Steering principle C
A B
b
a
φ θ E
I
F
EI EF FI a FI cot AE AE b FI FI cot CF b a FI FI a cot cot b b b
Davis steering
G
E
F
α
H
α h
B
D A
C
AC - GH = 2c c tanα = h c+x tanα + φ = h c-x tanα - θ = h
φ θ
F
E
G
H
h
B
φ
A x
c h tan c x cx tan tan tan h 1 tan tan 1 c h tan h xh c h tan c x c 2 h tan cx h tan tanφ = 2 h + cx + c 2 c h tan tan tan cx tan 1 tan tan 1 c h tan h xh c h tan c x c 2 h tan cx h tan tanθ = 2 h - cx + c 2 tan
α
φ
α
Davis steering
D C
θ
x I
h 2 cx c 2 h 2 cx c 2 h 2 cx c 2 h 2 cx c 2 2cx 2c , cot cot cot cot cot xh xh xh xh xh h cotf - cotq = 2tana cot
For correct steering cotφ - cotθ =
a a a 2 tan tanα = b b 2b
Since tan α is a constant of design, this mechanism provides perfect steering