## O. Harmonic Analysis of an In-Vacuum Piezoelectric or Magnetostrictive Structure(HAR2)

In this analysis, known harmonic loads and/or excitations are applied on the piezoelectric and/or magnetostrictive structure. The system of equations becomes:

The code computes the displacement field U, the electrical potential F, the reduced magnetic potential f, the magnetic source currents I, the electrical impedance of the structure fromthe electric charge q, and the magnetic flux fb seen from the coils. The valueprovided for the impedance actually corresponds to the modeled structure. Ifthe model is reduced by half or by a quarter by symmetry, the impedance valueprovided by the program must be divided by 2 or 4. If the model isaxisymmetrical, the impedance value must be divided by 2p. The user controls the frequency scan.

The matrices are assembled and stored in a file by columns. Gaussian algorithms are used to solve the problem, in single or double precision. The internal losses in the materials can be taken into account.