## C. Static Analysis of a Piezoelectric Structure Subjected to a Force (STA2)

In this analysis, the system of equations is reduced to:

The user supplies the loading data F. The code computes the displacement field U and the electrical potential F. F must beaccurately defined for the finite-element model. This means that it must bedivided by 2p if the model is axisymmetrical, and by2 if a symmetry plane limits the mesh. It is essential that the boundaryconditions eliminate the rigid body modes and ensure the uniqueness of theelectrical potential (at least one electrical potential degree-of-freedom mustbe set to zero). Only one loading case can be solved at a time. Takinginternal losses into account does not make physical sense in this analysis andthus is not possible. Magnetostrictive structures may also be treated by thisanalysis.

The applied forces can be concentrated at the nodes (see LOADS entry) or distributed by using interface elements andby prescribing the pressure with the EXCITATIONS command. The matrices are assembled and stored in a file by columns. Gaussianalgorithms are used to solve the problem, in single or double precision. It isalso possible to apply the forces (STA2) and prescribedisplacements and/or electrical potentials (STA4) atthe same time.