多场耦合下双螺杆捏合机转子型线泛函反演机理研究

Combined of gears meshing with the differential geometry theory, the project of youth science foundation supported by NSFC (No.:5090523) studied the profiles design and optimization principles for twin-screw kneaders based on multi-variables coupling method. The configuration principle of the rotor profile of twin-screw kneaders was constructed using by enveloping method. A new calculation method for rotor dynamic characteristics based on distinct element method was proposed. CAD/CAE software of collaborative optimization design based on the virtual prototyping for twin-screw kneaders was constructed and one novel rotor profiles of twin-screw kneader is presented. And the model machine was developed according to the optimum profiles. A patent was applied and opened. Eight papers were published and accepted. And four papers were SCI indexed and five papers were EI(or EI journal source)indexed..In this project, the multi-field coupling mechanism of the screw rotor, conjugated meshing with the configuration principle of the rotor profile based on general functional theory, the relationships of multi-parameter and their inversion design method as well as the performance simulation will be studied. Then a twin-screw kneader prototype will be developed and the experiments will be performed. The quantitative relationship of the evaluation of design parameters of the rotor profile will be further explored on the basis of above studies. It will reveal the nonlinear functional inversion mechanism on the profile design of twin-screw kneader under multi-field coupling.And the new design theories and methods of rotor profile based on the general functional theory for the twin-screw kneader will be constructed. It will be expected having a breakthrough progress in multi-field coupling mechanism of the screw rotor, profile design theory and method, new product development and performance improvement, etc.

青年科学基金项目5090523结合齿轮啮合与微分几何学理论，研究了多学科变量耦合的双螺杆捏合机型线设计方法，利用包络法建立捏合机转子型线，提出了一种基于离散单元法的转子动力特性计算方法，构建了基于虚拟样机技术的双螺杆捏合机CAD/CAE设计分析系统，设计出一种新型转子型线并完成样机研制；公开发明专利1项，发表和录用论文8篇，SCI收录4篇，EI收录(或刊源)5篇。.本项目拟通过多场耦合作用机理、基于广义泛函理论的转子型线共轭啮合与构型原理、多变量多参数关联规律与转子宏微观形貌反演设计等螺杆转子设计的关键科学问题开展深入而系统的研究，据此研发一种双螺杆捏合机样机并进行实验。深入探讨转子型线设计参数评价指标的定量关联关系表征，揭示多场耦合作用下转子型线泛函反演机理，形成基于广义泛函理论的转子型线设计新理论与新方法。期望在多场耦合作用机理、型线设计理论与方法、新产品研发等方面取得突破性进展。

目前常用的啮合型转子(齿轮、螺杆等)端面型线均采用直线、摆线、圆弧、椭圆、抛物线及其包络线表示，采用事先给定若干段一次或二次曲线然后求其包络线的方法建立转子型线方程，并对型线进行改进及修正，无法从根本上提高其工作性能。为此，本项目提出了具有共轭啮合特征的螺杆转子型线泛函演化设计理论与方法。. 本项目研究了常规螺纹元件端面型线的啮合原理、端面曲线的形成过程，给出了常规螺杆转子端面型线的参数方程，建立了共轭啮合型线的解析包络原理以及基于泛函的转子共轭型线；基于转子型线演化分析模型，演化出多种基于相对运动的典型螺纹端面型线；研究了由Taylor级数表征的涡旋线及其共轭包络线，研究发现各种型线之间存在着一定的演化关系；采用粒子示踪法并结合数学统计方法，研究了在特定加工工艺条件下，对比了各螺杆构型与机筒构成的不同流道的拉伸、剪切能力及分散分布混合能力；研究了多场耦合作用下设计参数对双螺杆捏合机输送性能、混合性能、捏合剪切性能的分析和计算方法；开发了实验用样机，搭建测试平台；通过观测两种不同颜色色母粒在某新型双螺杆捏合机中混合挤出产物的微观特征形貌，验证了以某一螺杆组作为转子元件的双螺杆捏合机实现混合加工的可行性。. 提出的具有共轭啮合特征的双螺杆捏合机转子型线泛函演化设计理论与方法，突破了传统齿轮型线设计思想局限，为新型双螺杆捏合机螺杆转子的设计提供了一种新的方法。本项目提出的型线泛函演化设计理论与方法还可推广到其它具有共轭运动性质的转子类型线设计中，如压缩机、螺杆泵等转子型线设计以及齿轮共轭齿形的设计中，拓宽了该方法的应用范围。. 在Polymer Engineering and Science、Tribology International、机械工程学报等国内外高水平期刊发表论文13篇，其中SCI收录7篇，EI收录9篇；获权发明/实用新型专利及软件著作权5项，公开发明专利3项；培养博士研究生2名、硕士研究生6名。