塔式起重机臂架腹杆布局及尺寸优化设计

doi:10.12068/j.issn.1005-3026.2018.09.019

东北大学学报:自然科学版 ›› 2018, Vol. 39 ›› Issue (9): 1309-1314.DOI: 10.12068/j.issn.1005-3026.2018.09.019

塔式起重机臂架腹杆布局及尺寸优化设计

吴青龙¹，周奇才¹，熊肖磊¹，焦洪宇^1,2

(1. 同济大学机械与能源工程学院，上海201804; 2. 常熟理工学院汽车工程学院，江苏苏州215500)

收稿日期:2017-05-15 修回日期:2017-05-15 出版日期:2018-09-15 发布日期:2018-09-12
通讯作者: 吴青龙
作者简介:吴青龙(1990-)，男，四川成都人，同济大学博士研究生; 周奇才(1962-)，男，上海人，同济大学教授，博士生导师.冯明杰(1971-)，男，河南禹州人，东北大学副教授; 王恩刚(1962-)，男，辽宁沈阳人，东北大学教授，博士生导师.
基金资助:
国家自然科学基金资助项目(51375345)；国家自然科学基金青年基金资助项目(51605046).国家自然科学基金资助项目(51171041).

Layout and Size Optimization Design of Tower Crane Boom Webs

WU Qing-long¹， ZHOU Qi-cai¹， XIONG Xiao-lei¹， JIAO Hong-yu^1,2

1. School of Mechanical Engineering， Tongji University， Shanghai 201804， China; 2. School of Automotive Engineering， Changshu Institute of Technology， Suzhou 215500， China.

Received:2017-05-15 Revised:2017-05-15 Online:2018-09-15 Published:2018-09-12
Contact: ZHOU Qi-cai
About author:-
Supported by:
-

摘要/Abstract

摘要： 为实现塔式起重机臂架布局和尺寸的优化，提出了桁架结构拓扑及尺寸两阶段优化设计方法.第一阶段先建立臂架的周期性板梁拓扑优化模型，使用周期性SKO方法对腹板进行连续体拓扑优化，得到优化的腹板拓扑构型，并通过提取主应力路径将优化的腹板拓扑结构转化为离散的腹杆布局;第二阶段以臂架腹杆截面半径为设计变量，臂架柔度为目标函数，材料体积为约束条件建立优化模型，基于Lagrange乘子法和库恩塔克条件推导腹杆截面尺寸优化迭代准则，基于欧拉公式推导了腹杆稳定性约束条件以保证尺寸优化过程中臂架稳定性.数值分析结果表明，该优化方法能有效地减轻臂架结构质量，提高臂架的刚度，减少变形并降低结构应力水平.

关键词: 起重机臂架, 拓扑优化, 尺寸优化, 周期性, SKO, 优化准则法

Abstract: For the layout and size optimization of tower crane booms， a two-stage topology and size optimization method was proposed. In the first stage， a periodic plate-beam topology optimization model of the boom was established， and the continuum topology optimization of the web plate was performed by using the periodic SKO method. After getting the optimized topology of web plate， the optimized web topology was transformed into a discrete web layout through the extraction of the principal stress path. In the second stage， the size optimization mathematical model was established with the web radius taken as the design variable， the boom compliance as the objective function and the material volume of the boom as the constraint. The size optimization criterion was deduced by the Lagrange multiplier method and Kuhn-Tucker condition. In addition， the stability constraints of the webs were proposed to ensure the boom stability during the size optimization process based on the Euler formula. By comparing the original boom with the optimal booms， the optimization method can effectively reduce the mass of the boom， increase the rigidity of the boom， and reduce the deformation and structural stress level.

Key words: crane boom, topology optimization, size optimization, periodicity, SKO(soft kill option), optimization criterion

中图分类号:

TH122

吴青龙，周奇才，熊肖磊，焦洪宇. 塔式起重机臂架腹杆布局及尺寸优化设计[J]. 东北大学学报:自然科学版, 2018, 39(9): 1309-1314.

WU Qing-long， ZHOU Qi-cai， XIONG Xiao-lei， JIAO Hong-yu. Layout and Size Optimization Design of Tower Crane Boom Webs[J]. Journal of Northeastern University Natural Science, 2018, 39(9): 1309-1314.

