Approximate method of solving the problem of characteristic oscillations of a liquid in cavities of revolution

Transversal oscillations of a fluid in a long cylindrical container with membrane or elastic plate on the free surface

“…An algebraic system for the constants a k and c i is obtained by the projection method under the boundary conditions for the function ϕ on the wettable surface of the vessel and on the free surface of the fluid. The computed frequencies and forms of natural oscillations of a fluid in certain vessels of revolution presented in [19] show that the representation of the wave function ϕ in the form of expansion (3.10) enables one to compute higher forms of oscillations of the fluid.…”

“…Methods aimed at the solution of boundary-value problems that describe oscillations of a fluid in vessels with regard for higher forms of oscillations of the fluid were developed in [18][19][20][21].…”