کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775579 1631740 2018 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Accretive Darboux growth along a space curve
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Accretive Darboux growth along a space curve
چکیده انگلیسی
In this article, we give a mathematical framework to model the kinematics of the surface growth of objects such as some crustacean creatures. For this, a growth velocity in the direction of the Darboux vector field is defined at each point on a spatial generating curve. A local orthonormal frame (alternative moving frame) is added to each point of the generating curve and a velocity is given in terms of local coordinate directions to obtain a system of differential equations. Using the analytical solutions of this system, various surface examples, including some seashells are provided and the shapes of these surfaces are illustrated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 316, 1 January 2018, Pages 516-524
نویسندگان
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