与方形开口间过渡区域的三维几何体进行解析计算,从而得出更为精确的数学模型。通过对这两种方法的对比分析及与实测结果的比对,结果发现,分割法优势在于直观易懂,适合快速估算,误差为-0.90%;而微积分法则具有较高的理论精度,适用于复杂形态下的精确计算,误差低至0.46%。

关键词: 选煤厂筒仓, 混凝土填料工程量, 分割法, 微积分法, 现场验证

Abstract:

Silos are widely used facilities in coal preparation plants and other material handling units, but the complex spatial configuration at the bottom of silos presents challenges for accurate calculation of concrete infill volume. This paper thoroughly investigates two distinct calculation methods: Firstly, a parameterized Excel-based approach is introduced, combining space segmentation technology, where the complex area is divided into n manageable sectors of arc-shaped surfaces. The total infill volume is approximated by accumulating the volumes of these segmented regions, referred to as the segmentation method. Secondly, employing principles of calculus, an analytical computation method is developed to determine the exact volume of the three-dimensional geometric body between the silo’s inner wall and the square opening, thus generating a more precise mathematical model. Through comparative analysis of these two methods and validation against actual measurements, it is found that the segmentation method offers the advantage of intuitive comprehension and expedient estimation, with an error margin of -0.90%. Conversely, the calculus method delivers higher theoretical precision and is suitable for accurate calculations in complex geometries, achieving an error rate as low as 0.46%. The research aims to optimize the calculation method of concrete filling quantity quantity in the silo of coal preparation plant, improve the calculation accuracy, and provide accurate reference basis for the subsequent design and construction of similar projects. [1-9]

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