平板折叠桌的设计参数模型分析

Analysis on Parameter Model of a Flat Folding Table

论文建立模型求解创意平板折叠桌的动态变化过程以及设计加工参数。首先,利用平面几何的知识求出不同位置木棒可转动部分和不可转动部分的长度;其次,建立空间直角坐标系,运用立体几何分析的方法表示出每一根木棒两端点的坐标;然后,选择平板状态以及转动最终结束状态对数据进行分析,利用距离公式求出卡槽的长度;最后,用空间直角坐标系表示出木棒末端的坐标及木棒末端与地面的夹角,利用三维空间曲线拟合求出桌角边缘线,并通过夹角与桌角边缘线描述折叠桌运动变化过程。

A mathematical model is established to solve the dynamic change process and parameter design of a creative flat folding table.Firstly,the length of the rotated part and un-rotated part of the table stick is computed based on plane geometry.Then a space rectangular coordinate system is built to represent the coordinate points of the two ends of each stick by using the method of three-dimensional geometric analysis.Thereafter,the flat state and the final rotation state are analyzed to calculate the length of slot.Finally,the coordinate of the stick end and the angle between the stick end and the ground are represented by the space rectangular system.The corner of the table edge is drawn by using three-dimensional space curve fitting.Therefore,the dynamic process of the folding table is described by using angle and the table edge line.