25gear_dsgn_anim

25gear_dsgn_anim - gear automation and design revised...

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gear automation and design revised Backlash_lookup 6 0.015 = Backlash_lookup 12 0.009 = Backlash_lookup 18 0.007 = Backlash_lookup 8 0.010 = Backlash_lookup 14 0.009 = Backlash_lookup 20 0.006 = Backlash_lookup 10 0.010 = Backlash_lookup 16 0.008 = Table page 68 Lynwander, Gear Drive Sysytems for backlash at various diametral values numerical example . .. DP 10 = diametral_pitch middle of course range 2 . ... 16 per Shigley Table 9.3 I 1 20deg = pressure_angle_at_pitch_radius addendum 1 DP = Table 9.2 Sigley for pressure angles 20, 22.5 and 25 N P 20 = number_of_pinion_teeth dedendum 1.25 DP = N G 30 = number_of_gear_teeth ************************************ end of input ************************************************************************* C N P N G . 2DP ¡ = R N G N P = C 2.5 center_distance R G N G DP 1 2 ¡ = R P N P DP 1 2 ¡ = R G 1.5 R P 1 BL Backlash_lookup DP = BL 0.01 CP S 2 ¡ R P ¡ N P = CP 0.314 T P1 T G1 = CP 2 BL 2 0 = S DP 2 ¡ BL 2 0 = allocate 1/2 backlash to each P & G T P1 S DP 2 ¡ BL 2 0 = T P1 0.152 T G1 T P1 = T G1 0.152 2T P1 ¡ 0.304 R root_P R P dedendum 0 = R root_P 0.875 root_radius_pinion dedendum 0.125 R root_G R G dedendum 0 = R root_G 1.375 root_radius_gear R add_P R P addendum . = R add_P 1.1 addendum_radius_pinion addendum 0.1 R add_G R G addendum . = R add_G 1.6 addendum_radius_gear inv I +, tan I I 0 = involute_function CTT 1 T P1 = circular_tooth_thickness_at_pitch_radius T 1 inv I 1 = involute_angle_at_pitch_radius T 1 0.854 deg 1 12/8/2006
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geometry to determine points on involute between root and addendum R 2 , B figure 2.10 page 31 Lynwander reversed and rotated - values at pitch radius R B R 1 CTT1 A T4 figure 2.10 page 31 Lynwander reversed and rotated R B R 1 A T4 B( I5, T5 R 2 A T 1 1 2 CTT 1 R 1 ¡ . = here consider varying I from 0 to a value > design angle = I 2 CTT 1 circular_tooth_thickness = T 2 involute_of_ I 2 = I pressure_angle_design = B I 2 +, A T 2 0 = T 1 involute_of_design_pressure_angle = R 2 R B cos I 2 = R 1 pitch_radius = R B cos I = Pinion geometry D 0 0.01 / 2 S ¡ 11 = D circular_range_variable = R B_P R P cos I 1 ¡ = base_radius_pinion R B_P 0.94 R root_P 0.875 want to go from base to addendum radius in say 20 points R root_P R B_P " 0 I _add_P acos R B_P R add_P § ¨ © · ¸ ¹ = I _add_P 31.321 deg N1 20 = N1 number_of_points_along_involute = let's put base radius to addendum in 1:n1+1 i
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25gear_dsgn_anim - gear automation and design revised...

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