彈簧繞簧回火后的直徑收縮量計(jì)算公式

彈簧繞簧回火后的直徑收縮量計(jì)算公式
彈簧繞簧回火后的直徑收縮量為△D=Kt×C×D×T，

其中：Kt=3.188×10-6 C---旋繞比，
D---彈簧中徑， T---回火溫度。

適用范圍：

a) 冷成型工藝
b) 無(wú)心卷制
c) 油回火合金鋼，如60Si2MnA，55CrSi，50CrV等國(guó)產(chǎn)合金鋼絲，SWOSC-V，SWOCV-V，SWOSC-B，SWOSM-B，OTEVA70，SWI-200等國(guó)外合金鋼絲。
通過(guò)以上經(jīng)驗(yàn)公式,能夠減少試驗(yàn)次數(shù)，提高彈簧合格率，降低生產(chǎn)成本。

致謝：大連理工大學(xué)管理學(xué)院 王雪華副教授

備注：
碳素彈簧鋼絲、琴鋼絲無(wú)心繞制成的彈簧可以參照《彈簧設(shè)計(jì)手冊(cè)》(機(jī)械工業(yè)出版社)第3章 第2.4節(jié),彈簧去應(yīng)力回火后彈簧直徑收縮量可按下列經(jīng)驗(yàn)公式估算:△D=4.4×10-6×C×D×T.

參考文獻(xiàn)
1、大連理工大學(xué)管理學(xué)院 《應(yīng)用統(tǒng)計(jì)》 王雪華副教授主編。
2、《彈簧手冊(cè)》機(jī)械工業(yè)出版社 張英會(huì)、劉輝航、王德成主編。
3、SPSS 12 統(tǒng)計(jì)軟件。
4、《六西格瑪解決方案》 廣東經(jīng)濟(jì)出版社 張馳 編著。

