NURBS螺杆转子啮合线设计方法的研究

范海港; 何雪明; 龙骥

doi:10.13433/j.cnki.1003-8728.20200292

NURBS螺杆转子啮合线设计方法的研究

doi: 10.13433/j.cnki.1003-8728.20200292

范海港^{1, 2,},
何雪明^{1, 2, ,},
龙骥^{1, 2}

1.
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, 江苏无锡 214122

基金项目:

国家自然科学基金项目 51275210

国家自然科学基金项目 5197051779

江苏省产学研联创项目 1078081606192480

江苏省食品先进制造装备技术重点实验室自主研究课题资助项目 FMZ2018Y2

2013年度"六大人才高峰" 1076010241131350

详细信息

作者简介:
范海港(1995-), 硕士研究生, 研究方向为自由曲面、曲线CAD/CAE/CAM, 2082812806@qq.com

通讯作者:
何雪明, 教授, 硕士生导师, hxuem2003@163.com

中图分类号: TH455
计量
- 文章访问数: 163
- HTML全文浏览量: 43
- PDF下载量: 23
- 被引次数: 0
出版历程
- 收稿日期: 2020-06-12
- 刊出日期: 2021-12-05

A Method of Designing NURBS Screw Rotor Meshing Line

FAN Haigang^{1, 2
,},
HE Xueming^{1, 2
, ,},
LONG Ji^{1, 2}

1.
Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology, Wuxi214122, Jiangnan, China
2.
Jiangnan University, Wuxi 214122, Jiangnan, China

摘要

摘要: 螺杆压缩机转子型线设计和优化过程中, 组成曲线段的类型众多, 方程各异且多变, 计算过程复杂。为了实现转子型线的简捷设计, 提高设计效率, 提出一种将NURBS曲线引入螺杆转子啮合线设计的新方法。首先对典型的曲线类型进行分析和总结, 推导出适用于各曲线类型的统一表达式; 然后对啮合线各段进行插值拟合, 并推导高阶连续曲线拼接算法, 解决了分段NURBS曲线在公共端点处的连续问题, 实现了啮合线在节点区间内无限可微; 最后以复盛型线为例, 生成由一段式NURBS高阶连续表达的啮合线, 计算其曲率变化, 并对其转子型线做动力学分析。结果显示转子型线的光顺性和传动性能均得到显著提升, 验证了该方法的可行性与高效性, 还极大地简化了计算过程。
- NURBS /
- 啮合线 /
- 插值拟合 /
- 连续拼接 /
- 动力学分析
Abstract: In designing and optimizing the rotor profile of a screw compressor, there are many types of curve segments, different and variable equations, and complex calculation processes. In order to carry out the concise design of the rotor profile and improve the design efficiency, a new method for introducing the NURBS curve into the screw rotor meshing line design is proposed. First, we analyze and summarize the typical curve types and derive a unified expression suitable for each type of curve segment. Then we interpolate the fitting of each segment of the meshing line and derive a high-order continuous curve stitching algorithm which solves the continuous problem of the segmented NURBS curve at the common endpoint. We realize that the meshing line is infinitely differentiable within the node interval. Finally, taking the Fusheng profile as an example, a meshing line expressed by a one-stage NURBS high-order continuous expression is generated, its curvature change is calculated, and the dynamic rotor profile is analyzed. The results show that the smoothness and transmission performance of the rotor profile are significantly improved, verifying the feasibility and efficiency of the method, which greatly simplifies the calculation process.
- NURBS /
- meshing line /
- interpolation /
- continuous stitching /
- dynamic analysis

HTML全文

图 1 曲线插值拟合

下载: 全尺寸图片幻灯片

图 2 复盛型线及其啮合线

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图 3 复盛型线完整啮合线

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图 4 复盛型线啮合线曲率变化

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图 5 原啮合线与3、5次NURBS啮合线动力学分析比较

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