Stress distribution in a long solenoid - QuickField simulation example
A very long, thick solenoid has a uniform distribution of circumferential current. The magnetic flux density and stress distribution in the solenoid has to be calculated.
How to find magnetic stress in long solenoids?
Answer Typical applications Geometry
Given
Task
Solution
Results
Magnetic flux density and circumferential stress at R = 1.3 cm:
Reference:
Engineering question
Set up an axisymmetric QuickField Multiphysics problem for a long solenoid and evaluate magnetic stress from computed field results.
long solenoid windings, electromagnetic coils, actuator coil structures
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Simulation problem
Problem Type
Axisymmetric multiphysics problem of DC magnetics coupled to Stress analysis.
Current density j = 105 A/m²,
Young's modulus E = 1.075·1011 N/m²,
Poisson's ratio ν = 0.33.
Calculate the magnetic flux density and stress distribution in a solenoid.
Since none of physical quantities varies
along z-axis, a thin slice of the solenoid could be modeled. The axial length of the model is arbitrarily chosen to be 0.2 cm. Radial component of the flux density is set equal to zero at the outward surface of the solenoid. Axial displacement is set equal to zero at the side edges of the model to reflect the infinite length of the solenoid.
Magnetic flux density distribution and mechanical stress distribution in a long solenoid:
Bz (T)
σq (N/m)
Reference [1]
8.796·10-3
97.407
QuickField
8.798·10-3
96.71
[1] F.A. Moon, "Magneto-Solid Mechanics", John Wiley & Sons, N.Y., 1984, Chapter 4.
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