超重型数控落地铣镗床立柱结构优化研究

中国机械工程 ›› 2011, Vol. 22 ›› Issue (21): 2546-2550,2603.

超重型数控落地铣镗床立柱结构优化研究

吴凤和1,2;乔利军1;杨育林1;王跃宏2

1. 燕山大学,秦皇岛,066004

2.齐齐哈尔二机床(集团)有限公司,齐齐哈尔,161005

出版日期:2011-11-10 发布日期:2011-11-16
基金资助:
国家科技重大专项(2009ZX04002-061，2011ZX04002-111)
National Science and Technology Major Project ( No. 2009ZX04002-061，2011ZX04002-111)

Column Structure Optimization of Super-heavy-duty CNC Floor Boring and Milling Machine

Wu Fenghe1,2;Qiao Lijun1;Yang Yulin1;Wang Yuehong2

1.Yanshan University, Qinhuangdao, Hebei, 066004

2.Qiqihaer No.2 Machine Tool (Group) Co. Ltd, Qiqihaer, Heilongjiang, 161005

Online:2011-11-10 Published:2011-11-16
Supported by:
National Science and Technology Major Project ( No. 2009ZX04002-061，2011ZX04002-111)

摘要/Abstract

摘要：

通过有限元分析得出立柱受载荷后的变形和应力分布规律及各阶固有频率和振型;以静载荷作用下柔度最小为目标,以体积为约束,建立了立柱结构拓扑优化的数学模型;将各截面单元的灵敏度数值大小作为拓扑单元修改与去除的判据,通过灵敏度参数的归一化处理,加快了迭代收敛速度,避免了优化过程中载荷奇异的发生;综合考虑立柱结构铸造工艺等因素,给出了立柱结构拓扑优化建议,并通过有限元技术对优化效果进行了仿真验证。



关键词:

立柱, 结构优化, 拓扑, 灵敏度

Abstract:

According to finite element analysis, the laws of deformation and stress of a loaded column were obtained, and the natural frequency of each step and modes of column were also given. Taking the minimum compliances of the column as the objective and the volume as the constraint, a model of topology optimization of column was established. The sensitivity value of each section was used as the criterion of modification and removing of the topological units, and the sensitivity parameters were normalized, so the convergence speed was accelerated and the pathological load happened in optimization process was avoided effectively. Considering the casting technique of column, the optimization proposals of structure were given, and the optimized results were verified by finite element analysis method.

Key words: column, optimum structure, topology, sensitivity

中图分类号:

TG538

吴凤和1, 2, 乔利军1, 杨育林1, 王跃宏2.

超重型数控落地铣镗床立柱结构优化研究

[J]. 中国机械工程, 2011, 22(21): 2546-2550,2603.

TUN Feng-He-1, 2, JIAO Li-Jun-1, YANG Yo-Lin-1, WANG Ti-Hong-2.

Column Structure Optimization of Super-heavy-duty CNC Floor Boring and Milling Machine

[J]. China Mechanical Engineering, 2011, 22(21): 2546-2550,2603.

参考文献

[1]Prager W. A Note on Discredited Michel Structures [J]. Computer Methods in Applied Mechanics and Engineering, 1974,3(3) :349-355.
[2]Dorn W, Gomory R, Greenberg H. Automatic Design of Optimal Structures[J]. J. Design Mechaniuque,1964, 3(1) :25-52.
[3]Bendsoe M P, Kikuchi N. Generating Optimal Topologies in Structural Design Using a Homogenization Method[J]. Computer Methods in Applied Mechanics and Engineering, 1988, 71(2) : 197-244.
[4]Suzuki K, Kikuchi N. A Homogenization Method for Shape and Topology Optimization[J]. Computer Methods in Applied Mechanics and Engineering, 1991, 93(3) :291-318.
[5]Bendsoe M P. Optimal Shape Design as a Material Distribution Problem[J]. Structural Optimization, 1989, 1(4) : 193-202.
[6]Zhou M, Rozvany G. The COC Algorithm H:Topolog- ical, Geometrical and Generalized Shape Optimization [J]. Computer Methods in Applied Mechanics and Engineering, 1991, 89(1/3) :309-336.
[7]Xie Y M, Steven G P. A Simple Evolutionary Procedure for Structural Optimization[J]. Computers and Structures, 1993, 49(5) :885-896.
[8]Xie Y M, Steven G P. Evolutionary Structural Optimization for Dynamic Problems [J]. Computers and Structures, 1996, 58(6) :1067-1073.
[9]饶柳生[1],侯亮[1],潘勇军[1].基于拓扑优化的机床立柱筋板改进[J].机械设计与研究,2010(1):87-92.
[10]巫修海[1],马云芳[1],张建润[2].高速高精度卧式加工中心动态优化设计[J].振动与冲击,2009,28(10):74-77.
[11]罗辉[1],陈蔚芳[1],叶文华[1].机床立柱灵敏度分析及多目标优化设计[J].机械科学与技术,2009,28(4):487-491.
[12]Fan Kuangchao, Wang Hai, Zhao Junwei. Sensitivity Analysis of the 3- PRS Parallel Kinematic Spindle Platform of a Serial--parallel Machine Tool [J]. Inter- national Journal of Machine Tools and Manufacture, 2003, 43(15):1561-1569.
[13]汪列隆[1,2],朱壮瑞[1].基于相对密度机床立柱结构的动力学拓扑优化[J].机电工程,2008,25(4):34-38.
[14]吴凤和[1,2],王少伟[1],杨育林[1],王跃宏[2].超重型数控落地铣镗床滑枕挠曲变形补偿研究[J].中国机械工程,2010(20):2416-2420.

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