To more accurately calculate the dynamic reliability for the center gear of power\nassisting cycle with various failure modes, the multi-extremum response surface method is\nadopted. The first, the gear�s torque, material density, elastic modulus and poisson's ratio are\nsampled in small batches as the random input samples, the dynamic extremum of deformation,\nstress and strain are obtained as output response by finite element model. Then, the multiextremum\nresponse surface equation is established. Finally, multitudinous sample points are\nobtained by using Monte Carlo method and linkage sampling to multi-extremum response\nsurface equation, which can used to calculate the reliability of the deformation, stress and strain\nof the gear in the comprehensive failure mode. The results show that the comprehensive\nreliability degree of gear is 0.9949 when the allowable deformation, stress and strain are 0.47\nmm, 540 Mpa and 0.003 , respectively.
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