基于响应面法与MOGA算法的竹集成材榫接合椅子节点力学分析及优化OACSTPCD

Laminated bamboo lumber(LBL)is a green material with a potential for sustainable development in line with the carbon peaking and carbon neutrality goal.In this study,by taking the LBL tenon chair as an example,the static force cyclical actions and durability of the chair were analyzed using Finite Element Method(FEM).This study explored the mechanical properties of LBL tenon chair and put forward the safety analysis method of LBL tenon chair.Taking the allowable stress of LBL as the critical value,the influence of chair leg size reduction on the overall stress and deformation of LBL tenon chair was analyzed.The reasonable and effective decrement optimization was carried out within the safety range of the chair.The results showed that in the static analysis,the maximum equivalent stress of the LBL tenon chair was 6.818 MPa,and the maximum equivalent strain was 4.245×10-3,which were located at the mortise joint of the arm and the back leg of the chair.The maximum deformation of the chair was 4.433 mm,which was distributed at the back of the chair.The maximum equivalent stress and maximum equivalent strain obtained from the durability analysis of the chair were located at the mortise joint of the chair arm and the back leg,which were 4.999 MPa and 3.113×10-3,respectively.The maximum deformation of the chair was 3.251 mm,being located at the upper end of the chair backrest.According to the response surface analysis of the T-shaped tenon joint of LBL,the maximum equivalent stress and maximum deformation of the elliptical tenon joint decreased with the increase of tenon thickness and tenon length,and the safety factor increased accordingly.The influence of tenon and tenon size on the mechanical strength of T-shaped tenon joints was mainly determined by the tenon thickness and tenon length,while the influence of tenon width was not significant.The MOGA algorithm was used to optimize the elliptical tenon size of LBL.The relative error between the optimization results and the actual experimental results was 3.93％,which was relatively small.This proved that the optimization method and results were effective.This study provides a reference for the processing and production of elliptical tenons in LBL and offers a scientific optimization method for the design of tenon and mortise dimensions for LBL tenon joint chairs.