Optics and Precision Engineering, Volume. 32, Issue 12, 1879(2024)
Rapid optimization design of closed rectangular hydrostatic air flotation guideway
Figures & Tables(19)
Fig. 4. Pressure cloud at the upper air film surface for different end throttle holes to the end distance of the air float surface
Fig. 5. Effect of distance from end throttle orifice to end of air floatation surface on bearing capacity， stiffness and air consumption
Fig. 6. Pressure cloud at the upper air film surface with different numbers of throttle orifices
Fig. 7. Effect of number of throttling holes on load carrying capacity and stiffness
Fig. 8. Effect of air cavity size on load carrying capacity， stiffness and air consumption
Fig. 9. Effect of throttle orifice size on bearing capacity， stiffness and air consumption
Fig. 11. Comparison of finite element simulation and experimental test results
Table 1. Dimensions of each air film surface of hydrostatic air flotation guideway
View tableView in ArticleTable 1. Dimensions of each air film surface of hydrostatic air flotation guideway
名称 上气浮面 240 15 30 30 15 侧气浮面 240 15 30 20 10 下气浮面 240 15 30 20 10
Table 2. Calculated parameters of air film
View tableView in ArticleTable 2. Calculated parameters of air film
参数名称及单位 数值大小 入口压力 250 000 出口压力 101 325 平均气膜厚度 0.015 气腔直径 3 气腔高度 0.05 节流孔高度 0.5 节流孔直径 0.3
Table 3. Solution setup
Table 4. Numerical magnitude of throttle orifice distribution locations
View tableView in ArticleTable 4. Numerical magnitude of throttle orifice distribution locations
参数 数值大小/mm 4.5 8 11.5 15 18.5 22 33 32 31 30 29 28
Table 5. Factor levels
View tableView in ArticleTable 5. Factor levels
因素 水平 -1 0 1 A气腔直径/mm 1 3 5 B气腔高度/mm 0.03 0.05 0.07 C节流孔直径/mm 0.2 0.3 0.4 D节流孔高度/mm 0.3 0.5 0.7
Table 6. BBD experimental design data
View tableView in ArticleTable 6. BBD experimental design data
序号 A B C D 承载力/ 刚度/（ 耗气量/ （g 1 1 0.03 0.3 0.5 474.682 37.567 2 0.153 568 2 5 0.03 0.3 0.5 595.166 76.552 8 0.218 822 3 1 0.07 0.3 0.5 502.027 22.862 4 0.170 833 4 5 0.07 0.3 0.5 643.152 63.902 4 0.264 65 5 3 0.05 0.2 0.3 505.642 71.616 0.163 607 6 3 0.05 0.4 0.3 602.832 35.839 2 0.245 516 7 3 0.05 0.2 0.7 498.811 74.131 2 0.156 483 8 3 0.05 0.4 0.7 604.21 35.176 8 0.247 363 9 1 0.05 0.3 0.3 492.341 27.892 8 0.163 277 10 5 0.05 0.3 0.3 628.469 69.458 4 0.249 043 11 1 0.05 0.3 0.7 493.09 27.278 4 0.164 911 12 5 0.05 0.3 0.7 627.446 69.518 4 0.246 942 13 3 0.03 0.2 0.5 468.442 72.424 8 0.142 874 14 3 0.07 0.2 0.5 520.747 73.264 8 0.168 49 15 3 0.03 0.4 0.5 589.646 45.984 0.229 049 16 3 0.07 0.4 0.5 608.347 29.349 6 0.254 935 17 1 0.05 0.2 0.5 445.594 47.124 0.134 646 18 5 0.05 0.2 0.5 523.733 86.426 2 0.167 436 19 1 0.05 0.4 0.5 506.016 19.843 2 0.174 637 20 5 0.05 0.4 0.5 660.346 50.702 4 0.293 49 21 3 0.03 0.3 0.3 554.266 61.303 2 0.196 635 22 3 0.07 0.3 0.3 590.117 45.996 0.229 428 23 3 0.03 0.3 0.7 554.443 60.050 4 0.196 961 24 3 0.07 0.3 0.7 590.496 46.099 2 0.228 791 25 3 0.05 0.3 0.5 579.466 51.993 6 0.218 5 26 3 0.05 0.3 0.5 578.229 51.49 0.218 167
Table 7. Fitting function accuracy test
View tableView in ArticleTable 7. Fitting function accuracy test
0.997 5 0.992 1 0.998 5 0.994 3 0.981 9 0.996 6 0.985 7 0.954 3 0.991 4 CV 0.813 6 4.87 1.24 Adeq Precision 66.680 5 38.237 85.954 5
Table 8. Comparison of results before and after optimization
View tableView in ArticleTable 8. Comparison of results before and after optimization
n 承载力/N 刚度 耗气量/（g 优化前 8 0.5 0.3 0.05 3 15 30 519.7 45.7 0.2181 优化后 10 0.7 0.25 0.03 5 12 24 578.3 82.3 0.1835
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Wei HU, Jizhu LIU, Tao LI, Feiyu CHEN, Liguo CHEN. Rapid optimization design of closed rectangular hydrostatic air flotation guideway[J]. Optics and Precision Engineering, 2024, 32(12): 1879
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Received: Jan. 16, 2024
Accepted: --
Published Online: Aug. 28, 2024
The Author Email: LIU Jizhu (liujizhu@suda.edu.cn)
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