平板折叠桌的设计模型

根据折叠桌的运动特征，选取折叠桌的四分之一为研究对象，建立任意角度下桌脚点的运动变化模型。考虑到产品稳固性、加工便利性和节约用材三方面对加工参数的影响，对折叠桌进行受力分析，得到多目标组合优化模型，用以确定出折叠桌的最优设计参数。针对用户提出的桌面形状要求，建立桌脚曲线的参数方程。作为模型推广，以椭圆状折叠桌为例，运用Matlab画出了桌脚边缘线在折叠过程中的动态变化示意图。同时，又深入研究Robert van Embricqs的滑动折叠桌，建立了新的桌脚曲线参数方程。最后，运用Matlab对多种形状折叠桌进行仿真，编写多目标优化算法，得出了最优加工参数，并进行了算法描述。

The Designing Model of the Flat Folding Table

According to the movement feature of the folding table,we take one quarter of the table as the research subject,and establish the model of the moving foot curve under any arbitrary angle.Take stability,convenience and economization into account,force analysis of the folding table is carried out.Also a multi objective combinatorial optimization model is established in order to determine the optimal designing parameters of the table.According to the outline of the table surface given by the customers,the parameter equations of the foot curve are provided.As an extension of the model,we apply our model to elliptical surface,and use Matlab to show the movement of the foot curve during the folding process.Finally,various shaped folding tables are simulated by using Matlab,and multi objective optimization algorithm is written and described,from which the optimum processing parameters are obtained.