Analysis and optimization of traveling wave vibration of five kinds of diamond circular saw blades
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摘要: 为降低金刚石圆锯片在石材切割时产生的锯切噪声,选取常规锯片、打孔锯片、切缝锯片以及在基体上开鼻型径向槽、开孔与夹层的5种典型金刚石圆锯片,利用Workbench软件对其模态、行波振动进行分析,研究其对行波振动的影响。结果表明:直径为180和230 mm的常规锯片出现行波共振,产生强烈噪声;直径为105、115和350 mm的常规锯片不出现行波共振。直径为180和230 mm的切缝锯片δ值偏大,有效避开了行波共振;直径为115和350 mm的切缝锯片δ值偏小,其降噪效果差;而直径为105 mm的夹层锯片δ值偏大,降噪效果好。5种直径锯片采用开鼻形径向槽、雨滴孔和阻尼夹层的设计方案,其δ值分别为8.13%、7.21%、6.01%、6.39%和7.00%,可进一步避开行波共振,其降噪效果更好。Abstract: In order to reduce the sawing noise generated by diamond circular saw blades during stone processing, five typical diamond circular saw blades were selected for modal analysis and traveling wave vibration analysis by using Workbench software. The study explored the impact of various saw blade designs, including conventional saw blades, perforated saw blades, slit saw blades, and saw blades with nose-shaped radial grooves, holes, and interlayers, on traveling wave vibrations. The results show that the traveling wave resonance occurs in the conventional saw blades with diameters of 180 mm and 230 mm, causing strong noise. Conventional saw blades with diameters of 115 mm, 350 mm and 105 mm do not show traveling wave resonance. The δ value for the 180 mm and 230 mm saw blades is too large, which effectively presents traveling wave resonance. The δ value for the 115 mm and 350 mm saw blade is too small, which does not reduce noise very well. The δ value for the 105 mm sandwich saw blade is too large and has a significant effect on noise reduction. To avoid traveling wave resonance and enhance noise reduction, five design schemes incorporating radial grooves, raindrop holes, and damping interlayers are proposed for various blade diameters. The resulting δ values are 8.13 %, 7.21 %, 6.01 %, 6.39 %, and 7.00 %, respectively.
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Key words:
- diamond circular saw blade /
- interlayer /
- modal analysis /
- traveling wave vibration
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图 9 105 mm锯片模型[12]
Figure 9. 105 mm saw blade model
表 1 圆锯片尺寸和物理参数
Table 1. Dimensions and physical parameters of circular saw blade
参数 取值 直径 D / mm 115 内径 d1 / mm 22.30 法兰盘内径 d2 / mm 44.46 基体厚度 t1 / mm 1.2 刀头厚度 t2 / mm 2.0 齿数 Z / 个 10 基体杨氏模量 E1 / Pa 2.1$ \times $1011 基体泊松比 ε1 0.30 基体密度 ρ1 / (kg·m−3) 7 800 刀头杨氏模量 E2 / Pa 5.6$ \times $1011 刀头泊松比 ε2 0.47 刀头密度 ρ2 / (kg·m−3) 2100 表 2 5种方案中金刚石圆锯片的部分典型固有频率
Table 2. Partial typical natural frequencies of diamond circular saw blades in five schemes
阶
数
n固有频率 f / Hz 方案
一方案
二方案
三方案
四方案
