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Unformatted text preview: ar velocity must be avoided in order to reduce noise level and vibrations. The most difficult in TCA is to solve the system of non-linear equations that traduce contact between the two surfaces. When the position of contact point(s) is (are) known, it’s easy to determinate the real gear ratio and transmission error, the contact paths on the gear tooth surfaces, lengths and orientation of contact ellipses. During the meshing, surfaces Σ1 and Σ2 are tangential and it is well known the necessary and sufficient conditions for this situation are:
r f(1) (ϕ ,θ , φ1 ) = r f( 2 ) (α , γ ,φ2 ) (1) ( 2) n f (ϕ ,θ ,φ1 ) = n f (α , λ ,φ2 ) (1) (ϕ ,θ ) ∈ E ( 2) (α , γ ) ∈ E (φ1 ,φ2 ) ∈ E (3) r f(1) (ϕ , θ , φ1 ) = r f( 2) (α , γ , φ 2 ) (1) ( 2) N f (ϕ , θ , φ1 ) = c.N f (α , λ , φ 2 ) (ϕ , θ ) ∈ E (1) (7) (α , γ ) ∈ E ( 2) ( 3) (φ1 , φ 2 ) ∈ E c ∈ Real (6) E(i) is the domain of admissible values. with n (1) f ∂rf(1) ∂rf(1) × ∂θ = ∂u ∂rf(1) ∂rf(1) × ∂u ∂θ ( and n f 2) ∂rf( 2) ∂rf(...
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- Spring '10
- The Land