彈簧回火收縮量相關(guān)參數(shù)的數(shù)據(jù)匯總 表一
V1 V2 V3 V4 V5 V6 V7 V8 V9
序號(hào) 規(guī)格(d)? 材質(zhì)???? △D(收縮量)? C(旋繞比)? D(中徑)? T(溫度)?? C*D*T C*D*T/1000000
1??? 4.50??? 55CrSi??? 0.25???????? 6.83????? 30.75???? 420???? 88209.45 0.08820945
2??? 4.00??? 55CrSi??? 0.26???????? 8.385???? 33.54???? 420???? 118117.818 0.118117818
3??? 4.00??? 55CrSi??? 0.20???????? 6.375???? 25.50???? 420???? 68276.25 0.06827625
4??? 3.10??? 55CrSi??? 0.16???????? 7.997???? 24.79???? 420???? 83263.1646 0.08326316
5??? 4.00??? 55CrSi??? 0.20???????? 6.35????? 25.40???? 420???? 67741.8 0.0677418
6??? 4.00??? 55CrSi??? 0.30???????? 6.925???? 27.70???? 420???? 80565.45 0.08056545
7??? 3.10? SWOSC-V?? 0.15???????? 6.452???? 20.00???? 420???? 54196.8 0.0541968
8??? 4.00? SWOSC-V?? 0.20???????? 6.225???? 24.90???? 420???? 65101.05 0.06510105
9??? 3.20? SWOSC-V?? 0.10???????? 6.594???? 21.10???? 420???? 58436.028 0.058436028
10?? 3.00?? 55CrSi???? 0.20???????? 6.633???? 19.90???? 420????? 55438.614 0.055438614
11?? 4.00?? 55CrSi???? 0.20???????? 6.425???? 25.70???? 420????? 69351.45 0.06935145
12?? 4.00?? 55CrSi???? 0.20???????? 6.225???? 24.90???? 420????? 65101.05 0.06510105
13?? 3.10?? 55CrSi???? 0.25???????? 6.726???? 0.85????? 420????? 58899.582 0.058899582
14?? 4.20? OTEVA70??? 0.10??????? 5.76?????? 24.20??? 420????? 58564.968 0.058564968
15?? 3.60? OTEVA70??? 0.10??????? 7????????? 25.20??? 420????? 74088 0.074088
16?? 4.75?? 55CrSi???? 0.20???????? 6.06?????? 28.80??? 420????? 73301.76 0.07330176
17?? 4.90?? 55CrSi???? 0.20???????? 5.9??????? 28.91??? 420????? 71638.98 0.07163898
18?? 4.50?? 55CrSi???? 0.20???????? 7.89?????? 35.50??? 420????? 117639.9 0.1176399
19?? 3.00?? 50CrV???? 0.11????????? 8.00????? 24.00???? 360????? 69120 0.06912
20?? 3.20?? 55CrSi???? 0.20???????? 6.063???? 19.40???? 420????? 49401.324 0.049401324
21?? 2.50?? SWOCV-V? 0.20???????? 8.8?????? 22.00???? 420????? 81312 0.081312
22?? 4.25?? SWOCV-V? 0.25???????? 7.224???? 30.70???? 420????? 93146.256 0.093146256
23?? 11.8?? 55CrSi???? 1.1????????? 10.042??? 118.5???? 420?????? 499790.34 0.49979034
24?? 13???? 55CrSi??? 1.1?????????? 9.023???? 117.3??? 420?????? 444527.118 0.444527118
25?? 10.5?? 55CrSi???? 1??????????? 8.762????? 92????? 420?????? 338563.68 0.33856368
26?? 10.4?? 55CrSi??? 0.4?????????? 6.654????? 69.2???? 420????? 193391.856 0.193391856
27?? 12.7?? 55CrSi??? 2.3?????????? 10.866???? 138???? 420?????? 629793.36 0.62979336
28?? 11.5?? 55CrSi???? 0.6????????? 10.374???? 119.3??? 410?????? 507423.462 0.507423462
29?? 10.5?? 55CrSi???? 1.5?????????? 9.476????? 99.5??? 420?????? 396002.04 0.39600204
30?? 10.2?? 55CrSi???? 0.75????????? 9.049????? 92.3??? 395?????? 329912.9665 0.329912967
31?? 11???? 55CrSi???? 1.5?????????? 9????????? 99????? 420?????? 374220 0.37422
32?? 10.7?? 55CrSi???? 1.5?????????? 9.28??????? 99.3??? 420?????? 387031.68 0.38703168
33?? 10???? 55CrSi???? 0.75???????? 9.25??????? 92.5???? 420????? 359362.5 0.3593625
34?? 9.5?? SWOSC-B?? 0.5???????? 10.526????? 100????? 395?????? 415777 0.415777
35? 13.6?? SWOSC-B?? 1.55???????? 7.985????? 108.6???? 420????? 364211.82 0.36421182
36?? 14??? SWOSC-B?? 1??????????? 7.786????? 109?????? 420???? 356443.08 0.35644308
37? 10.5?? SWOSC-B?? 1.2?????????? 8.762????? 92.5????? 400????? 324194 0.324194
38? 14???? SWOSC-B?? 2??????????? 11.143???? 156?????? 420????? 730089.36 0.73008936
39? 12.5?? SWOSC-B?? 2??????????? 8.56??????? 107????? 420?????? 384686.4 0.3846864
40? 12???? 55CrSi???? 1.5?????????? 11.375????? 136.5???? 420?????? 652128.75 0.65212875
41? 9.6??? SWI-200??? 0.5?????????? 9.552?????? 91.7????? 390????? 341608.176 0.341608176
42? 10.5??? 55CrSi??? 2.1??????????? 9.524?????? 100????? 420????? 400008 0.400008
43? 10.2??? 55CrSi??? 2???????????? 10.275????? 104.8???? 400????? 430728 0.430728
44? 11.5??? 55CrSi??? 1.75?????????? 8.065?????? 92.75???? 410????? 306691.7875 0.306691788
45? 12.67?? 55CrSi??? 1.5??????????? 8.471????? 107.33??? 420?????? 381860.8206 0.381860821
46? 10.5??? 55CrSi??? 1.5??????????? 9.524????? 100?????? 400?????? 380960 0.38096
47? 10.5??? 55CrSi??? 1.9??????????? 9.524????? 100?????? 420?????? 400008 0.400008
48? 11???? 60Si2MnA? 1.25?????????? 7.295????? 80.25???? 420?????? 245877.975 0.245877975
49? 10???? 60Si2MnA? 0.75?????????? 5.525????? 55.25???? 400?????? 122102.5 0.1221025
50? 11???? 60Si2MnA? 1???????????? 7.273?????? 80??????? 420?????? 244372.8 0.2443728
51? 10.8?? 60Si2MnA? 0.7?????????? 7.407??????? 80?????? 420?????? 248875.2 0.2488752
52? 12???? 60Si2MnA? 0.5?????????? 5.25??????? 63??????? 400?????? 132300 0.1323
53? 14???? 60Si2MnA? 1???????????? 5?????????? 70??????? 410?????? 143500 0.1435
54? 14???? 60Si2MnA? 1???????????? 5.036?????? 70.5????? 410??????? 145565.58 0.14556558
55? 10.5?? 60Si2MnA? 0.8??????????? 6.638?????? 69.7????? 400?????? 185067.44 0.18506744
56? 11???? 60Si2MnA? 1.25?????????? 7.295?????? 80.25???? 420?????? 245877.975 0.245877975
57? 11.5?? 60Si2MnA?? 0.5?????????? 9?????????? 103.5???? 420??????? 391230 0.39123