五1 616.91 602.23 407.67 514.89 473.46 10 966.07 950.96 759.00 841.28 902.41 20 3 074.60 3 052.90 2 712.60 2859.00 3 037.60 24 5 376.40 5 321.20 3 474.10 4 719.00 4 891.70 26 6 145.50 6 082.40 3 484.60 5 191.70 5 593.40 30 7427.00 7 333.20 3 513.80 5 682.40 6 415.40 40 12 455.00 12 173.00 4 590.10 8 392.70 10 911.00 49 13 764.00 13 648.00 5 048.60 9 990.10 13 132.00 50 13 765.00 13 648.00 5 048.80 9 994.70 13 134.00 60 16 867.00 16 810.00 6 362.60 10 994.00 15 854.00 70 23 274.00 23 121.00 9 931.20 11 332.00 19 187.00 80 25 984.00 25 901.00 11 678.00 13 530.00 22 574.00 90 29 741.00 28 971.00 12 164.00 17 256.00 23 951.00 100 32 652.00 32 505.00 12 517.00 18 262.00 26 648.00 表 3 5种方案的锯片行波振动计算值
Table 3. Calculated values of saw blade traveling wave vibration in 5 schemes
方案 数据 $ {P}_{\mathrm{f}} $ / Hz $ {P}_{\mathrm{b}} $ / Hz $ p $ / Hz 噪声 LPN / dB Δmin / Hz δmin / % 一 6645.51 6312.02 6666.80 98.0 21.29 0.32 二 12975.02 13481.33 13333.60 96.5 147.73 1.11 三 12667.35 13155.65 13333.60 96.0 177.95 1.33 四 6515.75 6400.15 6666.80 95.5 151.05 2.27 五 5225.04 5640.62 5000.10 224.94 4.50 表 4 阻尼夹层的尺寸和物理参数
Table 4. Size and physical parameters of damping interlayer
参数 取值 外径 D1 / mm 73.0 内径 d3 / mm 22.23 厚度 t3 / mm 0.4 弹性模量 E3 / Pa 7.8 × 106 泊松比 ε3 0.47 密度 ρ3 / (kg·m−3) 1 300 表 5 方案六的部分固有频率
Table 5. Partial natural frequencies of scheme 6
阶数
n固有频率
f / Hz阶数 n 固有频率
f / Hz1 378.75 45 9 732.20 5 414.13 50 10 139.00 10 848.54 65 10 704.00 15 1 817.20 70 13 669.00 20 2 117.00 75 14 665.00 25 3 693.00 80 15 601.00 30 5 459.70 85 16 469.00 35 8 388.20 90 16 661.00 40 9 290.00 95 17 244.00 42 9 344.20 100 19 262.00 表 6 方案六的行波振动计算值
Table 6. Traveling wave vibration calculate values of scheme 6
项目 取值 Pf / Hz 7 591.07 Pb / Hz 9 010.86 $ p $ / Hz 8333.50 Δmin / Hz 677.36 δmin / % 8.13 表 7 3种规格锯片阻尼夹层的尺寸
Table 7. Dimensions of three types of saw blade damping interlayer
直径
D / mm取值 外径 D2 / mm 内径 d4 / mm 350 114.0 25.40 230 80.0 22.23 180 56.5 22.23 表 8 3种方案的行波振动计算结果
Table 8. Calculation results of traveling wave vibration for three schemes
直径
D / mm是否行
波振动方案一
δ1 / %方案二
δ2 / %方案三
δ3 / %方案四
δ4 / %方案五
δ5 / %方案六
δ6 / %方案一
噪声
LPN1 / dB方案二
噪声
LPN2 / dB方案三
噪声
LPN3 / dB方案四
噪声
LPN4 / dB方案一与方案
四比较降噪
LPN5 / dB350 否 0.48 1.13 1.49 2.39 5.82 7.21 98.0 100.0 97.0 96.5 1.5 230 是 0.11 1.52 4.01 4.07 5.17 6.39 107.0 103.0 101.0 100.0 7.0 180 是 0.04 2.23 3.53 4.17 4.43 6.01 103.0 101.0 96.5 96.0 7.0 表 9 5种规格金刚石圆锯片行波振动计算结果
Table 9. Calculation results of traveling wave vibration for five kinds of diamond circular saw blades
直径
D / mm是否
行波
振动方案一
δ1 / %方案二
δ2 / %方案三
δ3 / %方案四
δ4 / %方案五
δ5 / %方案六
δ6 / %方案七
