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Unformatted text preview: gle ; a(i) = sin(δ(i)b) ; b(i) = cos(δ(i)b) ; R is the sphere radius and α is the parameter of lead line. Therefore, form deviations (waves : w(2)(α,γ)) are added on the active surfaces of wheel. A form deviations (waves : w(1)(ϕ,θ)) and a longitudinal crowning (η(θ)) are added on active surfaces of pinion. Indeed, formulas of finale surfaces are: ( ( r71) (ϕ , θ ) = X (1) (ϕ , θ ) + w(1) (ϕ , θ ) + η (θ ) n 71) ( 2) ( r8 (α , γ ) = X ( 2) (α , γ ) + w( 2) (α , γ )n 82) [ (5) For example : w (1) (ϕ , θ ) = A( i ) cos((ϕ + B (1)θ )C (1) ) and η (θ ) = D + E * θ + F * θ 2 2.2. Geometrical behavior description The mathematical formulation of tolerance analysis is based on the expression of the geometrical behavior of the mechanism; various equations and inequations modeling the geometrical behavior of the mechanism are defined: the equations between displacements of surfaces of parts, Composition relations of displacements in the various topological loops express the geometrical behavior o...
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This note was uploaded on 08/03/2010 for the course DD 1234 taught by Professor Zczxc during the Spring '10 term at Magnolia Bible.

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