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啮合同向双螺杆四面体间隙体积的数学模型
引用本文:贾洪国 曹达鹏. 啮合同向双螺杆四面体间隙体积的数学模型[J]. 北京化工大学学报(自然科学版), 1998, 25(3): 91-96
作者姓名:贾洪国 曹达鹏
作者单位:北京化工大学应用数理系,北京化工大学化学工程学院
摘    要:
通过剖析啮合同向双螺杆四面体间隙的几何性状,建立了四面体间隙体积的数学模型,准确地求出了四面体间隙的体积,并用三次样条函数近似,使得模型得以简化,为设计和深入研究双螺杆挤出机提供了有力的工具。

关 键 词:四面体间隙体积;三次样条插值函数;端面曲线;数学模型

Mathematical model of tetrahedral gap in the intermeshing co rotating twin screw
Affiliation:( 1) Department of Applied Mathematics and Physics,2) College of Chemical Engineering,Beijing University of Chemical Technology,Beijing,100029)
Abstract:
By studying the shape and geometrical properties of tetrahedral gap in the intermeshing co rotating twin screw, a mathematical model to precisely calculate the volume of tetrahedral gap has been developed in this paper, which was simplified by approximation using a third order spline function, served as a powerful tool for designing and deepening research into twin screw.
Keywords:volume of tetrahedral gap  third order spline function  cross section curve  mathematical model
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