采用结构仿生的重型机床立柱的综合优化
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摘要
以重型球形蜗杆砂轮磨齿机立柱为研究对象,以应变能最小和1阶固有频率最大为目标,以体积分数为约束,对重型立柱结构进行拓扑优化,得到复杂载荷下材料的最佳分布。结合结构仿生优化和尺寸优化对立柱内部复杂结构进行优化。优化前后立柱的静动态性能指标的对比结果表明:立柱的静动态性能显著提升,内部复杂结构的仿生轻量化和尺寸最佳得以实现,从而验证了综合优化的有效性。
A heavy interal gear grinding machine with spherical worm shaped grinding wheel column was as research object. Topology optimization of the heavy column structures was carried out, with the minimum strain energy and the maximum first natural order frequency as the goals and the volume fraction as the constraint. The best distribution of materials under complex loads was obtained. The internal complex structure of the columns were optimized by structural bionics and size optimization. The comparison between before and after optimizations about static and dynamic performance indexes of columns shows that the static and dynamic performances of columns are significantly improved, and the bionic lightweight and the best sizes are achieved. The effectiveness of the comprehensive optimization were verified by the comparison results.
A heavy interal gear grinding machine with spherical worm shaped grinding wheel column was as research object. Topology optimization of the heavy column structures was carried out, with the minimum strain energy and the maximum first natural order frequency as the goals and the volume fraction as the constraint. The best distribution of materials under complex loads was obtained. The internal complex structure of the columns were optimized by structural bionics and size optimization. The comparison between before and after optimizations about static and dynamic performance indexes of columns shows that the static and dynamic performances of columns are significantly improved, and the bionic lightweight and the best sizes are achieved. The effectiveness of the comprehensive optimization were verified by the comparison results.
引文
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[4]李宇鹏,许亚钢,孙洪胜.基于TOPSIS法的大型床身优选设计[J].中国机械工程,2017,28(3):279-285.LI Yupeng,XU Yagang,SUN Hongsheng.Preference Design of Large Machine Beds Based on TOP-SIS Methed[J].China Mechanical Engineering,2017,28(3):279-285.
[5]李宇鹏.球形蜗杆砂轮的磨齿原理及其球基螺旋面参数[J].机械工程学报,2002,38(6):127-129.LI Yupeng.The Grinding Principle of Spherical Worm Wheel and Its Spherical Surface[J].Chinese Journal of Mechanical Engineering,2002,38(6):127-129.
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[2]蒲凡,胡光忠,邹亮,等.立式加工中心立柱动静态特性分析和拓扑优化[J].现代制造工程,2017(1):70-83.PU Fan,HU Guangzhong,ZOU Liang,et al.Dynamic and Static Characteristic Analysis and Topological Optimization for Column of Vertical Machining Center[J].Modern Maufacturing Engineering,2017(1):70-83.
[3]赛宗胜,何一冉,丛明,等.卧式加工中心立柱有限元分析及轻量化设计[J].组合机床与自动化加工技术,2013(2):38-46.SAI Zongsheng,HE Yiran,CONG Ming,et al.Finite Element Analysis and Light Weight Design of the Column of Horizontal Machining Center[J].Modular Machine Tool&Automatic Manufacturing Technique,2013(2):38-46.
[4]李宇鹏,许亚钢,孙洪胜.基于TOPSIS法的大型床身优选设计[J].中国机械工程,2017,28(3):279-285.LI Yupeng,XU Yagang,SUN Hongsheng.Preference Design of Large Machine Beds Based on TOP-SIS Methed[J].China Mechanical Engineering,2017,28(3):279-285.
[5]李宇鹏.球形蜗杆砂轮的磨齿原理及其球基螺旋面参数[J].机械工程学报,2002,38(6):127-129.LI Yupeng.The Grinding Principle of Spherical Worm Wheel and Its Spherical Surface[J].Chinese Journal of Mechanical Engineering,2002,38(6):127-129.
[6]岑海棠.结构仿生理论、轻质零件结构仿生设计及RP工艺验证[D].北京:航空航天大学,2004.CEN Haitang.Bionic Theory of Structure,Bionic Design of Light Part Structure and Verification of RP Process[D].Beijing:Beihang University,2004.