Метод Рітца в задачі про вільні коливання тонких пружних оболонок, Ritz method in the problem of free vibrations of thin elastic shells

<jats:p>UDC 539.385:534.13, 517.97 Based on the variational formulation of the problem of free vibrations of an arbitrary elastic thin-walled shell, we construct differential operators without restrictions imposed on their shape, which are valid both for the technical and general linear theories of shells. As a special case, we demonstrate the principles of construction of solutions to the problem posed for the shells of revolution by using the obtained differential operators.</jats:p>