Kinematic Methods of Designing Free Form Shells

[摘要] The geometrical shell model is formed in light of the set requirements expressed through surface parameters. The shell is modelled using the kinematic method according to which the shell is formed as a continuous one-parameter set of curves. The authors offer a kinematic method based on the use of second-order curves with a variable eccentricity as a form-making element. Additional guiding ruled surfaces are used to control the designed surface form. The authors made a software application enabling to plot a second-order curve specified by a random set of five coplanar points and tangents.

[发布机构] Department of Engineering and Computer Graphics, South Ural State University, Lenin Ave., 76, Chelyabinsk; 454080, Russia^1

[学科分类] 土木及结构工程学

[关键词] Coplanar points;Free form shells;Kinematic method;Parameter set;Ruled surfaces;Software applications;Surface forms;Surface parameter