管绞车筒体动力学分析及响应面优化研究

万光海; 王全龙; 武美萍; 缪小进; 韩志平

doi:10.13433/j.cnki.1003-8728.20220063

管绞车筒体动力学分析及响应面优化研究

doi: 10.13433/j.cnki.1003-8728.20220063

万光海^1,,
王全龙^{1, 2, ,},
武美萍^{1, 2},
缪小进^{1, 2},
韩志平³

1.
江南大学机械工程学院, 江苏无锡 214122
2.
江南大学江苏省食品先进制造装备技术重点实验室, 江苏无锡 214122
3.
法尔胜集团泓昇重工有限公司, 江苏江阴 214400

基金项目:

国家自然科学基金项目 51705202

江苏省自然科学基金项目 BK20170191

江苏省博士后科研计划 2021Z325

详细信息

作者简介:
万光海(1998-), 硕士研究生，研究方向为先进制造技术、动力学优化技术, 6200810088@stu.jiangnan.edu.cn

通讯作者:
王全龙, 副教授, 硕士生导师, 博士, wangql@jiangnan.edu.cn

中图分类号: TH113
计量
- 文章访问数: 113
- HTML全文浏览量: 45
- PDF下载量: 30
- 被引次数: 0
出版历程
- 收稿日期: 2021-07-14
- 刊出日期: 2023-10-25

Dynamic Analysis and Response Surface Optimization of Pipe Winch Barrel

WAN Guanghai^1
,,
WANG Quanlong^{1, 2
, ,},
WU Meiping^{1, 2},
MIAO Xiaojin^{1, 2},
HAN Zhiping³

1.
School of Mechanical Engineering, Jiangnan University, Wuxi 214122, Jiangsu, China
2.
Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment & Technology at Jiangnan University, Wuxi 214122, Jiangsu, China
3.
Jiangsu Fasten Group Co., Ltd., Jiangyin 214400, Jiangsu

摘要

摘要: 为提升管绞车筒体的抗振性能，开展了三孔筒体振动特性分析，并基于响应面法对筒体进行动力学优化研究。首先基于三孔筒体有限元模型，通过预应力加载及模态分析和谐响应分析，得出筒体的固有频率、振型以及频率与振幅之间的关系。对比模态分析与谐响应分析结果，发现前两阶固有频率对筒体的影响较大，易引起共振；通过探究开孔数量对筒体的影响，发现两孔筒体固有频率更高。借助灵敏度分析筛选设计变量，并运用面心复合设计获取样本点，构建Kriging响应面模型进行结构和材料参数优化。结果显示：优化后的筒体相比于原三孔筒体，其前两阶固有频率分别提升了189%和359.7%，其质量也降低了39%。
- 管绞车筒体 /
- 模态分析 /
- 谐响应分析 /
- 响应面法 /
- 动力学优化
Abstract: In order to improve the anti-vibration performance of a pipe winch barrel, the vibration characteristics of the three-hole winch barrel were analyzed, and the dynamic optimization of the winch barrel was studied based on the response surface method. Firstly, based on the finite element model of the three-hole winch barrel, the natural frequency, vibration mode and relationship between frequency of the cylinder and its amplitude were obtained with prestressed loading, modal analysis and harmonic response analysis. The comparison of modal analysis results with harmonic response analysis results finds that the first two natural frequencies have a great influence on the winch barrel and easily cause resonance. The study of the influence of the number of holes on the cylinder shows that the natural frequency of the two-hole cylinder is higher. The design variables were screened with sensitivity analysis, and sample points were obtained with the face-centered composite design. The Kriging response surface model was constructed to optimize the structural and material parameters. The results show that compared with the original three-hole winch barrel, the first two natural frequencies of the optimized winch barrel increase by 189% and 359.7% respectively and that the mass of the optimized winch barrel decreases by 39%.
- pipe winch barrel /
- modal analysis /
- harmonic response analysis /
- response surface method /
- dynamic optimization

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图 1 管绞车实物图

Figure 1. Physical diagram of the pipe winch

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图 2 筒体三维模型

Figure 2. Three-dimensional model of the cylinder

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图 3 模态分析得到的网格尺寸与频率的关系

Figure 3. Relationship between mesh size and frequency obtained from modal analysis

