Dynamical Absorbtion and Resonances in the Sandwich Double Plate System Vibration with Elastic Layer
Katica (Stevanović) Hedrih,
Julijana Simonović,
As an introduction, a review of the first author’s research results in the area of transversal vibrations of double plate systems is presented (see [2-7]).
Recent technological innovations have caused a considerable interest in the study of component and hybrid dynamical processes of coupled rigid and deformable bodies (plates, beams and belts) denoted as hybrid systems, characterized by the interaction between subsystem dynamics, governed by coupled partial differential equations with boundary and initial conditions.
The main result of this contribution is an analytical solution of the coupled nonhomogeneous partial differential equations of forced vibrations of the double circular plate system coupled by viscoelastic layers [1]. This solution is obtained using the method of Bernoulli particular integral as well as Lagrange’s method of variation constants. Some numerical examples are presented as well as visualizations of double-plate forced vibrations. An analysis of the vibration of regimes is presented which spatial phenomena such as dynamical absorbtion and resonance in the corresponding eigen amplitude mode are pointed out.
The obtained analytical and numerical results are very valuable for university teaching processes in the area of structural system elastodynamics and hybrid deformable body system vibrations.
Key words: coupled system, dynamic system, hybrid system, sandwich system, plate, sandwich plate, dynamic behavior, Lagrange method, numerical results.