δ7 / %方案八
δ8 / %方案九
δ9 / %方案十
δ10 / %方案一
噪声
LPN1 / dB方案二
噪声
LPN2 / dB方案三
噪声
LPN3/ dB方案四
噪声
LPN4/ dB方案七
噪声
LPN6 / dB方案八
噪声
LPN7 / dB降噪
LPN5 / dB115 否 0.32 1.11 1.33 2.27 4.50 8.13 98.0 96.5 96 95.5 2.5 350 否 0.48 1.13 1.49 2.39 5.82 7.21 98.0 100.0 97.0 96.5 1.5 230 是 0.11 1.52 4.01 4.07 5.17 6.39 107.0 103.0 101.0 100.0 7.0 180 是 0.04 2.23 3.53 4.17 4.43 6.01 103.0 101.0 96.5 96.0 7.0 105 否 0.24 4.68 4.14 7.00 94.0 84.0 10.0 -
[1] 李丽萍, 卓丽云, 王君超. 工艺参数对圆锯片动态稳定性影响研究 [J]. 制造技术与机床,2022(10):157-163.LI Liping, ZHUO Liyun, WANG Junchao. Study on the influence of process parameters to the dynamic stability of circular saw blade [J]. Manufacturing Technology & Machine Tool,2022(10):157-163. [2] 田永军, 孙爽, 张翔宇, 等. 金刚石圆锯片振动与噪声机理及其减振降噪技术研究综述 [J]. 机械设计,2020,37(3):1-13.TIAN Yongjun, SUN Shuang, ZHANG Xiangyu, et al. Review of the research on the vibration and noise mechanism of diamond circular saw blades and the vibration-and-noise reduction technology [J]. Journal of Machine Design,2020,37(3):1-13. [3] 于家伟, 张进生, 王志, 等. 基于FEM/BEM的开降噪孔金刚石圆锯片孔形研究 [J]. 金刚石与磨料磨具工程,2016,36(4):63-67, 74. doi: 10.13394/j.cnki.jgszz.2016.4.0013YU Jiawei, ZHANG Jinsheng, WANG Zhi, et al. Study on hole shape of diamond circular saw blade based on FEM/BEM [J]. Diamond & Abrasive Engineering,2016,36(4):63-67, 74. doi: 10.13394/j.cnki.jgszz.2016.4.0013 [4] 赵民, 李旭. 金刚石锯片切割石材摩擦与噪声实验研究 [J]. 机械设计与制造,2017(10):16-18.ZHAO Min, LI Xu. Study on the experiment of friction and noise with diamond saw blade cutting stone [J]. Mechanical Design & Manufacture,2017(10):16-18. [5] 陈立新. 胶接圆锯片基体声辐射特性研究及胶接工艺设计 [D]. 济南: 山东大学, 2021.CHEN Lixin. Research on acoustic radiation characteristics of glued circular saw blade matrix and design of gluing process [D]. Jinan: Shandong University, 2021. [6] 邹新光, 刘一波, 刘锟, 等. 无夹层复合基体金刚石锯片噪声研究 [J]. 超硬材料工程,2019,31(3):32-35. doi: 10.3969/j.issn.1673-1433.2019.03.009ZOU Xinguang, LIU Yibo, LIU Kun, et al. Study on noise of diamond saw blade without sandwich composite matrix [J]. Superhard Material Engineering,2019,31(3):32-35. doi: 10.3969/j.issn.1673-1433.2019.03.009 [7] 贾娜, 陈肖男, 岳德国, 等. 超薄硬质合金圆锯片槽孔结构的减振优化设计 [J]. 工具技术,2022,56(8):62-66. doi: 10.3969/j.issn.1000-7008.2022.08.012JIA Na, CHEN Xiaonan, YUE Deguo, et al. Vibration damping optimization design of ultra-thin carbide slotted hole structure circular saw blade [J]. Tool Engineering,2022,56(8):62-66. doi: 10.3969/j.issn.1000-7008.2022.08.012 [8] 陈博. 新型耐磨/消音金刚石圆锯片的研制 [D]. 杭州: 浙江工业大学, 2006.CHEN Bo. Development of new wear-resistant/silencing diamond circular saw blade [D]. Hangzhou: Zhejiang University of Technology, 2006. [9] 冯唯. 