基于SIMP方法的胶合木曲梁四面刨机身优化设计  

Optimization Design of the Four-Sided Planer Body for Glued Laminated Curved Beams Based on the SIMP Method

作　　者：任长清[1,2] 杨伟强 丁星辰 杨春梅[1,2] REN Chang-qing;YANG Wei-qiang;DING Xing-chen;YANG Chun-mei(College of Mechanical and Electrical Engineering,Northeast Forestry University,Harbin Heilongjiang 150040,China;Engineering Technology Center of Forestry and Woodworking Machinery,Northeast Forestry University,Harbin Heilongjiang 150040,China)

机构地区：[1]东北林业大学林业机电工程学院,黑龙江哈尔滨150040 [2]东北林业大学林业与木工机械工程技术中心,黑龙江哈尔滨150040

出　　处：《林业机械与木工设备》2024年第11期29-35,共7页Forestry Machinery & Woodworking Equipment

基　　金：黑龙江省重点研发项目“基于5G被动式绿色建筑门窗材数字协同加工中心关键技术研究”(2022ZX01A17)。

摘　　要：为了保证四面刨加工精度,机身的结构设计应尽可能减少质量,降低应力变形,提高刚度和固有频率,基于SIMP方法,建立以机身质量为优化目标,应力变形和固有频率为约束的拓扑优化数学模型,实现拓扑优化,然后对重建后的模型进行静力学和模态分析,随后对模型进行二次重建,最后对二次重建的模型进行响应面尺寸优化,并得到最终的机身结构模型。结果表明优化完成后机身质量由1880 kg降低至1068 kg,最大变形量降低了23.39%,最大应力值降低了32.06%,一阶固有频率提高了10.04%,二阶固有频率提高了3.34%,其余前6阶均有不同程度的提升。To ensure the machining accuracy of the four-sided planer,the structural design of the machine body should aim to minimize mass,reduce stress deformation,and increase stiffness and natural frequency.Based on the SIMP method,a topology optimization mathematical model is established with the machine body mass as the optimization objective and stress deformation and natural frequency as constraints.After achieving topology optimization,a statics and modal analysis is performed on the reconstructed model.Subsequently,the model undergoes a second reconstruction,followed by response surface dimension optimization,resulting in the final machine body structure model.The results show that after optimization,the machine body mass decreased from 1880 kg to 1068 kg,the maximum deformation reduced by 23.39%,the maximum stress value decreased by 32.06%,the first natural frequency increased by 10.04%,and the second natural frequency increased by 3.34%,with varying degrees of improvement in the remaining top six frequencies.

关 键 词：四面刨 SIMP方法 拓扑优化 响应面优化 模态分析 

分 类 号：S777[农业科学—森林工程]