OBRABOTKAMETALLOV MATERIAL SCIENCE Том 23 № 3 2021 EQUIPMEN . INSTRUM TS Vol. 4 No. 2 2022 In equation (1), we replace the Мd value with an expression describing a parabola, then we obtain: 2 d d M A B dt , (3) where 2 2 0 m m M A ; 2 0 2 2 0 m m M B , (4) where ω0 and ωm are the angular velocities of the reduced mass of the system corresponding to Мd = 0 и Мd = Mm. Then equation (1) can be rewritten as: 2 2 1 2 c d dJ J A B M dt d , (5) where d dt . Dividing all the terms of this equation by d dt and transforming equation (5), equation becomes: 1 2 0 c dJ A d M B d d J J , (6) Replacing ω2 = u, equation becomes: 2 ( ) 2 ( ) du uf q d , (7) where 1 2 ( ) dJ A d f J ; ( ) c M B q J . Under the initial conditions when t = 0 and u = ω0 2, the solution has the following form: 0 0 2 ( ) 2 ( ) 2 0 0 2 ( ) f d f d e q e d , (8) To determine the moment of the fl ywheel inertia, the following assumption will be taken: 0 const, m J J J where Jm is the reduced fl ywheel moment of inertia; J0 is the reduced kneading machine moment of inertia. The moment of resistance is considered in the form of: 1 2 sin , c M M M n where M1 is the constant part of the reduced moment of useful resistances; M2 is the maximum value of the variable part of the moment; n is the multiplicity of loading within one revolution. Since J = const, ( ) ; A f J 1 2 sin ( ) . M M n B q J
RkJQdWJsaXNoZXIy MTk0ODM1