Kinematic differential geometry of a rigid body in spatial motion using dual vector calculus:: Part-II

被引:7
|
作者
Kose, O. [1 ]
Sarioglu, C. C.
Karabey, B.
Karakilic, I.
机构
[1] Mugla Univ, Fac Arts & Sci, Dept Math, Mugla, Turkey
[2] Dokuz Eylul Univ, Fac Arts & Sci, Dept Math, TR-35140 Izmir, Turkey
关键词
dual points; line congruence; line complex; screw displacement; spatial motion;
D O I
10.1016/j.amc.2006.02.059
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present paper, partially based on Part I of this paper, the special points; inflection points, acceleration centers and the points with the zero tangential components, which we call Bresse complexes, of the dual spherical (X) over cap motion (A) over cap(x) over cap are discussed and computer aided graphs of some of them shown in line space with A=[cos theta cos phi - sin theta -cos theta sin phi] [sin theta cos phi cos theta -sin theta sin theta] [sin phi 0 cos phi] where phi(t) = phi(t) + epsilon phi*(t), b(t), theta(t) + epsilon theta*(t) are the function of real parameter t (time). Meanwhile the graph of the unit dual sphere Sigma(3)(i=1) =1 in line space is given. (c) 2006 Elsevier Inc. All rights reserved.
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页码:333 / 358
页数:26
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