Bobbin deformation caused by winding force of wiring - QuickField simulation example
This example is provided by Ing. Volker Scherb.
How to find bobbin deformation due to winding tension?
Engineering answer Typical applications Geometry
Given
Task Solution
Let's consider the winding process. Winding force leads to a wire elongation. After the force is removed the wire shrinks back and squeezes the bobbin. Relative elongation of the wire according to the Hooke's law is
dL/L0 = f / (E·Sw), where
Relative elongation of the wire according to the thermal expansion law is
dL/L0 = α·dT, where
Hence the temperature difference (that would cause the same wire elongation as by mechanical winding force):
dT = 1/α · f/(E·Sw)
We apply this temperature difference to the loose wire to simulate the wire shrink pressure.
Result
Engineering question
Set up an axisymmetric QuickField Stress Analysis problem for a wiring bobbin and evaluate deformation due to winding tension from computed field results.
coil bobbins, winding formers, electromagnetic coil supports
Download
Simulation problem
Problem Type
Axisymmetric problem of stress analysis.
Winding force, f = 50 N
Bobbin Young's modulus E = 5 GPa
Calculate the bobbin deformation caused by the winding force.
The similar effect may be achieved by cooling down the loose wiring. To simulate wire shrink it is convenient to use temperature-based elongation effect.
E - Young modulus, Pa;
f - Force, N;
Sw - cross section of the wire, m²;
L0 - initial length of the wire, m.
α - coefficient of the thermal expansion, 1/K;
dT - temperature difference, K.
Calculation of the bobbin deformation in QuickField
Video
Related examples