О ПРОСТРАНСТВЕННЫХ ДИНАМИЧЕСКИХ ЗАДАЧАХ ПЛАСТИН И ОБОЛОЧЕК

Forced harmonic vibrations of orthotropic plates are investigated. Asimptotic solutions of space dynamic three classes of problems are found. Cases, when the solution of the outer (inner) problem becomes mathematically exact, are noted, the solution of the boundary layer is built. It is denoted that all the values, particularly, the normal displacement, strictly depend on the transverse coordinate, which casts doubt on the applicability of the hypotheses of classical theory of plates in dynamic problems, as by the hypotheses acceptance the character of the vibration process on the transverse coordinate distorts. [ABSTRACT FROM AUTHOR]