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堆积颗粒系统中颗粒级配的优化
引用本文:侯再恩,张可村.堆积颗粒系统中颗粒级配的优化[J].高校应用数学学报(A辑),2005,20(4):409-416.
作者姓名:侯再恩  张可村
作者单位:1. 西安交通大学,理学院,陕西西安,710049;陕西科技大学,理学院,陕西咸阳,712081
2. 西安交通大学,理学院,陕西西安,710049
摘    要:堆积颗粒系统中的颗粒级配在许多产品的生产中起着重要的作用,它不仅对产品的最终性质有很大影响,而且对许多工艺性质起决定作用.此文首先以不定型耐火材料生产中如何选取合理颗粒级配为背景,把紧密堆积理论与实际生产条件及工艺要求相结合,建立了堆积颗粒系统中颗粒级配的优化模型.然后证明了模型的合理性,并结合模型的特征、针对实际情况构造出了求解该优化模型的算法.计算结果表明所给的优化模型及算法对于堆积颗粒系统中颗粒级配的优化是可行的.

关 键 词:紧密堆积  优化模型  颗粒级配  粒度分布  几何规划
文章编号:1000-4424(2005)04-0409-08
收稿时间:2004-10-12
修稿时间:2004-10-12

Optimization of grain composition in the system of packing particle
HOU Zai-en,ZHANG Ke-cun.Optimization of grain composition in the system of packing particle[J].Applied Mathematics A Journal of Chinese Universities,2005,20(4):409-416.
Authors:HOU Zai-en  ZHANG Ke-cun
Abstract:The grain composition in the system of packing particles plays an important role in production of many products. It has great influence not only on the final quality but also on the technological quality of products. In this paper ,the optimization model of grain composition is presented first on the background of how to select the reasonable grain composition for producing the unshaped refractory in a factory and to combine the conditions of the factory with the theory of packing in compression and craft requests. Then the rationality of model is proved and the solving arithmetic is designed according to the real conditions and property of the model. The results of computation show that the model and the arithmetic are feasible for optimization of grain composition of packing particles in general.
Keywords:packing in compression  optimization model  grain composition  granularity distribution  geometrical programming
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