Setting the Rotation Surface of the Circle Evolvent by the Moving Simplex Method
T. P. Malyutinaa, I. P. Davydenkob
a Donbas National Academy of Civil Engineering and Architecture
b PJSC «Avdiyivsky Metal Construction Details Plant»
Abstract: We consider the point equation of the involute, constructed according to the well-known graphical algorithm by the methods of BN-calculus (point calculus of Baluba-Naidysh). An example of a point setting of the surface of rotation of an involute of a circle is presented, based on the method of a moving simplex (MPS), with a generatrix in the form of an involute. The point shape was chosen because it allows the use of an arbitrary local two-dimensional simplex that defines the curve under consideration regardless of its position in space. For this, it is sufficient to have the coordinates of the vertices of the simplex. Also, such a form is easily implemented using a computer (for example, using the Maple software package). The method proposed in this article for constructing involutes on planes arbitrarily given in space by a simplex of points can take a worthy place in a number of existing traditional and innovative methods of such design.
Keywords: point equation of involute, BN-calculus, surface of rotation of the involute of a circle, moving simplex method.
Pages: 51-55.
Link for citation: Malyutina, T. P.; Davydenko, I. P. Setting the Rotation Surface of the Circle Evolvent by the Moving Simplex Method. – Text : electronic. – In: Proceeding of the Donbas National Academy of Civil Engineering and Architecture. – 2021. – Issue 2021-3(149) Buildings and structures using new materials and technologies. – Р. 51-55. – URL: https://donnasa.ru/publish_house/journals/vestnik/2021/2021-3(149)/st_09_malyutina_davidenko.pdf (date of access: 15.10.2024). (in Russian)
Issue 2021-3 (149)Journal: Proceeding of the Donbas National Academy of Civil Engineering and Architecture
Publish house: Donbas National Academy of Civil Engineering and Architecture