| Pseudo minimum translational distance between convex polyhedra(Ⅰ)——Definition and properties |
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| 引用本文： | 朱向阳,丁汉,熊有伦.Pseudo minimum translational distance between convex polyhedra(Ⅰ)——Definition and properties[J].中国科学E辑(英文版),2001,44(2). |
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| 作者姓名： | 朱向阳 丁汉 熊有伦 |
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| 作者单位： | ZHU Xiangyang DING Han XIONG Youlun1. Department of Mechanical Engineering，Southeast University，Nanjing 210096，China2. School of Mechanical Science & Engineering，Huazhong University of Science & Technology，Wuhan 430074，China |
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| 基金项目： | the National Natural Science Foundation of China (Grant Nos. 59805004, 59990470)，the National Distinguished Youth Foundation (Grant No. 59725514). |
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| 摘 要： | Based on the concept of gauge function, the pseudo minimum translational distance (PMTD) between two convex objects is defined in this paper. PMTD not only provides a measure of the clearance between two separating objects, but also quantifies the penetration of two objects intersecting each other. It is proved that the PMTD is differentiate almost everywhere w. r.t. the configuration variable of the objects. Algorithms for calculating PMTD and its derivative are also presented.
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Pseudo minimum translational distance between convex polyhedra(I)--Definition and properties |
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| ZHU Xiangyang,DING Han,XIONG Youlun.Pseudo minimum translational distance between convex polyhedra(I)--Definition and properties[J].Science in China(Technological Sciences),2001,44(2). |
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| Authors: | ZHU Xiangyang DING Han XIONG Youlun |
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| Affiliation: | 1. Department of Mechanical Engineering, Southeast University, Nanjing 210096, China
2. School of Mechanical Science & Engineering, Huazhong University of Science & Technology, Wuhan 430074, China |
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| Abstract: | Based on the concept of gauge function, the pseudo minimum translational distance (PMTD) between two convex objects is defined in this paper. PMTD not only provides a measure of the clearance between two separating objects, but also quantifies the penetration of two objects intersecting each other. It is proved that the PMTD is differentiate almost everywhere w. r.t. the configuration variable of the objects. Algorithms for calculating PMTD and its derivative are also presented. |
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| Keywords: | pseudo minimum translational distance convex polyhedra differentiability |
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