接触应力计算
接触体弹性模量(Mpa)E1
210000P E2210000
接触体泊松比v10.3
v20.3
接触椭圆长半轴a a 0.306967
接触椭圆短半轴b b 0.306967
物体1表面在接触点上处的主
曲率半径。R1和R1'所在的平面相互垂直。
R1
11.1251/R10.089888R1'11.1251/R1'0.089888
物体2表面在接触点上处的主
曲率半径。R2和R2'所在的平面相互垂直。
R2
11.1251/R20.089888R2'
11.1251/R2'0.089888
两接触体主曲率平面间的夹角ψ01/R1+1/R1'+1/R2+1/R2'0.359551
cosw 00
ω1(2)11()11(11111
cos 22221
12211R R R R R R R R R +'-+'-'++'+=322112
221211
1111123R R R R E E P a '++'+-+-=ννα322112
221211
1111123R R R R E E P b '++'+-+-=ννβ
4.33333E-064.33333E-06最大应力p0
4040.815相对位移δ0.04391
2
1
1E v -2
2
2
1E v -ab P p π230=3221122
2212121
111
)11(23R R R R E
E P '++
'+-+-=ννλδ
800101
10.75
10.750.82.292(1/R1-1/R1')0
0.5440.594(1/R2-1/R2')01
ψ
2cos )1
1)(11(2)1
221122R R R R R '-'-
+'-
ωcos αβλωcos αβλα
βλ
0.10.20.30.40.50.60.70.75
1.07 1.15 1.242 1.351 1.486 1.661 1.905
2.072
0.9360.8780.8220.7690.7170.6640.6080.578 0.7480.7430.7340.7210.7030.6780.6440.622 0.850.90.920.940.960.980.99
2.6
3.093 3.396 3.824
4.508
5.9377.774
0.5070.4610.4380.4120.3780.3280.287
0.5590.510.4840.4520.410.3450.288