金刚石圆锯片水槽优化设计及振动声辐射特性研究 [D]. 济南: 山东大学, 2021.FENG Wei. Optimization design of diamond circular saw blade with flume and study on vibration acoustic radiation characteristics [D]. Jinan: Shandong University, 2021. [10] 赵雷, 张德臣, 闫春宝, 等. 金刚石圆锯片行波共振分析及优化 [J]. 金刚石与磨料磨具工程, 2022, 42(2): 240-247.ZHAO Lei, ZHANG Dechen, YAN Chunbao, et al. Traveling wave resonance analysis and optimization of diamond circular saw blade [J]. Diamond & Abrasive Engineering. 2022, 42(2): 240-247. [11] 刘锟, 刘一波, 邹新光, 等. 金刚石烧结锯片降噪消音研究 [J]. 超硬材料工程,2022,34(3):24-30.LIU Kun, LIU Yibo, ZOU Xinguang, et al. Study on noise reduction and sound suppression of diamond sintered saw blade [J]. Superhard Material Engineering,2022,34(3):24-30. [12] 冯祖宾, 冯海洲, 李庆谊, 等. 消音金刚石锯片的研制 [J]. 金刚石与磨料磨具工程,1999(4):2-4. doi: 10.13394/j.cnki.jgszz.1999.04.001FENG Zubin, FENG Haizhou, LI Qingyi, et al. Development of silencing diamond saw blade [J]. Diamond & Abrasive Engineering,1999(4):2-4. doi: 10.13394/j.cnki.jgszz.1999.04.001 [13] 孙传涛, 张德臣, 代爽. 圆孔锯锯片的模态分析 [J]. 辽宁科技大学学报,2015,38(5):358-362.SUN Chuantao, ZHANG Dechen, DAI Shuang. Modal analysis of circular saw blade [J]. Journal of Liaoning University of Science and Technology,2015,38(5):358-362. [14] 张德臣, 孙艳平, 韩二中. 圆锯片振动和稳定的分析理论与方法 [M]. 北京: 冶金工业出版社, 2018.ZHANG Dechen, SUN Yanping, HAN Erzhong. Analytical theory and method for vibration and stability of circular saw blades [M]. Beijing: Metallurgical Industry Press, 2018. [15] 彭靓, 高子清. 国内外工业噪声标准体系研究及启示 [J]. 噪声与振动控制,2019,39(4):167-172. doi: 10.3969/j.issn.1006-1355.2019.04.031PENG Liang, GAO Ziqing. Research and enlightenment of industrial noise standard system at home and abroad [J]. Noise and vibration control,2019,39(4):167-172. doi: 10.3969/j.issn.1006-1355.2019.04.031 [16] 杨秀鲁, 刘鲁宁, 王永安, 等. 基于ANSYS Workbench软件的圆锯片基体减振降噪设计 [J]. 济南大学学报(自然科学版),2020,34(2):163-168.YANG Xiulu, LIU Luning, WANG Yong'an, et al. Vibration and noise reduction design of circular saw blade matrix based on ANSYS Workbench software [J]. Journal of Jinan University (Natural Science Edition),2020,34(2):163-168. [17] 樊勇. 开槽夹层圆锯片的振动研究及优化设计 [D]. 鞍山: 辽宁科技大学, 2014.FAN Yong. Vibration research and optimization design of slotted sandwich circular saw blade [D]. Anshan: Liaoning University of Science and Technology, 2014. [18] 姚涛, 段国林, 蔡瑾, 等. 开槽填充黏弹性材料对圆锯片振动的影响分析 [J]. 工程设计学报,2010,17(5):355-359. doi: 10.3785/j.issn.1006-754X.2010.05.008YAO Tao, DUAN Guolin, CAI Jin, et al. Analysis of influence of slotted viscoelastic material on vibration of circular saw blade [J]. Journal of Engineering Design,2010,17(5):355-359. doi: 10.3785/j.issn.1006-754X.2010.05.008 -