Optimum Design And Finite Element Analysis Of Double Circular Arc Gears

With the development of industry and agriculture, gear-driven machine is widely applied. Double-arc gear has the advantage of the involute gear. Owing to high contact intensity and bending strength of double-arc gear. In the transmission, the meshing surfaces are easy to rorm the kinetic pressure oil film and have good running-in property, therefore, the double-arc gear drive is wildly used in the gear drive.Double-Arc Gears are wildly used in the speed reducer. It is important for the economy and performance to optimize the double-arc gears speed reducer with the fuzzy mathematics for the minimal volume. Owing to impersonally fuzzy factors of fuzzy optimum optimization object, design variable and parameter value can obtain any value in the value range of design variable. So mathematics model of fuzzy optimum is much closer to impersonal practice and analytical result is much more reasonable.The traditional plan optimize four variables:the modulus, teeth amonut number,angle of spiral and tooth width. Owing to tooth amount influence to drive ratio,drive ratio error is restricted. In the gear-driven design, there are more contact points to improve the carrying capacity. So the factors to effect the gear-driven are tooth with b, surplus tooth withΔb and the distance to the contact of the points scraggly tooth profile qTA, the relationΔb≥qTA of multi contact points and multi-tooth in the restriction. So carrying capacity is much higher.Calculative programme of optimum is very simple to take model amount as a continuous variable. General speaking, model amount is not a standard value and if model amount adops integer,that may not be the suitbable one, that adds the avoiddle calculative erro to the result. Comparing model amount with model amount in the normative catena, two standard values adjacent to standard model amount are obtained. Obtain the next four calculative results:①standard value of bottom boundary, other design variables optimization result;②standard value of top boundary, other design variables optimization result;③standard value of bottom boundary, make it constant, aim function fixed, other variables are renewedly optimized;④standard value of top boundary, make it constant, aim function fixed, other variables are renewedly optimized.Optimum result is chosen by estimating the four results. The invalidation of the double-arc gear result mainly from the tooth bendt rupture. With a view to complexity of the structure of double-arc gears, the thesis takes advantage of the parametric entity model in Pro/Engineer 3D and exprots it to ANSYS and analyzes the bending stress at root of the gears and obtain the biggest bending stress and provide reference for design.