Passive control of plate vibrations: dimensional optimization of constrained layers by using kriging surrogate

Resumo

Plate structures are slender and flexible structures and can be subject to vibrations. Vibrations can cause
problems such as acoustic discomfort, mechanical fatigue failure, and/or reduced performance. Thus, it is
necessary to use forms of control that aim to reduce and avoid vibration. One method is the passive vibration
control using constrained layers (CL). This method stands out due to easily and simplicity of application. In this
control form, the vibrating structure receives a layer of viscoelastic material (VEM) and a material layer, usually
metallic. For efficient vibration control, it is necessary to determine the optimal parameters of the CL. Thus, this
work aims to present a methodology for optimizing the vibration control of a plate using CL and Kriging's
surrogate. Considering the width and length of the VEM fixed, the design variables of this problem are the
thickness of the constrained layer (VEM) and constraining layer (metallic layer). The CL kept dimension and
shape fixed during the optimization process. The objective function evaluated is the Euclidean norm of a
component of the matrix function of inertance. As a result, we obtained optimal thicknesses of VEM and restrictor
layers for effective control of the second and third vibration modes.