The inverse coefficient problem for calculation of the variable stiffness of a circular elastic plate, which undergoes steady oscillations induced by a uniformly distributed load, is considered. The flexural stiffness of a plate is considered as a function of the radial coordinate. The information of the plate deflection on a fixed frequency serves as an input data. The Ritz method is used to address the direct problem of vibrations of inhomogeneous plates. The results obtained by this method are compared with the known analytical solutions for homogeneous plate, and with the results obtained in the solution of the corresponding boundary value problem by the shooting method. The Galerkin method is used for solution of the inverse problem. The results of computational experiments for various laws for variation of stiffness are presented.
Author(s):
Anikina Tatyana AlexandrovnaPosition: Lecture
Office: Don State Technical University
Address: 344041, Russia, Rostov
E-mail: atanusha@mail.ru
Vatulyan Alexander OvanesovichDr. , Professor
Position: Head of Chair
Office: Institute of Mathematics, Mechanics and Computer Sciences Southern Federal University
Address: 344090, Russia, Rostov, Milchakov Street, 8-a
Phone Office: (863) 2975114
E-mail: vatulyan@math.rsu.ru
Uglich Pavel SergeyevichPhD.
Position: Senior Research Scientist
Office: Southern Mathematical Institute of Russian Academy of Science
Address: 344092, Russia, Rostov, Milchakov Street, 8-a
E-mail: puglich@inbox.ru
