Review article

An iterative method for assessing the frequency spectrum of free vibrations of rectangular panels with different support conditions in combination with the parameter enumeration method is proposed. Two hyperbolo-trigonometric series on two coordinates with indeterminate coefficients containing the desired frequency of free vibrations as a parameter are taken as a basis. The obtained natural frequencies and waveforms are compared with the results provided by other authors, and are presented very fully in tabular form, the accuracy of calculations and methods are analyzed.