柔性Rushton搅拌桨的振动特性

doi:10.11949/0438-1157.20201151

化工学报 ›› 2021, Vol. 72 ›› Issue (4): 1975-1986.DOI: 10.11949/0438-1157.20201151

柔性Rushton搅拌桨的振动特性

杨锋苓^1,^2,³(),曹明见⁴,张翠勋⁴,刘欣¹

^1.山东大学机械工程学院，山东济南 250061
^2.高效洁净机械制造教育部重点实验室（山东大学），山东济南 250061
^3.山东大学机械工程国家级实验教学示范中心，山东济南 250061
^4.山东天力能源股份有限公司，山东济南 250100

收稿日期:2020-08-11 修回日期:2020-09-17 出版日期:2021-04-05 发布日期:2021-04-05
通讯作者: 杨锋苓
作者简介:杨锋苓（1979—），男，博士，副教授，fly@sdu.edu.cn
基金资助:
山东省重点研发计划项目(2017GGX70101)

Vibration characteristics of the flexible-blade Rushton impeller

YANG Fengling^1,^2,³(),CAO Mingjian⁴,ZHANG Cuixun⁴,LIU Xin¹

^1.School of Mechanical Engineering，Shandong University，Jinan 250061，Shandong, China
^2.Key Laboratory of High-efficiency and Clean Mechanical Manufacture (Shandong University), Ministry of Education, Jinan 250061, Shandong, China
^3.National Experimental Teaching Demonstration Center of Mechanical Engineering, Shandong University, Jinan 250061, Shandong, China
^4.Shandong Tianli Energy Co. , Ltd. , Jinan 250100, Shandong, China

Received:2020-08-11 Revised:2020-09-17 Online:2021-04-05 Published:2021-04-05
Contact: YANG Fengling

摘要/Abstract

摘要：

采用数值模拟的方法分析了课题组前期开发的实验室规模的柔性叶片Rushton搅拌桨的振动特性，并采用丹麦的Brüel & Kj?r及中国的东华振动测试仪进行了实验研究。结果表明，桨轴系统的第1~6阶振型为弯曲型，第7~12阶振型为扭转型。模拟得到的固有频率与实验结果吻合较好，均表明存在集聚现象；与干模态固有频率相比，湿模态固有频率有所降低。承受高频交变激励载荷时，桨轴系统存在明显的应力和应变谐响应。桨轴系统的固有频率随转速的增大而减小，随介质黏度的增大而增大。研究结果为柔性叶片Rushton搅拌桨的放大设计及工业应用奠定了基础。

关键词: 搅拌容器, 柔性Rushton搅拌桨, 振动特性, 数值模拟, 实验验证

Abstract:

In this paper, vibration characteristics of the bench-scale flexible-blade Rushton impeller developed by our team previously were numerically studied. Experimental measurements using the Denmark Brüel & Kj?r and China Donghua vibration testing instruments were also carried out. It was found that the 1st to 6th and the 7th to 12th-order vibration mode of the flexible-blade impeller and shaft system was the bending and torsional type, respectively. The simulated natural frequencies agree well with the experimental results, both indicate the existence of frequency concentrating phenomenon. Compared with the dry-modal natural frequencies, the wet-modal natural frequencies are decreased. When exerted high-frequency alternating excitation load, there is clear stress and strain harmonic responses. Natural frequency of this system decreases with the increase of impeller rotational speed, and increases with the increase of fluid viscosity. The research results lay the foundation for the enlarged design and industrial application of flexible blade Rushton impeller.

Key words: stirred vessel, flexible-blade Rushton impeller, vibration characteristics, numerical simulation, experimental validation

中图分类号:

TQ 027

杨锋苓, 曹明见, 张翠勋, 刘欣. 柔性Rushton搅拌桨的振动特性[J]. 化工学报, 2021, 72(4): 1975-1986.

YANG Fengling, CAO Mingjian, ZHANG Cuixun, LIU Xin. Vibration characteristics of the flexible-blade Rushton impeller[J]. CIESC Journal, 2021, 72(4): 1975-1986.

图/表 20

参考文献 30

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搅拌介质	密度ρ/ (kg·m^-3)	黏度μ/ (Pa·s)	转速N/ s^-1	Reynolds数 (Re=ρNd²/μ)
水	998.20	0.001	1~5	22500~112500
70%甘油	1183.77	0.023	2	2367
80%甘油	1210.28	0.060	2	906
90%甘油	1236.79	0.219	2	254
100%甘油	1263.30	1.412	2	40

搅拌介质	密度ρ/ (kg·m^-3)	黏度μ/ (Pa·s)	转速N/ s^-1	Reynolds数 (Re=ρNd²/μ)
水	998.20	0.001	1~5	22500~112500
70%甘油	1183.77	0.023	2	2367
80%甘油	1210.28	0.060	2	906
90%甘油	1236.79	0.219	2	254
100%甘油	1263.30	1.412	2	40

