1前0-25s加速阶段H?at2?H0?4sin?
2t2?0.1045 sin??0.000125 ??arcsin(0.000125t2?0.1045) d??代入式子(2.16)得:
0.000125t1?(0.000125t?0.1045)22
v?1.24sin?cos?0.98?1.24sin2?d??1.24sin?cos?0.98?1.24sin2??0.000125t1?(0.000125t2?0.1045)2(2.17
)
后25-85s匀速阶段
H?H1?v(t?25)?4sin?
sin??0.0045t?0.0701
??arcsin(0.0045t?0.0701)
d?? 代入式子(2.17)得:
0.00451?(0.0045t?0.0701)2
v?1.24sin?cos?0.98?1.24sin2?d??1.24sin?cos?0.98?1.24sin2??0.00451?(0.0045t?0.0701)2 (2.18)
由此可得到液压缸流量公式
0-25s:
Q?Av??D24?1.24sin?cos?0.98?1.24sin?2?0.000125t1?(0.000125t?0.1045)22
(2.19) 25-85s:
9
Q?Av??D24?1.24sin?cos?0.98?1.24sin?2?0.000125t1?(0.000125t?0.1045)22
(2.20)
式中 A——液压缸工作面积 m2 D——直径 m
由下面液压设计部分得到数据直径D?0.125m,A?0.0123m 工作载荷与时间t的函数关系:代入(2.8)式得
2
550000.98?1.24Sin2?F?Sin?
(2.21)
0-25s
550000.98?1.24Sin2?F?Sin?sin??0.000125t2?0.1045
25-85s
550000.98?1.24Sin2?F?Sin?sin??0.0045t?0.0701
利用编程计算求出在相应时间所需要的工作载荷和流量,如下表:
t(s) 1 2 3 4 5 F(KN) V(m/s) 0.000325 0.000653 0.000983 0.001319 0.001663 10
Q(m3/s)?10?4 52.4 52.21 51.91 51.49 50.96 0.03965 0.0797 0.12 0.161 0.203
6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 50.33 49.6 48.78 47.89 46.94 45.92 44.86 43.77 42.65 41.51 40.36 39.19 38.05 36.9 35.77 34.65 33.56 32.49 31.45 30.44 29.74 29.07 28.43 0.002024 0.002409 0.002786 0.003196 0.003631 0.004081 0.004360 0.005057 0.005593 0.006163 0.006762 0.007393 0.008057 0.008773 0.009524 0.010327 0.011229 0.012131 0.013032 0.014016 0.010327 0.010491 0.010819 11
0.247 0.294 0.34 0.39 0.443 0.498 0.532 0.617 0.682 0.752 0.825 0.902 0.983 1.07 1.162 1.26 1.37 1.48 1.59 1.71 1.26 1.28 1.32
29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 27.82 27.24 26.69 26.16 25.65 25.16 24.69 24.24 23.81 23.4 23 22.62 22.25 21.89 21.54 21.21 20.89 20.58 20.28 19.99 19.71 19.44 19.18 0.010983 0.011229 0.011475 0.011721 0.011967 0.012213 0.012377 0.012704 0.012868 0.013032 0.013278 0.01352 0.01377 0.014 0.014182 0.014508 0.014672 0.014918 0.015081 0.015409 0.0155737 0.015819 0.015983 12
1.34 1.37 1.4 1.43 1.46 1.49 1.51 1.55 1.57 1.59 1.62 1.65 1.68 1.708 1.73 1.77 1.79 1.82 1.84 1.88 1.9 1.93 1.95
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