基于SIMP材料插值模型的某航炮弹箱传动齿轮轻量化设计
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摘要
为了提高战机的性能,实现航炮轻量化设计的目的,以某航炮弹箱传动齿轮为研究对象,通过基于SIMP(Solid Isotropic Material With Penalization)材料插值模型的拓扑优化方法,建立了以齿轮结构单元密度为设计变量,柔度最小为目标函数,优化前后体积分数百分比和结构平衡方程为约束函数的拓扑优化数学模型,对弹箱传动齿轮进行了拓扑优化研究。根据拓扑优化结果对齿轮进行了结构改进和静力学分析,分析结果表明,在满足结构刚强度以及保持供弹原理不变的前提下,优化后的齿轮结构比初始结构质量减少了15. 4%,最大变形减少了14. 2%,最大应力增加了20. 8%,实现了齿轮结构的轻量化设计。这对于齿轮结构减重具有工程应用价值,并为其他零部件轻量化设计提供了参考。
In order to enhance the performance of fighter,and realize the aim of lightweight design of aircraft gun,taking the transmission gear of a certain aircraft gun ammunition box as the research object,through topological optimization method of material interpolation model based on SIMP(solid isotropic material with realization),a topological optimization mathematical model for the density of gear structural unit as design variable,minimum flexibility as objective function,the percentage of volume fraction before and after optimization and the structural balance equation as constraint functions is established,the topology optimization of ammunition box transmission gear is studied. Depending on the result of topology optimization,the gear structure improvement and statics analysis are carried out. The analysis results show that the optimized gear structure is reduced by 15.4%,maximum deformation is reduced by 14.2%,maximum stress is increase by 20.8%,and the gear structure lightweight design is achieved under the condition of satisfying the rigid strength of the structure and keeping the feeding principle unchanged. It has engineering application value for gear structural weight reduction,and provides the reference for other parts lightweight design.
In order to enhance the performance of fighter,and realize the aim of lightweight design of aircraft gun,taking the transmission gear of a certain aircraft gun ammunition box as the research object,through topological optimization method of material interpolation model based on SIMP(solid isotropic material with realization),a topological optimization mathematical model for the density of gear structural unit as design variable,minimum flexibility as objective function,the percentage of volume fraction before and after optimization and the structural balance equation as constraint functions is established,the topology optimization of ammunition box transmission gear is studied. Depending on the result of topology optimization,the gear structure improvement and statics analysis are carried out. The analysis results show that the optimized gear structure is reduced by 15.4%,maximum deformation is reduced by 14.2%,maximum stress is increase by 20.8%,and the gear structure lightweight design is achieved under the condition of satisfying the rigid strength of the structure and keeping the feeding principle unchanged. It has engineering application value for gear structural weight reduction,and provides the reference for other parts lightweight design.
引文
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[2]葛广成,蔡显新.轻载直齿直辐板齿轮的减重研究[J].机械传动,2013,37(7):142-145.
[3]沈健,郑松林,冯金芝.基于道路载荷谱的轮边电驱动减速系统齿轮轻量化优化设计[J].机械强度,2017,39(4):835-841.
[4]许军辉,孙成龙,崔瑾.基于优化技术的变速箱齿轮减重研究[J].汽车零部件,2017(5):34-37.
[5]许洪斌,鄢敏丽,王伟,等.基于拓扑优化方法的分动器箱体轻量化设计[J].机械传动,2014,38(4):155-158.
[6]魏静,李震,孙伟,等.基于SIMP及应变能理论的高速动车齿轮箱结构优化[J].机械强度,2011,33(4):558-564.
[7]左孔天.连续体结构拓扑优化理论与应用研究[D].武汉:华中科技大学,2004:16-30.
[8]袁代林.改进的微粒群算法及其在结构拓扑优化中的应用[D].成都:西南交通大学,2009:57-58.
[9]史楠.多目标变密度惩罚拓扑优化法在龙门起重机横梁设计中的应用[D].西安:长安大学,2009:44-45.
[10]邱卉颖.某船用齿轮结构拓扑优化设计[J].舰船科学技术,2015,37(2):176-179.
[11]付永清,张宪民.基于无棋盘格约束的柔顺机构拓扑优化方法[J].机械设计与研究,2017,33(3):51-53.
[12]张宇,罗陆锋.基于SIMP插值模型的棋盘格现象滤波控制算法研究[J].制造业自动化,2012,34(10):81-84.
[13]洪清泉,赵康,张攀,等.Opti Struct Hyper Study理论基础与工程应用[M].北京:机械工业出版社,2017:30-31.