AAM  >> Vol. 4 No. 3 (August 2015)

    Mathematical Description of the Creative Folding Table’s Dynamic Change Process

  • 全文下载: PDF(708KB) HTML   XML   PP.238-245   DOI: 10.12677/AAM.2015.43030  
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王 莹,钱 江,段付谋:河海大学理学院,江苏 南京

参数化相关点法三次样条插值折叠桌相似三角形勾股定理Parameterization The Related Point Method Cubic Spline Interpolation Folding Table Similar Triangles The Pythagorean Theorem



Parametric-related point method model is used to give a mathematical description of the dynamic table folding process. Firstly by analyzing the relationship between the coordinate of the batten on the edge of the table articulated point, the intersection point coordinates of batten and steel and the coordinates of leg edge points and the inclined angle—θ of table articulated point and the x axis, and radius of the table—r, we can conclude the equation of coordinate variables indicated by parameters and observe the change of the corresponding coordinate variables through the change of parameter values. This parametric equation of folding table is used to give a mathematical description for the process of dynamic change. When solving specific problems, we can also directly use the coordinate of the batten on the edge of the table articulated point and the coordinate of the intersection between batten and steel to calculate the coordinate of leg edge points. Using these three function formulas, the folding process is described.

王莹, 钱江, 段付谋. 创意折叠桌的动态变化过程的数学描述[J]. 应用数学进展, 2015, 4(3): 238-245. http://dx.doi.org/10.12677/AAM.2015.43030