A Method for Calculating Surface Mechanical Stresses in Axisymmetric Magnetic Systems

A method is proposed for calculating the mechanical stresses of magnetic and current systems calculated from the energy density of a uniformly magnetized cylinder. Volume-average demagnetizing factor of the cylinder is introduced for the calculation, which is proportional to the ratio of cylinder diameter 2 a to its length h . It is shown that demagnetization energy E p , which is negligible for a “long” cylinder with 2 a / h ≪ 1 ( ≈ 0), becomes decisive in the formation of stresses at ≤ 0.5. Radial σ r and axial σ z stresses are investigated in a wide range of variation of the ratio 2 a / h .