摘要
本研究设计开发了一种家具用圆形纸管嵌套式夹芯板,采用响应曲面法(RSM)和非支配排序遗传算法Ⅱ(NSGA-Ⅱ)进行多目标优化设计,有效提升了其综合承载性能。通过Box-Behnken设计RSM构建的二阶响应面方程,明确了纸管壁厚、内径和高度与各承载性能指标之间的复杂耦合效应和非线性特征,并借助NSGA-Ⅱ获得了各承载性能间折中平衡的帕累托最优解集。研究结果验证了该优化方法在提升纸管夹芯板承载性能方面的优越性和可靠性,同时揭示了结构参数对面外压缩强度、面内压缩强度及抗弯强度的非线性影响。通过优化设计,该新型圆形纸管嵌套式夹芯板展现了优良的综合承载性能和轻量化优势,为其在家具制造中的广泛应用奠定了坚实基础。这一研究不仅展示了新型材料设计的创新性,同时也证实了RSM结合NSGA-Ⅱ的多目标优化方法在复杂材料性能优化中的潜力。
This study focused on the development of a circular paper tube sandwich panel(PTNSP)structure specifically designed for furniture applications.Utilizing a multi-objective optimization approach that combines response surface methodology(RSM)and the non-dominated sorting genetic algorithm Ⅱ(NSGA-Ⅱ),the research systematically investigated the influence of key design parameters on the panel's comprehensive mechanical load-bearing performance.By adjusting parameters such as tube wall thickness,inner diameter,and height,the optimization aimed to achieve a balanced trade-off among out-of-plane compressive strength,in-plane compressive strength,and flexural strength,ensuring the material's suitability for furniture design.This research not only established a robust foundation for the future industrialization of PTNSP as a furniture material but also provided theoretical insights for the multi-objective performance optimization of structural materials.The study highlighted the intricate coupling effects and nonlinear relationships between structural parameters and mechanical properties.The analysis specifically revealed that the tube inner diameter significantly influenced out-of-plane compressive strength,with a perturbation impact of up to 65.49% within the range of 40-60 mm.Conversely,the tube wall thickness played a dominant role in determining in-plane compressive strength and flexural strength,contributing 16.93% and 12.14% of the total perturbation,respectively,within the range of 2-3 mm.These findings illustrated the critical role of structural parameters in determining the overall mechanical performance of the panel,underscoring the importance of precise parameter tuning in material design.Experimental validation confirmed the reliability and accuracy of the optimization model,as demonstrated by the strong alignment between predicted values and experimental results.For instance,the sample with a tube wall thickness of 2.5 mm,an inner diameter of 40 mm,and a height of 20 mm showed minimal prediction errors of 3.07%,1.25%,and 0.64%for in-plane compressive strength,out-of-plane compressive strength,and flexural strength,respectively.This high level of accuracy reinforced the effectiveness of combining RSM and NSGA-Ⅱfor optimizing complex material systems.Overall,this research provides valuable theoretical and practical contributions to the design of high-performance,lightweight materials for modern furniture engineering.By demonstrating the potential of advanced optimization techniques in material innovation,the study paves the way for sustainable,efficient,and versatile material solutions in furniture manufacturing,bridging the gap between theoretical research and practical applications.The integration of innovative structural designs and optimization methodologies establishes a comprehensive framework for addressing the diverse demands of furniture materials,ultimately contributing to the advancement of sustainable material engineering.
作者
姜夏旺
张诗浩
俞明功
孙德林
JIANG Xiawang;ZHANG Shihao;YU Minggong;SUN Delin(College of Packaging Design Arts,Hunan University of Technology,Zhuzhou 412007,China;College of Materials Science and Engineering,Central South University of Forestry and Technology,Changsha 410004,China;College of Design and Arts,Hunan Institute of Engineering,Xiangtan 411104,China)
出处
《林业工程学报》
北大核心
2025年第5期55-65,共11页
Journal of Forestry Engineering
基金
湖南省教育厅科学研究项目(23B0701)
湖南省社会科学基金(23YBQ104)
湖南省自然科学基金省市联合基金(2022JJ50065)。
作者简介
姜夏旺,男,副教授,研究方向为家具设计与制造;通信作者:孙德林,男,教授。E-mail:sdlszy@163.com。
