Structural Mechanics of Engineering Constructions and BuildingsStructural Mechanics of Engineering Constructions and BuildingsСтроительная механика инженерных конструкций и сооружений1815-52352587-8700Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)11153ArticlesСтатьиResearch ArticleKINEMATIC RULED SURFACES ON THE BASE OF COMPLEX MOVING ONE AXOID ALONG ANOTHER (one-sheet hyperboloidal surface of revolution as fixed and moving axoids)КИНЕМАТИЧЕСКИЕ ЛИНЕЙЧАТЫЕ ПОВЕРХНОСТИ НА ОСНОВЕ КОМПЛЕКСНОГО ДВИЖЕНИЯ ОДНОГО АКСОИДА ПО ДРУГОМУ Однополостные гиперболоиды вращения в качестве неподвижного и подвижного аксоидов)RachkovskayaG SРАЧКОВСКАЯГАЛИНА СТАНИСЛАВОВНАканд. техн. наукg.rachkovskaya@gmail.comKharabayevYu NХАРАБАЕВЮРИЙ НИКОЛАЕВИЧkharabayev@aaanet.ruРостовский государственный университет путей сообщенияRostov State Transport University, Rostov-on-DonРостовский государственный университет путей сообщения150320143NO3 (2014)№3 (2014)233112092016Copyright ©; 2016, Structural Mechanics of Engineering Constructions and BuildingsCopyright ©; 2016, Строительная механика инженерных конструкций и сооружений2016Structural Mechanics of Engineering Constructions and BuildingsСтроительная механика инженерных конструкций и сооруженийhttps://journals.rudn.ru/structural-mechanics/article/view/11153Geometrical model of complex moving one-sheet hyperboloid of revolution along another as a base for generating new kinematic ruled surfaces is proposed. Both cases with one axoid's loca- tion outside another and one axoid's location in the interior of another are described. Analytical development and computer visualization of the new kinematic ruled surfaces are realized.Разработана геометрическая модель построения кинематических линейчатых по- верхностей на основе комплексного движения одного однополостного гиперболоида враще- ния по другому. Рассмотрены случаи внешнего и внутреннего обкатывания одного аксоида другим. Получено аналитическое описание и реализована компьютерная визуализация но- вых кинематических линейчатых поверхностейKinematic Ruled SurfacesAnalytical GeometryComputer Graphicsкинематические линейчатые поверхностигеометрия1.Кривошапко С.Н., Иванов В.Н. Энциклопедия аналитических поверхностей. - Мо- сква: Наука, 2010. - 556 c.2.Peternell M., Gruber D., Sendra J. Conchoid surfaces of rational ruled surfaces // Com- puter Aided Geometric Design, Volume 28, Issue 7, P. 395-446. October 2011.3.M. Husty On Some Surfaces in Kinematics //Journal for Geometry and Graphics, Volume 16, Number 1, P.47-58. 2012.4.Rachkovskaya, G.S., Kharabayev, Yu.N. The computer modelling of kinematic linear sur- faces (based on the complex moving a cone along a torse) //Proceedings of the International Con- ference on Computing, Communications and Control Technologies, Austin (Texas), USA. 1. P. 107-111. 2004.5.Selig J.M., Husty M. Half-turns and line symmetric motions// Mechanism and Machine Theory, Volume 46, Issue 2, P. 156-167. February 2011.6.Корн Г., Корн Т. Справочник по математике. - Москва: Наука, 1968.7.Rachkovskaya, G.S., Kharabayev, Yu.N. and Rachkovskaya N.S. Kinematic ruled surfaces (one-sheet hyperboloid of revolution as fixed and moving axoids) //Proceedings of the 13th Inter- national Conference on Geometry and Graphics, Dresden, Germany, P. 190-191. 2008.8.Rachkovskaya, G.S., Kharabayev, Yu.N., and Rachkovskaya, N.S. Computer composition of the transformed classical surfaces as the ways and means of the construction of visual models of realistic objects (The new software application "ArtMathGraph") //Proceedings of the 15-th Inter- national Conference in Central Europe on Computer Graphics, Visualization and Computer Vi- sion, Plzen, Czech Republic, P. 29-32. 2007.9.Rachkovskaya, G.S., Kharabayev, Yu.N. Geometric modeling and computer graphics of kinematic ruled surfaces on the base of complex moving one axoid along another (one-sheet hy- perboloid of revolution as fixed and moving axoids) //Proceedings of the 17-th International Con- ference in Central Europe on Computer Graphics, Visualization and Computer Vision, Plzen, Czech Republic, P. 31-34. 2009.10.Rachkovskaya, G.S., Kharabayev, Yu.N. Geometric model of kinematic surfaces on the base of one-sheet hyperboloidal surfaces of revolution (one axoid is located in the interior of an- other axoid) //Proceedings of the 14th International Conference on Geometry and Graphics, Kyo- to, Japan, P. 320-321.2010.