The function f is the assembly response function the

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Unformatted text preview: ) sin(∆) cos(∆ ) Mf1= 0 0 0 0 0 0 0 0 1 0 0 1 (1) 2π ( + ε n1) with n, the order of tooth and ε(1)n the cumulative z1 pitch step error form the first tooth. TR1, TR2, TR3 and e2 are coaxial errors between gear teeth and hole. ∆ is real angle between revolution axes of wheels; it equal to sum of nominal angle and an error ε∆. φ1 is the rotation angle on pinion. In the same way, the matrixes M68, M46, M24, Mf2 are defined. Therefore, in the frame, the equations of Σ1 and Σ2 are: Angle σ(1) is equal to (n − 1) r (1) (ϕ , θ , φ1 ) = M f 1 .M 13 (φ1 ).M 35 .M 57 .r (1) (ϕ , θ ) 7 f ( 2) ( 2) r f (α , γ , φ 2 ) = M f 2 .M 24 (φ 2 ).M 46 .M 68 .r8 (α , γ ) (3) The nominal active surfaces are conic surfaces with involute to a sphere as lead line: R.b ( i ) . cos(a (i)α ) (4) X ( i ) (α , R) = R.( a (i) . cos(α ). sin( a (i) .α ) + cos( a (i) ). sin ( a (i) .α )) (i) (i) (i) (i) (i) R.( a . sin ( a ). cos( a .α ) − cos( a ). cos(a .α )) With δ(ι)b the half top base cone an...
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