Affiliations: Federal University of Uberlândia, School of
Mechanical Engineering, Brazil | Federal University of Goiás, Department of
Mathematics Campus Santa Mônica, P.O. Box 593, CEP 38400-902,
Uberlândia, MG, Brazil
Abstract: In the context of control of sound and vibration of mechanical
systems, the use of viscoelastic materials has been regarded as a convenient
strategy in many types of industrial applications. Numerical models based on
finite element discretization have been frequently used in the analysis and
design of complex structural systems incorporating viscoelastic materials. Such
models must account for the typical dependence of the viscoelastic
characteristics on operational and environmental parameters, such as frequency
and temperature. In many applications, including optimal design and model
updating, sensitivity analysis based on numerical models is a very usefull
tool. In this paper, the formulation of first-order sensitivity analysis of
complex frequency response functions is developed for plates treated with
passive constraining damping layers, considering geometrical characteristics,
such as the thicknesses of the multi-layer components, as design variables.
Also, the sensitivity of the frequency response functions with respect to
temperature is introduced. As an example, response derivatives are calculated
for a three-layer sandwich plate and the results obtained are compared with
first-order finite-difference approximations.
