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Evaluation method for spatial straightness errors based on minimum zone condition |
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| Authors: | Qing Zhang K. C. Fan Zhu Li |
| Affiliation: | a School of Mechanical Engineering, Huazhong University of Science and Technology, Wuhan, China b Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan |
| Abstract: | A nonlinear mathematical model for spatial straightness error evaluation based on the minimum zone condition is established in this paper. According to the error analysis, it is proved that the mathematical model for spatial straightness error evaluation cannot be linearized. A criterion for verification of the existence and uniqueness of the minimum zone solution is proposed. A new computational method is also proposed, and practical examples are given. Finally, the correctness of this method is demonstrated using a geometrical solution. This new method is convenient for computation of uniqueness and exactness of the minimum zone solution. |
| Keywords: | Spatial straightness errors Minimum zone condition Nonlinear model |
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