基于NURBS曲线的螺杆转子型线反向设计研究
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(1. 江南大学江苏省食品先进制造装备技术重点实验室,江苏 无锡 214122;2. 江南大学理学院,江苏 无锡 214122)

作者简介:

黄海楠,男,江南大学在读硕士研究生。

通讯作者:

何雪明(1966—),男,江南大学教授,博士。E-mail:hxuem2003@163.com

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基金项目:

国家自然科学基金资助项目(编号:51275210)


Study on inverse design of screw rotor profile based on NURBS curve
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(1. Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology, Jiangnan University, Wuxi, Jiangsu 214122, China; 2. School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China)

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    摘要:

    提出基于啮合线法和NURBS曲线的螺杆转子型线设计方法。在啮合线法求转子型线过程中,结合龙贝格求积公式,求解NURBS曲线的包络条件,实现只由控制点、权因子和节点矢量决定的整段式的NURBS曲线啮合线的反向设计。通过该方法得到误差在0.5 μm以内的复盛型线,验证了利用NURBS曲线进行螺杆转子反向设计的可行性。并利用NURBS曲线的局部修改性对型线进行性能优化,使转子的泄露三角形面积减少了5%,面积利用系数上升了1%。为双螺杆压缩机转子型线优化设计提供了一种理论和方法。

    Abstract:

    The design method of screw rotor based on meshing method and NURBS curve is proposed. In the process of the designing, the formula of the quadrature was obtained. This paper solveed the envelop condition of NURBS curve, and realizes the reverse design of the whole line of NURBS curve which was determined by the control point, weight factor and node vector. Through this method, the compound line of the error was obtained within 0.5 μm microns and the relation between the performance and meshing lines is explored. The feasibility of reverse design of screw rotor by using NURBS curve wes verified. Using the local modification of NURBS curve to optimize the type line, the leakage triangle area of the rotor was reduced by 5%, and the area utilization coefficient increased by 1%. The theory and method for the optimization design of rotor line of double screw compressor is provided.

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黄海楠,何雪明,张荣,等.基于NURBS曲线的螺杆转子型线反向设计研究[J].食品与机械,2018,34(3):93-97,145.
HUANGHainan, HEXueming, ZHANGRong, et al. Study on inverse design of screw rotor profile based on NURBS curve[J]. Food & Machinery,2018,34(3):93-97,145.

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  • 收稿日期:2017-10-08
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  • 在线发布日期: 2023-03-17
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