Kinematic Differential Geometry of a Line Trajectory in Spatial Movement

被引：0
|
作者：
Almoneef, Areej A. [1 ]
Abdel-Baky, Rashad A. [2 ]
机构：
[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[2] Univ Assiut, Fac Sci, Dept Math, Assiut 71516, Egypt
来源：
AXIOMS | 2023年 / 12卷 / 05期
关键词：
E; Study map; axodes; line congruence; Disteli formulae; RULED SURFACES; MOTION;
D O I：
10.3390/axioms12050472
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the kinematic differential geometry of a line trajectory in spatial movement. Specifically, we provide a theoretical expression of inflection line congruence, which is the spatial equivalent of the inflection circle of planar kinematics. Additionally, we introduce new proofs for the Euler-Savary and Disteli formulae and thoroughly analyze their spatial equivalence.
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页数：15
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