Parallel connection of leg springs, torsion springs, torsion springs - the double leg spring
The parallel connection of the leg spring, torsion spring, torsion spring
When leg springs, torsion springs, torsion springs are connected in parallel, the leg springs are connected next to each other.
If the legs connected in parallel experience If leg springs have a torque M (M1, M2, M3 ... MX) in Newton millimeters (Nmm) and a rotation angle Alpha (Alpha1, Alpha1, Alpha3 ... AlphaX) in ground mass (rad) or angle degrees (°), then the same rotation winding Alpha = Alpha1 = Alpha2 = Alpha3 = ... AlphaX acts on the leg springs connected in parallel.
However, the introduced torque M in (Nmm) is divided between the individual leg springs, depending on the stiffness of the individual leg springs, as M = M1 + M2 + M3 + ... MX.
Torque M in (Nmm) when the leg springs are connected in parallel M = M1 + M2 + M3 + ... MXwith Alpha = Alpha1 = Alpha2 = Alpha3 = ... AlphaX and Alpha = M/CM Angle of rotation in (rad) or (°) when connected in parallel Alpha = Alpha1 = Alpha2 = Alpha3 = ... AlphaX Torsion spring rate / Torsional spring stiffness CM in (Nmm/rad) or (Nmm/°) when connected in parallel M = CM*Alpha = CM1*Alpha1 + CM2*Alpha2 + CM3*Alpha3 + ... + CMX*AlphaXAlpha = Alpha1 = Alpha2 = Alpha3 = ... AlphaX and M = CM*Alpha or CM = CM1 + CM2 + CM3 + ... + CMX M in (Nmm); CM in (Nmm/rad) or in (Nmm/°); Alpha in (rad) radians or (°) degrees of angle
The double leg spring - a prominent representative and a special case of the parallel connection of leg spring, torsion spring, torsion spring
The double leg spring is a special case of the parallel connection of leg spring, torsion spring, torsion spring.
The double leg spring is two individual leg springs connected in parallel with the same stiffness or spring rate. Both spring bodies of the double leg spring are structurally identical, this means that the number of turns n and the turn diameter Dm of both individual leg springs are the same size (ns = n1 = n2) and (Dms = Dm1 = Dm2). The torque Md (Nmm) acting on the double leg spring and the angle of rotation Alphad (rad) or (°) act on both individual leg springs.
This results in the following relationship:
Torque Md in (Nmm): Md = M1 + M2; Torsion Alphad in (rad) or (°): Alphad = Alpha1 = Alpha2 = Alphas
Torque Md in (Nmm) for the double leg spring Md = M1 + M2with Alphad = Alpha1 = Alpha2 and Alphad = Md/CMd Torsion angle Alphad in (rad) or (°) for the double leg spring Alphad = Alpha1 = Alpha2 Torsion spring rate / torsion spring stiffness CMd in (Nmm/rad) or (Nmm/°) for the double leg spring Md = CMd*Alphad = CM1*Alpha1 + CM2*Alpha2Alphad = Alpha1 = Alpha2 = Alphas and Md = CMd*Alphad or CMd = CM1 + CM2 Md in (Nmm); CMd in (Nmm/rad) or in (Nmm/°); Alphad in (rad) radiansss or (°) angle degree
Md = CM*Alpha = CM1*Alphas + CM2*Alphaswith Alphad = Alpha1 = Alpha2 or Alphas = Alpha1 = Alpha2 and Alphad = Md/CMd CMd = CM1 + CM2with CM1 = CM2 = CMs results CMd = 2*CMs Md = 2*CMs*Alphas Md = CMd*Alphadwith CMd = 2*CMs and Alphad = Alpha Ms = (1/2) *CMd*Alphawith CMs = CMd/2 and Alphas = Alphad = Alpha Ms = CMs*Alphawith CMs = CMd/2 and Alphas = Alphad = Alpha Md in (Nmm) torque of the double leg spring
CMd in (Nmm/rad) or in (Nmm/°) stiffness or spring rate of the double leg spring
Alphad in (rad) radian measure or (°) angular degree of twist angle of the double leg spring
Ms in (Nmm) torque of the individual leg spring
CMs in (Nmm/rad) or in (Nmm/°) stiffness or spring rate of the individual leg spring
Alphas in (rad) radians or (°) angle of rotation of the individual leg spring From this it can be deduced that the double leg spring has twice the stiffness or spring rate compared to the two individual leg springs.
The angle of rotation Alphad is the same for the double leg spring and both individual leg springs.
The torque on the double leg spring is divided equally between both individual leg springs.
Spring formulas for a single leg spring:
Torque M in (Nmm): M (Nmm) = CM * Alpha CM in (Nmm/rad); Alpha in (rad)
Rotation angle Alpha in (rad) radians: Alpha (rad) = M / Alpha M in ( Nmm); Alpha in (rad)
Torsional spring stiffness / torsion spring rate / spring rate / stiffness CM in (Nmm/rad): CM (Nmm/rad) = M / Alpha M in (Nmm); Alpha in (rad)