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Optimal design of a furniture frame by reducing the volume of wood

Hu Wengang, Liu Na, Guan Huiyuan

Drewno : prace naukowe, doniesienia, komunikaty

2019

vol. 62, nr 204

85--97

The aim of this study is to optimize the volume of a furniture frame to make it lighter, while still meeting the same load requirements. The finite element method (FEM) and MATLAB nonlinear programming were utilized for the optimization. A beech stool frame was taken as an example. First, the finite element model was set up and analyzed to obtain the internal forces of the stool frame, and the internal forces were investigated to obtain the maximum critical forces in each type of member. Then constraints were obtained to determine the limitations for minimizing the volume of the stool frame, which was defined as the objective function subject to constraints. Finally, the objective function and constraints were programmed and solved using MATLAB software, and as a result the minimum volume and dimensions of members were determined. An experimental test was conducted to determine whether the optimized stool was strong enough to carry the same loads. The results showed the optimized stool to be 58% lighter than the non-optimized version, while also satisfying the requirements of GB 10357-3. In conclusion, the method is suitable for the optimization of a furniture frame, making it lighter and reducing the manufacturer’s material costs.