Preview

Architecture, Construction, Transport

Advanced search

Development of an optimal design methodology of a composite plate under vibration

Abstract

In the theory of optimal design, problems are considered in which it is necessary to determine the working conditions of structures, the internal properties of the material of structures, shapes and sizes that take the maximum or minimum values of the selected design characteristic.

This paper deals with structures formed from spatial fiber composites. Three stages of optimization are given. The target function, control function, and limitations are selected. Several options for boundary conditions are considered. The differential equation of vibrations of an orthotropic plate in displacements is obtained.

About the Authors

O. L. Umanskaya
Industrial University of Tyumen
Russian Federation

Olga L. Umanskaya, Candidate of Engineering, Associate Professor at the Department of Applied Mechanics

Tyumen



N. A. Krivchun
Industrial University of Tyumen
Russian Federation

Natalia A. Krivchun, Candidate of Engineering, Associate Professor at the Department of Applied Mechanics

Tyumen



References

1. Pul'pinskiy, Ya. S. (2006). Matematicheskoe modelirovanie obolochek vrashcheniya slozhnykh form. Diss. … kand. tekhn. nauk. Penza, 140 p. (In Russian).

2. Khol'kin, S. A. (2002). Reshenie konstruktivno nelineynykh zadach stroitel'noy mekhaniki adaptatsionnymi metodami. Diss. … kand. tekhn. nauk. Penza, 144 p. (In Russian).

3. Novozhilov, V. V. (1985). Teoriya uprugosti. Leningrad, Sudpromgiz Publ., 370 p. (In Russian).

4. Batyrev K. G. (2002). Variant otsenki predelov primenimosti tekhnicheskoy teorii ani-zotropnykh plastin. Diss. … kand. ph.-m. nauk. Tula, 121 p. (In Russian).

5. Lekhnitskiy, S. G. (1977). Teoriya uprugosti anizotropnogo tela. Moskow, Gostekhizdat Publ., 415 p. (In Russian).

6. Rabinovich, A. L. (1946). Ob uprugikh postoyannykh i prochnosti anizotropnykh materialov. Moskow, Byuro novoy tekhniki Publ., 55 p. (In Russian).

7. Lur'e, A. I. (1955). Prostranstvennye zadachi teorii uprugosti. Moskow, Gostekhizdat Publ., 491 p. (In Russian).

8. Gol'denveyzer, A. L. (1976). Teoriya uprugikh tonkikh obolochek. Moskow, Nauka Publ., 512 p. (In Russian).

9. Vasidzu, K. (1987). Variatsionnye metody v teorii uprugosti i plastichnosti. Moskow, Mir Publ., 542 p. (In Russian).

10. Kanovich, M. Z., & Trofimov, N. N. (2004). Soprotivlenie kompozitsionnykh materialov. Moskow, Mir Publ., 504 p. (In Russian).


Review

For citations:


Umanskaya O.L., Krivchun N.A. Development of an optimal design methodology of a composite plate under vibration. Architecture, Construction, Transport. 2021;(1):30-36. (In Russ.)

Views: 27


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2782-232X (Print)
ISSN 2713-0770 (Online)