扭矩弹簧计算

Design of Helical Torsion Spring Version 1.0

Source:DIN 2088 Design of Cold Formed Helical Torsion Spring Author:Bu, Lingshan

Approvement of content:-Release for use:-Remark:Spring Material: VDSiCr

Input data

M A =torque at A [Nmm]M B =torque at B [Nmm]αA =leg angle at A2[o]αB =leg angle at A1[o]α0=leg angle without load [o]L 0=length of unloaded spring [mm]L S1=leg length 1[mm]L S2=leg length 2[mm]Trial value

d =wir

e diameter [mm]C =spring index

E =elastic modulus of spring 200000[N/mm 2]σb =Ultimate tensile strength 2080[N/mm 2]σ=maximum permissible bending stress 1456[N/mm 2]σmax =maximum bending stress under test 1664[N/mm 2]Preliminary results

K =stress correction factor -0.09

n =number of effective coils #DIV/0!

Verification

d'=wire diameter under σ0[mm]

d and d' should hav

e small deviation!

Results

D =mean diameter of coil (without load)0.00[mm]D i =inner diameter 0.00[mm]D a =outer diameter 0.00[mm]p =spring pitch #DIV/0![mm]R MR =torsional spring rate #DIV/0![Nmm/o]n =number of effective coils adjusted #DIV/0!

M max =maximum torque 0.00[Nmm]αmax =leg angle at maximum torque #DIV/0![o]r =check pin radius 1.00[mm]A D =limit deviation of D #DIV/0![mm]D h =outer connecting diameter (bushing)#DIV/0![mm]75.007.0-+=C C K )

(3667)

(4

B A B A M M D E d n -??-??≈αα

D d

=inner connecting diameter (mandril)#DIV/0![mm]d C

D =B A B A

MR M M R αα--=Q

d D A D ??±=17.0025.0()??????????????-????????????-+?-=d n n A D D D i d 360

95.0m ax

0αα()??????????????+?????????

?-+?+=d n n A D D D

a h 36005.1m ax 0ααK d M ???=32m ax 3m ax σπ