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R. Heuer:
"Piezoelectric Vibrations of Elastic Structures with Spatial Local Nonlinearities";
Talk: The Tenth International Conference on Computational Structures Technology, Valencia, Spain; 2010-09-14 - 2010-09-17.

The paper presents a semi-analytical procedure for analyzing the dynamic steadystate
response of those locally nonlinear structures under piezoelectric actuation,
where special emphasis is laid on systems with single nonlinear spring or/and
damping devices. The solution of the underlying boundary value problem is found
by means of a problem-oriented decomposition in frequency domain, which has
been adopted from methods for structures under multiple support excitations. The
main advantageous of this formulation is the fact, that by increasing the degrees of
freedom considered for the structure, the numerical effort for solving the coupled
system is extended only marginally since the nonlinearity stays "isolated". Example
problems are given for layered beam structures with time-variant imposed
piezoelectric curvature, where single supports are connected to nonlinear devices.