网格密度	网格尺寸		网格数量/个	网格质量
网格密度	静子	转子	网格数量/个	网格质量
coarse	5	4	458811	0.86
medium	4	3	950124	0.89
fine	3.8	2.8	1142299	0.89

网格密度	网格尺寸		网格数量/个	网格质量
网格密度	静子	转子	网格数量/个	网格质量
coarse	5	4	458811	0.86
medium	4	3	950124	0.89
fine	3.8	2.8	1142299	0.89

阶数	干模态频率/Hz	湿模态频率/Hz	下降比例/%
1	24.811	24.210	2.42
2	24.811	24.211	2.42
3	24.811	24.218	2.39
4	24.812	24.232	2.34
5	24.812	24.244	2.29
6	24.812	24.253	2.25
7	84.536	82.707	2.16
8	84.536	82.720	2.15
9	84.536	82.742	2.12
10	84.536	82.745	2.12
11	84.536	82.771	2.09
12	84.537	82.804	2.05
13	150.280	149.580	0.47
14	150.280	149.600	0.45
15	150.380	149.690	0.46
16	150.420	149.730	0.46
17	150.420	149.730	0.46
18	150.420	149.750	0.45
19	189.540	189.500	0.02
20	189.540	189.500	0.02
21	190.050	190.010	0.02
22	190.290	190.250	0.02
23	190.290	190.250	0.02
24	190.590	190.560	0.02

柔性Rushton搅拌桨的振动特性

Vibration characteristics of the flexible-blade Rushton impeller

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图/表 20

参考文献 30

相关文章 15

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Metrics

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阶数	实验结果/Hz	仿真结果/Hz	偏差
1	24.000	24.811	3.38%
2	24.000	24.811
3	24.000	24.811
4	24.000	24.812
5	24.000	24.812
6	24.000	24.812
7	82.000	84.536	3.09%
8	82.000	84.536
9	82.000	84.536
10	82.000	84.536
11	82.000	84.536
12	82.000	84.537

阶数	实验结果/Hz	仿真结果/Hz	偏差/%
1	23.750	24.210	1.94
2	23.750	24.211	1.94
3	23.750	24.218	1.97
4	23.750	24.232	2.03
5	23.750	24.244	2.08
6	23.750	24.253	2.12
7	78.750	82.707	5.02
8	78.750	82.720	5.04
9	78.750	82.742	5.07
10	78.750	82.745	5.07
11	78.750	82.771	5.11
12	78.750	82.804	5.15

阶数	频率/Hz
阶数	1 s^-1	3 s^-1	4 s^-1	5 s^-1
1	24.758	22.584	18.971	11.073
2	24.762	22.604	19.157	11.745
3	24.765	22.625	19.167	11.917
4	24.767	22.651	19.239	12.079
5	24.767	22.714	19.325	12.296
6	24.770	22.766	19.531	12.453
7	84.324	78.317	69.234	52.678
8	84.332	78.367	69.486	53.441
9	84.335	78.367	69.522	53.457
10	84.340	78.435	69.578	53.684
11	84.342	78.547	69.750	53.973
12	84.350	78.671	70.154	54.516

阶数	下降比例/%
阶数	1~2 s^-1	2~3 s^-1	3~4 s^-1	4~5 s^-1
1	2.21	6.72	16.00	41.63
2	2.23	6.64	15.25	38.69
3	2.21	6.58	15.28	37.83
4	2.16	6.52	15.06	37.22
5	2.11	6.31	14.92	36.37
6	2.09	6.13	14.21	36.24
7	1.92	5.31	11.60	23.91
8	1.91	5.26	11.33	23.09
9	1.89	5.29	11.29	23.11
10	1.89	5.21	11.29	22.84
11	1.86	5.10	11.20	22.62
12	1.83	4.99	10.83	22.29

阶数	固有频率/Hz
阶数	70%	80%	90%	100%
1	24.481	25.422	26.481	28.588
2	24.481	25.424	26.488	28.595
3	24.520	25.428	26.490	28.600
4	24.523	25.436	26.492	28.607
5	24.548	25.442	26.500	28.615
6	24.566	25.444	26.505	28.641
7	83.283	84.854	86.220	86.570
8	83.357	84.855	86.231	86.594
9	83.430	84.880	86.232	86.599
10	83.437	84.884	86.232	86.602
11	83.512	84.897	86.236	86.605
12	83.514	84.906	86.237	86.640

阶数	固有频率的增加比例/%
阶数	0.001~0.023 Pa·s	0.023~0.060 Pa·s	0.060~0.219 Pa·s	0.219~1.412 Pa·s
1	1.12	3.84	4.17	7.96
2	1.12	3.85	4.19	7.95
3	1.25	3.70	4.18	7.97
4	1.20	3.72	4.15	7.98
5	1.25	3.64	4.16	7.98
6	1.29	3.57	4.17	8.06
7	0.70	1.89	1.61	0.41
8	0.77	1.80	1.62	0.42
9	0.83	1.74	1.59	0.43
10	0.84	1.73	1.59	0.43
11	0.90	1.66	1.58	0.43
12	0.86	1.67	1.57	0.47

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