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黄培云双对数粉体压制方程的应用

APPLICATIONS OF HUANG PEIYUN'S DOUBLE LOGARITHMIC EQUATION OF POWDER COMPACTING

  • 摘要: 本文以粉体等静压制实践为依据,着重介绍黄培云双对数粉体压制方程的推广应用。认为通过数学处理可将该式变化为非对数形式\\rmD_\rmc\rm = \frac\rmD_\rmm\rmD_\rmo\rme^\rm(P/M)^\rm1/m\rmD_\rmm\rm - \rmD_\rmo\rm + \rmD_\rmo\rme^\rm(P/M)^\rm1/m\11种粉体等静压制实验数据验证表明,上式精度较高(Dc计/Dc实=1±0.01),具有实用价值。文中对该式进行了解析,指出上式即为粉体等静压制的压制压力——压坯密度曲线的数学表达式且其斜率为\\frac\rmd\rmD_\rmc\rmdP\rm = \frac\rmD_\rmm\rmD_\rmo\rm(\rmD_\rmm\rm - \rmD_\rmo\rm)\rme^\rm(P/M)^\rm1/m\rmM \cdot m\rmD_\rmm\rm - \rmD_\rmo\rm + \rmD_\rmo\rme^\rm(P/M)^\rm1/m\rm^\rm2\rm(\frac\rmP\rmM\rm)^\rm1 - 1/m\

     

    Abstract: In this paper the extended applications of Huang Peiyun’s double logarithmic equation of Powder Compacting are emphatically introduced on the basis of isostatically pressing practice. It is recognized that the equation can be turned into non-logarithmic form by mathematic treatment. Experimental data of 11 kinds of powder isostatically pressed show that the above equation has high accuracy and is practical. Tne equation has been analyzed and is indicalive of a mathematic expression of pressure-green density curve for powder compacting. The slop of this curve is as follows:\\rmD_\rmc\rm = \frac\rmD_\rmm\rmD_\rmo\rme^(\frac\rmP\rmM)^\frac\rm1\rmm\rmD_\rmm\rm - \rmD_\rmo\rm + \rmD_\rmo\rme^(\frac\rmP\rmM)^\frac\rm1\rmm\Experimental data of 11 kinds of powder isostatically pressed show that the above equation has high accuracy and is practical. The equation has analyzed and is indicalive of a mathematic expression of pressure-green density curve for powder compacting. The slop of this curve is as follows:\\frac\rmd\rmD_\rmc\rmdP\rm = \frac\rmD_\rmm\rmD_\rmo(\rmD_\rmm\rm - \rmD_\rmo)\rme^(\frac\rmP\rmM)^\frac\rm1\rmm\rmM \cdot \rmm\rmD_\rmm\rm - \rmD_\rmo\rm + \rmD_\rmo\rme^(\frac\rmP\rmM)^\frac\rm1\rmm^\rm2(\frac\rmP\rmM)^\rm1 - \frac\rm1\rmm\

     

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