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图 4 网格划分模型

Figure 4. Mesh partition model

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图 5 三孔筒体前6阶模态振型图

Figure 5. First six-order modes shape figure of the three-hole cylinder

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图 6 X, Y, Z方向上振幅和频率的关系

Figure 6. Relationship between amplitude and frequency in the X, Y, and Z directions

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图 7 二孔筒体变形云图

Figure 7. Deformation cloud map of the two-hole cylinder

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图 8 筒体参数灵敏度条形图

Figure 8. Bar chart of cylinder parameter sensitivity

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图 9 Kriging模型计算值和预测值关系

Figure 9. Relationship between calculated and predicted values in the Kriging model

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图 10 设计变量对频率的响应

Figure 10. Response of the design variable to frequency

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图 11 设计变量对质量的响应

Figure 11. Response of design variables to quality

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表 1 筒体材料的基本性能

Table 1. Basic properties of cylinder material

弹性模量/GPa	密度/(kg·m^-3)	泊松比
213	7 900	0.282

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表 2 网格尺寸与单元节点的关系

Table 2. The relationship between mesh size and element nodes

网格尺寸/mm	节点数	单元数
20	151 309	78 872
30	95 859	49 243
40	69 712	35 204
50	53 874	26 983
60	48 457	24 088

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表 3 筒体前6阶固有频率及变形

Table 3. First six-order natural frequencies and deformations of the cylinder

阶次	固有频率/Hz	各阶最大变形值/mm
1	325.26	6.421
2	380.85	7.085
3	1 220.3	3.897
4	2 094.6	3.858
5	2 916.1	3.381
6	3 043.3	3.641

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表 4 两孔和三孔筒体模态频率及变形对比

Table 4. Modal frequency and deformation comparison between two-hole and three-hole cylinders

阶次	两孔筒体		三孔筒体
阶次	频率/Hz	最大变形/mm	频率/Hz	最大变形/mm
1	1 137.4	4.163	325.26	6.421
2	1 858.2	4.023	380.85	7.085
3	2 583.9	2.818	1 220.30	3.897
4	2 738.3	3.404	2 094.60	3.858
5	2 990.0	3.411	2 916.10	3.381
6	3 031.9	3.890	3 043.30	3.641

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表 5 筒体参数设计表

Table 5. Table for cylinder parameter design

设计变量	下限	原设计值	上限
P₂/GPa	191	213	234
P₃/(kg·m^-3)	7 300	7 900	8 500
P₄/mm	378	388	398
P₅/mm	270.6	290.6	310.6

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表 6 面心复合设计试验数据表

Table 6. Table for the face-centered composite design and experimental data

编号	设计变量				输出变量
编号	P₂/GPa	P₃/(kg·m^-3)	P₄/mm	P₅/mm	M/kg	f₁/Hz	f₂/Hz
1	213	7 900	388	290.6	339.7	1138.3	1 858.7
2	191	7 900	388	290.6	339.7	744.0	1 580.0
3	234	7 900	388	290.6	339.7	1 427.4	2 100.6
4	213	7 300	388	290.6	313.9	1 380.4	2 059.6
5	213	8 500	388	290.6	365.5	878.5	1 666.8
6	213	7 900	378	290.6	427.2	1 185.9	1 870.1
7	213	7 900	398	290.6	248.3	1 035.6	1 817.2
8	213	7 900	388	270.6	354.1	1 164.9	1 927.2
9	213	7 900	388	310.6	323.9	1 106.9	1 784.5
10	191	7 300	378	270.6	412.5	1 136.4	1 878.8
11	234	7 300	378	270.6	412.5	472.7	1 708.2
12	191	8 500	378	270.6	480.3	505.9	1 476.4
13	234	8 500	378	270.6	480.3	1 286.5	2 001.1
14	191	7 300	398	270.6	238.6	960.4	1 809.6
15	234	7 300	398	270.6	238.6	122.5	1 582.5
16	191	8 500	398	270.6	277.9	1 390.9	2 260.7
17	234	8 500	398	270.6	277.9	1 129.7	1 935.5
18	191	7 300	378	310.6	375.2	1 056.9	1 716.6
19	234	7 300	378	310.6	375.2	532.7	1 645.1
20	191	8 500	378	310.6	436.8	325.2	1 295.8
21	234	8 500	378	310.6	436.8	1 213.5	1 841.9
22	191	7 300	398	310.6	219.6	918.4	1 683.0
23	234	7 300	398	310.6	219.6	363.9	1 552.2
24	191	8 500	398	310.6	255.7	1 246.7	2 088.7
25	234	8 500	398	310.6	255.7	1 092.5	1 811.7

