Recovery of transversely-isotropic elastic material parameters in induction motor rotors

TL;DR

This paper develops numerical algorithms to accurately recover elastic parameters of transversely isotropic materials in induction motor rotors using eigenvalue data, demonstrating high accuracy in noiseless and noisy conditions.

Contribution

The paper introduces new algorithms for parameter recovery in transversely isotropic elastic materials, specifically applied to induction motor rotors, with proven stability against noise.

Findings

Two pairs of bending modes suffice for 1-4 parameter recovery in noiseless data.

Three pairs of bending modes plus one torsional mode recover all five parameters accurately.

Parameters can be recovered with less than 10% error under 1% multiplicative noise.

Abstract

We propose numerical algorithms for recovering parameters in eigenvalue problems for linear elasticity of transversely isotropic materials. Specifically, the algorithms are used to recover the elastic constants of a rotor core. Numerical tests show that in the noiseless setup, two pairs of bending modes are sufficient for recovering one to four parameters accurately. To recover all five parameters that govern the elastic properties of electric engines accurately, we require three pairs of bending modes and one torsional mode. Moreover, we study the stability of the inversion method against multiplicative noise; for tests in which the data contained multiplicative noise of at most $1\%$, we find that all parameters can be recovered with an error less than $10\%$.