Natural oscillations of a rectangular acoustic volume with elastic walls
L.M. Yufereva, Yu. A. Lavrov · 2006
The two-dimensional problem on search of frequencies and pulse forms of natural oscillations of rectangular volume of compressible irrotational fluid bounded by four thin elastic plates is considered. The acoustic pressure in fluid satisfy the Helmholtz equation. The bending vibrations of elastic walls with clamped edges are described by the Kirchhoff equation. The expression for fields of free acoustic oscillations in fluid and vibrations of plates is constructed. Dependence of natural frequencies on geometric sizes of the resonator is investigated. The approximate formula for the lowest natural frequencies is constructed and numerically tested for case of small thicknesses of elastic walls.