Mathematical modeling of a dynamic thin plate deformation in acoustoelasticity problems

3rd International Conference Environment and Sustainable Development of Territories: Ecological Challenges of the 21st Century

生态环境科学;地球科学;经济学

Badriev, I.B.^1 ; Paimuhin, V.N.^1,2

Institute of Computational Mathematics and Information Technologies, Kazan Federal University, Kremlyovskaya str., 18, Kazan

420008, Russia^1

Institute of Aviation, Land Vehicles and Energetics, Kazan National Research Technical University, 10 K.Marks str., Kazan

420111, Russia^2

关键词: Acoustic environment;    Acoustic loading;    Composite plates;    Coupled problems;    Exact analytic solutions;    Logarithmic decrement;    Mechanical behavior;    Plate vibration;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/107/1/012095/pdf
DOI  :  10.1088/1755-1315/107/1/012095

学科分类：环境科学（综合）

来源: IOP

【 摘 要 】

The coupled problem of planar acoustic wave propagation through a composite plate covered with a second damping layer with a large logarithmic decrement of oscillations is formulated. The aerohydrodynamic interaction of a plate with external acoustic environment is described by three-dimensional wave equations and the mechanical behavior of a two-layer plate by the classical Kirchhoff-Love model. An exact analytic solution of the problem is found for the case of hinged support of the edges of a plate. On the basis of this, the parameters of the covering damping layer were found, under which it is possible to achieve a practically complete damping of the plate vibration under resonant modes of its acoustic loading.