## R. Harmonic Analysis of a Radiating Piezoelectric or MagnetostrictiveStructure (HAR5)

Using the operator [G] described in HAR3, the system of equations is written:

The system of equations is symmetrized in the form:

The user provides the excitation frequency and usuallydefines the currents in the coils. The code computes the real and imaginaryparts of the entire pressure and displacement fields, the reduced magneticpotential and the electrical impedance.

The user must provide the excitation frequency and definethe prescribed excitations and/or loads (see section III.D, EXCITATIONS and LOADS entries). Thecode computes the real and imaginary parts of the entire pressure anddisplacement fields, the electrical potential F,the reduced magnetic potential f, thecurrents in magnetic sources I and theelectrical impedance of the structure from the electric charge q and the magnetic flux fbseen from the coils. The value provided for the impedance corresponds to thestructure actually modeled. If the model is reduced to a half or a quarter bysymmetry, the impedance value provided by the program must be divided by 2 or4. If the model is axisymmetrical, the impedance value must be divided by 2p.

The matrices are assembled and stored in a file by columns. Gaussian algorithms are used to solve the problem, in single or doubleprecision. The internal losses of materials can be taken into account. Theinformation given in HAR3 on damping elements,conditions of near field and far field on the boundary surface is still valid.