Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Romakina О. М. On the Steady Transverse Vibrations of a Rectangular Orthotropic Plate. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, vol. 10, iss. 1, pp. 71-77. DOI: 10.18500/1816-9791-2010-10-1-71-77

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
18.01.2010
Full text:
(downloads: 140)
Language: 
Russian
Heading: 
UDC: 
539.3

On the Steady Transverse Vibrations of a Rectangular Orthotropic Plate

Autors: 
Romakina О. М., Saratov State University
Abstract: 

The problem of the steady transverse vibrations of a rectangular orthotropic plate under the classical Kirchhoff theory assumptions is considered. Two-dimensional problem is reduced to one-dimensional via the modified spline-collocation method. One-dimensional problem is numerically solved with the stable discrete orthogonalization method. Numerical results for three resonance frequencies and plots for deformed middle-surface are presented for three types of boundary conditions on the edges.  

References: 
  1. Лехницкий С.Г. Анизотропные пластинки. М.: ГИТТЛ, 1957. 463 с.
  2. Недорезов П.Ф., Шевцова Ю.В., Ромакина О.М. Модифицированный метод сплайн-коллокации в задачах изгиба прямоугольных пластинок // Математическое моделирование и краевые задачи: Тр. Второй Всерос. науч. конф. Самара: Самар. гос. техн. ун-та, 2005. Ч.1. С. 203–209.
  3. Завьялов Ю.С., Квасов Ю.И., Мирошниченко В.Л. Методы сплайн-функций. М.: Наука, 1980. 352 с.
  4. Амбарцумян С.А. Теория анизотропных пластин. М.: Наука, 1967. 268 с.