参考文献

[1]冯政钧.基于参数化建模的塔式起重机稳定性分析及优化设计［D］.太原:太原科技大学，2013.(Feng Zheng-jun.Stability analysis and optimization of tower crane based on parametric modeling［D］.Taiyuan:Taiyuan University of Science and Technology，2013.)
[2]Jia J，Wan Y P.Light-weight design of tower crane boom structure based on multi-objective optimization ［C］//International Conference on Mechanical Science and Engineering.Qingdao:Atlantis Press，2016:1-6.
[3]Aelmi R，Cvetkovi P，Mijailovi R，et al.Optimum dimensions of triangular cross-section in lattice structures［J］.Meccanica，2006，41(4):391-406.
[4]Mijailovi R，Kastratovi G.Cross-section optimization of tower crane lattice boom［J］.Meccanica，2009，44(5):599-611.
[5]Li W，Zhou Q，Jiang Z，et al.Stability-ensured topology optimization of boom structures with volume and stress considerations［J］.Structural & Multidisciplinary Optimization，2017，55(2):493-512.
[6]Wu Q L，Zhou Q C，Zhang R C，et al.Periodic topology optimization of crane boom based on improved soft kill option method［J］.Journal of Shanghai Jiaotong University，2017，22(4):459-465.
[7]Huang X，Xie Y M.Optimal design of periodic structures using evolutionary topology optimization［J］.Structural and Multidisciplinary Optimization，2008，36(6):597-606.
[8]焦洪宇，周奇才，吴青龙，等.桥式起重机箱型主梁周期性拓扑优化设计［J］.机械工程学报，2014，50(23):134-139.(Jiao Hong-yu，Zhou Qi-cai，Wu Qing-long，et al.Periodic topology optimization of the box-type girder of bridge crane［J］.Journal of Mechanical Engineering，2014，50(23):134-139.)
[9]Wu Q L，Zhou Q C，Xiong X L，et al.Layout and sizing optimization of discrete truss based on continuum［J］. International Journal of Steel Structures，2017，17(1):43-51.
[10]周奇才，吴青龙，熊肖磊，等.桁架结构拓扑及截面尺寸优化设计方法［J］.西安交通大学学报，2016，50(9):1-10.(Zhou Qi-cai，Wu Qing-long，Xiong Xiao-lei，et al.Optimal design of topology and section size of truss structures［J］.Journal of Xi′an Jiaotong University，2016，50(9):1-10.)(上接第1252页)
[8]Kuang S B，Li Z Y，Yan D L，et al.Numerical study of hot charge operation in ironmaking blast furnace［J］.Minerals Engineering，2014，63:45-56.
[9]Zhang W，Zhang J，Xue Z，et al.Unsteady analyses of the top gas recycling oxygen blast furnace［J］.ISIJ International，2016，56(8):1358-1367.
[10]项钟庸，朱仁良.降低燃料比和提高富氧率增加高炉产量［J］.钢铁，2010(10):9-12.(Xiang Zhong-yong，Zhu Ren-liang.Reducing fuel ratio while increasing oxygen enrichment to enhance blast furnace output［J］.Iron and Steel，2010 (10):9-12.)
[11]糜克勤.富氧鼓风在高炉冶炼上的应用［J］.钢铁，1977(1):44-48.(Mi Ke-qin.Application of oxygen-enriched blast in blast furnace smelting ［J］.Iron and Steel，1977 (1):44-48.)
[12]叶才彦.富氧鼓风强化高炉冶炼的探讨［J］.钢铁研究学报，1988(4):89-94.(Ye Cai-yan.A discussion on oxygen-enriched blast to intensify blast furnace smelting ［J］.Journal of Iron and Steel Research，1988 (4):89-94.)
[13]孙国龙，罗果萍，郭卓团，等.包钢 4 号高炉富氧喷煤强化冶炼实践［J］.炼铁，2007，26(2):34-37.(Sun Guo-long，Luo Guo-ping，Guo Zhuo-tuan，et al.Practice of intensifying smelting via oxygen-enriched blast and pulverized coal injection operation in No.4 blast furnace of Baotou steel［J］.Ironmaking，2007，26(2):34-37.)
[14]Omori Y.Blast furnace phenomena and modelling［M］.London:Elsevier，1987:51.

塔式起重机臂架腹杆布局及尺寸优化设计

Layout and Size Optimization Design of Tower Crane Boom Webs

RichHTML

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 7

编辑推荐

Metrics

本文评价

[1]	黄智，吴湘，王洪艳，周涛. 整体叶盘磨抛机床叶片型面磨头结构拓扑优化设计[J]. 东北大学学报:自然科学版, 2019, 40(8): 1149-1153.
[2]	郭立新，周宏扬. 车架结构二次拓扑优化设计与性能分析[J]. 东北大学学报:自然科学版, 2017, 38(7): 998-1002.
[3]	李景奎;张义民;. 正态分布连续体结构可靠性拓扑优化设计[J]. 东北大学学报(自然科学版), 2011, 32(9): 1304-1307.
[4]	朱朝艳;刘斌;李艺;张延年. 离散变量桁架结构拓扑优化的杂交算法[J]. 东北大学学报(自然科学版), 2004, 25(8): 800-803.
[5]	曹宗杰;闻邦椿;孟广伟. 智能结构压电执行器位置的拓扑优化[J]. 东北大学学报(自然科学版), 2000, 21(4): 383-385.
[6]	李强;马常祥;赖祖涵. 30MnCrNiMoB钢高速冲击绝热剪切带中的周期结构[J]. 东北大学学报:自然科学版, 1995, 16(4): 3--.
[7]	刘永贤;纪维礼. 直接三维有限元求解转轮内部流场周期性边界条件的处理[J]. 东北大学学报:自然科学版, 1987, 8(2): 183-190.