The analysis of the force of the spring coil is based on the formula (3), and the formula (4) is substituted into the formula (2) to obtain 2MdUD+PsindU2+(P+dP)sindU2+dPcosdU2f=0(5) because dU is small, take sindU2=dU2, cosdU2= 1, dPsindU2 = 0, then the formula (5) is simplified to dP2MD + P = - fdU (6) set the pressure of any two cross-sections of the spring wire are P1 and P2, respectively, the angle between the two sections is U, the (6) Take the integral QP1P2dP2MD+P=-fQU0dU circle as an open ring. When U=0, P2=0, after integration, P1+2MD=2Me-fUD(7). Because P2=0, effective pull force is obtained. Pf0=P1-P2=P1, P1=Pf0 is substituted into equation (7) and Pf0D2=M(e-fU-1) is the effective torque Tf0=M(e-fU-1)(8) Set spring and active The number of contact turns between the housing and the passive housing is N turns, then U=2PN, and the friction torque when the clutch is over is designed by the formula (8) Tf=M(e-2PNf-1)(9), the clutch transmits The working torque T is a known amount, and the relationship between the bending moment M on the cross section of the spring wire and the clutch operating torque T is M=Te2PNf-1 (10), and the formula (10) is substituted into the formula (9) to obtain Tf=T ( e-2PNf-1)e2PNf-1(11) The overrunning friction torque calculated by equation (11) is a negative value indicating super The frictional moment of the time is opposite to the direction of the friction torque at the working stroke. For the convenience of calculation, it is represented by a positive value, so equation (11) can be rewritten as Tf=T(1-e-2PNf)e2PNf-1(12) (12) is the calculation formula of the friction torque when the expansion type self-excited overrunning spring clutch is over. It can be seen from the formula (12) that the friction torque at the time of overtaking increases as the operating torque transmitted by the clutch increases, and decreases as the friction coefficient increases.
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