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工程设计学报
Chinese Journal of Engineering Design  2000, Vol. 7 Issue (4): 86-88    DOI:
    
Constant Value Principle and Its Applications in the Evaluation of Roundness Tolerance
 LI  Ren-Wang1, WU  Zhao-Tong2, SONG  Qiu-Zhi1, ZHOU  Ji1
1. CAD Center, Huazhong University of Science and Techno logy, Wuhan 430074, China;
2. Institute of Production Engineering , Zhejiang Universit y, Hangzhou 310027,
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Abstract  The developments of coordinate measurement machine ( CMM ) and computer technology have raised new challenges in measurement, descript ion and mathemat ical def init ion etc. of tolerance.This paper at tempted to put forw ard the constant value principle based on the hypothesis of cont inuity of solid body in mechanics of materials; and stated the method of realizing the unity of dimensional tolerance, form tolerance and position tolerance etc. Through obtaining the ideal form feature of actual feature in the light of the constant value principle, and g et ting the tolerance zone which is convenient for its computer description based on the similar sw ee-l shrink of ideal form feature, as w ell as achieving the correct mathemat ical description of the tolerance zone through the t ranslation and rotation of coordinate axis. At last , some valuable conclusions in use are obtained in the evaluation of roundness tolerance according to them.

Key words： constant value principle      olerance zone      athematical description     
Published: 15 December 2000
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LI Ren-Wang
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Cite this article:

LI Ren-Wang, WU Zhao-Tong, SONG Qiu-Zhi, ZHOU Ji. Constant Value Principle and Its Applications in the Evaluation of Roundness Tolerance. Chinese Journal of Engineering Design, 2000, 7(4): 86-88.

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https://www.zjujournals.com/gcsjxb/     OR     https://www.zjujournals.com/gcsjxb/Y2000/V7/I4/86


等值原则及其在圆度误差评定中的应用研究

坐标测量机和计算机技术的发展, 在公差检测、描述以及数学定义等方面都提出了新的挑战。文章尝试性地提出了基于材料力学中固体连续性假设的等值原则, 阐述了按等值原则确定实际要素的理想形状要素, 在该理想形状要素的基础上, 进行相似胀缩来形成便于计算机描述的公差带, 通过坐标轴平移和旋转来完成公差带的精确数学描述, 从而实现尺寸公差、形状公差和位置公差等统一的思想。最后, 在圆度误差评定中进行了应用举例, 并得到了一些有价值的结论。

关键词： 等值原则,  公差带,  数学描述 
[1] ZHANG Yu, ZHANG Hong-Chao. A New Quality-oriented Statistical Tolerance and the Representation of Statistical Tolerance Zone[J]. Chinese Journal of Engineering Design, 2000, 7(4): 8-10.