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表 7 Kriging模型合理性评估

Table 7. Rational evaluation of the Kriging model

目标参数	R²	RMSE		RMAE
目标参数	学习点	学习点	验证点	学习点	验证点
M	1	3.37×10^-9	0.068	0	0.113 5
f₁	1	3.58×10^-7	3.416	0	1.028 7
f₂	1	4.78×10^-8	0.321	0	0.153 4

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表 8 3组优化方案

Table 8. Three sets of optimization solutions

方案	P₂/GPa	P₃/(kg·m^-3)	P₄/mm	P₅/mm
1	211	7385	397.95	310.22
2	196	7335	397.85	307.22
3	209	7330	397.81	308.24

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表 9 各方案及原设计频率对比

Table 9. Comparison of each solution to the original design frequency

方案	质量M/mm	频率f₁/Hz	频率f₂/Hz
1	222.81	835.67	1 727.7
2	223.77	940.08	1 750.7
3	223.34	842.63	1 731
原三孔	368.67	325.26	380.83

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表 10 最优方案与原设计振型变形量对比

Table 10. Comparison between the optimal solution and the original design

阶数	优化前变形量/mm	优化后变形量/mm
1	6.421	5.353
2	7.085	5.156
3	3.897	3.622
4	3.858	4.326
5	3.381	4.424
6	3.641	4.618

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参考文献(18)

