Applications of randomly selected sets of exact Voight's solutions for vibration of thin plates

The principally new method of selected exact solutions, SES, for plate vibration based on fundamental solutions Voigt is suggested. In contrast to similar known methods, it employs the frequency dependent functions both space coordinates. sets which depends some arbitrary chosen parameters are constructed. This allows choose any number while required them boundary conditions should satisfy in considered collocation points. 
 efficiency demonstrated most unfavorable case all sides clamped rectangular plate. Nevertheless, accuracy quite satisfactory first six natural frequencies even relatively small points, and testify about big prospects as application complex structures, different geometries, various conditions. Additionally two variants Galerkin realized compared. First one, exponential functions, second one –the very popular beam functions. calculation results show superiority variant technical realization accuracy, further applications structural mechanics.