A Mathematical Model of Flat Folding Table

In the design of folding table, we should consider three evaluation indexes: good product stability, easy processing and least material. The stability of the product is characterized by the angle of tilt of the legs and the distance between the legs of the table through force analysis; the convenience of processing is characterized by minimizing the maximum slot length. Therefore, based on these three indicators, a multi-objective programming model is established. In solving the model, the weight with good stability, convenient processing and least material consumption is obtained by AHP, and the multi-objective programming is transformed into single-objective programming. For the given height of the folding table and the diameter of the circular table, the optimum design and machining parameters such as the position of the steel bar and the size of the plate are obtained according to the model.