[1]	常晋雷. 关于矿用绞车滚筒的振动模态分析[J]. 机械管理开发, 2019, 34(10): 90-91+97. doi: 10.16525/j.cnki.cn14-1134/th.2019.10.036 CHANG J L. The vibration mode analysis of the roller of the mine winch[J]. Mechanical Management and Development, 2019, 34(10): 90-91+97. (in Chinese) doi: 10.16525/j.cnki.cn14-1134/th.2019.10.036
[2]	付石, 沈俊杰, 王彩涛. 基于ANSYS的塔机动力学模态分析[J]. 南方农机, 2021, 52(5): 107-108. https://www.cnki.com.cn/Article/CJFDTOTAL-NFLJ202105047.htm FU S, SHEN J J, WANG C T. Dynamic modal analysis of tower crane based on ANSYS[J]. China Southern Agricultural Machinery, 2021, 52(5): 107-108. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-NFLJ202105047.htm
[3]	XIA Q, ZHAO J, WANG D F, et al. Analysis of dynamic response and fatigue life of masonry pagoda under the influence of train vibration[J]. Advances in Civil Engineering, 2020, 2020: 7236310.
[4]	宗荣. JWF1207梳棉机锡林机构的分析与研究[D]. 青岛: 青岛科技大学, 2012. ZONG R. Analysis & research on cylinder mechanism of JWF1207 carding[D]. Qingdao: Qingdao University of Science & Technology, 2012. (in Chinese)
[5]	ZHANG Y C, LI W S, JI Z, et al. Vehicle ride comfort analysis based on vehicle-bridge coupled vibration[J]. Shock and Vibration, 2021, 2021: 5285494.
[6]	张夏琦, 王金龙, 陈辉, 等. 基于ANSYS Workbench的采煤机联接架模态分析及优化[J]. 煤矿机械, 2021, 42(5): 180-183. https://www.cnki.com.cn/Article/CJFDTOTAL-MKJX202105058.htm ZHANG X Q, WANG J L, CHEN H, et al. Modal analysis and optimization of shearer connecting frame based on ANSYS workbench[J]. Coal Mine Machinery, 2021, 42(5): 180-183. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-MKJX202105058.htm
[7]	白颖, 莫莉萍, 张希腾. 基于多体动力学的柴油机机体振动分析[J]. 现代制造工程, 2021(3): 106-112. https://www.cnki.com.cn/Article/CJFDTOTAL-XXGY202103020.htm BAI Y, MO L P, ZHANG X T. Vibration analysis of a diesel engine block based on multi-body dynamics[J]. Modern Manufacturing Engineering, 2021(3): 106-112. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XXGY202103020.htm
[8]	房建斌, 赵宇博, 张欣. 某机载电子设备托架结构优化设计及动力学分析[J]. 电子机械工程, 2021, 37(2): 13-16. https://www.cnki.com.cn/Article/CJFDTOTAL-DZJX202102004.htm FANG J B, ZHAO Y B, ZHANG X. Optimal design and dynamic analysis of bracket structure of airborne electronic equipment[J]. Electro-Mechanical Engineering, 2021, 37(2): 13-16. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-DZJX202102004.htm
[9]	RUBIO L, LOYA J A, MIGUÉLEZ M H, et al. Optimization of passive vibration absorbers to reduce chatter in boring[J]. Mechanical Systems and Signal Processing, 2013, 41(1-2): 691-704. doi: 10.1016/j.ymssp.2013.07.019
[10]	ZHANG C J, REN Y S, JI S J, et al. Analysis of the vibration and chatter stability of a tapered composite boring bar[J]. Shock and Vibration, 2020, 2020: 4190806.
[11]	王欣欣, 李中凯, 刘等卓. 基于响应面法的玻璃钻孔支撑结构优化设计[J]. 组合机床与自动化加工技术, 2021(2): 131-135. https://www.cnki.com.cn/Article/CJFDTOTAL-ZHJC202102032.htm WANG X X, LI Z K, LIU D Z. Optimization of glass drilling support structure based on response surface method[J]. Modular Machine Tool & Automatic Manufacturing Technique, 2021(2): 131-135. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZHJC202102032.htm
[12]	WANG Y H, ZHANG C, SU Y Q. Structure optimization of the frame based on response surface method[J]. International Journal of Structural Integrity, 2020, 11(3): 411-425.
[13]	米男男, 李光. 分析天平包装件随机振动仿真分析及优化设计[J]. 振动与冲击, 2019, 38(4): 206-212. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201904031.htm MI N N, LI G. Random vibration simulation analysis and an optimization design of analytical balance packages[J]. Journal of Vibration and Shock, 2019, 38(4): 206-212. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201904031.htm
[14]	GKINIS T, AHMANI R, RAHNEJAT H. Effect of clutch lining frictional characteristics on take-up judder[J]. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2017, 231(3): 493-503.
[15]	闻邦椿, 刘树英, 张纯宇. 机械振动[M]. 2版. 北京: 冶金工业出版社, 2011. WEN B C, LIU S Y, ZHANG C Y. Mechanical vibration[M]. 2nd ed. Beijing: Metallurgical Industry Press, 2011. (in Chinese)
[16]	QIN X P, WANG Y L, LU C H, et al. Structural acoustics analysis and optimization of an enclosed box-damped structure based on response surface methodology[J]. Materials & Design, 2016, 103: 236-243.
[17]	徐兴伟, 胡晓兵, 武韶敏, 等. 实验设计及kriging响应面在优化设计中的应用[J]. 组合机床与自动化加工技术, 2017(1): 62-65. https://www.cnki.com.cn/Article/CJFDTOTAL-ZHJC201701017.htm XU X W, HU X B, WU S M, et al. Experimental design and response surface of kriging in the application of the optimization design[J]. Modular Machine Tool & Automatic Manufacturing Technique, 2017(1): 62-65. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZHJC201701017.htm
[18]	高云凯, 申振宇, 冯兆玄, 等. 多目标优化在车门轻量化设计中的应用[J]. 同济大学学报(自然科学版), 2017, 45(2): 275-280. https://www.cnki.com.cn/Article/CJFDTOTAL-TJDZ201702019.htm GAO Y K, SHEN Z Y, FENG Z X, et al. Application of multi-objective optimization in vehicle door lightweight[J]. Journal of Tongji University (Natural Science), 2017, 45(2): 275-280. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TJDZ201702019.htm