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Problems of Architecture and Construction

Abstract

Three-dimensional problem of bending and oscillations of orthotropic plates of variable thickness is considered in the paper. The problem is solved on the basis of the method of displacements expansion into an infinite series, which allows it to be reduced to solving a system of two-dimensional infinite recurrent equations.

First Page

175

Last Page

180

References

References: 1. Koreneva E.B. Analytical methods for calculating plates of variable thickness and their practical applications. Ed. Association of construction Universities. M. 2009. - 240 p. 2. Morgachev K.S., Dynamics of plates (Timoshenko model) constant and variable thickness. Diss. on competition of a scientific degree. Academic degree Cand. tech. sciences'. Samara, 2007. – p.113. 3. Abdukarimov R.A. Numerical study of nonlinear oscillations of a viscoelastic plate of variable stiffness. // Problems of architecture and construction. - 2010. - No. 1. - p.37-42. 4. Abdukarimov R.A. Mathematical model of nonlinear oscillation of a viscoelastic plate of variable stiffness under different boundary conditions.// Problems of architecture and construction. - 2010. - No. 1.- p. 44-47. 5. Usarov M.K. Bending of orthotropic plates taking into account bimoments. Saint Petersburg, Russia // magazine of civil Engineering. No. 1. (53). 2015-P.80-90. 6. Мakhamatali K. Usarov, Davronbek М. Usarov, Gayratjon T. Ayubov. Bending and Vibrations of a Thick Plate with Consideration of Bimoments // Journal of Applied Mathematics and Physics, 2016, 4, - Pp.1643-1651. 7. Usarov M.K. To the solution of three-dimensional problems of elasticity theory for thick plates of variable thickness. Problems of mechanics. – 2017. – No. 2-3. – p. 174-177. 8. Usarov M.K. To the solution of three-dimensional problems of oscillations in the theory of elasticity in thick plates of variable thickness // Journal of Applied Mathematics and Physics. – Vol. 5. –2017. No 10. – 2017.– P. 2044–2050. http://www.scirp.org/ journal/jamp. 9. Usarov D.M., Ayubov G.T. To the solution of three-dimensional problems of bending and vibrations of thick plates of variable thickness on an elastic base / / Higher school scientific and practical journal. – No. 18. – Ufa. - 2017, Pp. 44-48.

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