On The Theory Of Bending Of A Thick Orthotropic Plate Without Consideration Of Simplifying Hypothesis

Makhamatali Koraboyevich Usarov

Abstract


The problem of bending of a thick orthotropic plate is
considered as a three-dimensional problem of the theory of
elasticity. On the basic of the method of expansion of the
solution into the series, a three-dimensional problem is
reduced to two independent two –dimensional problems.
The theory of thick orthotropic plates free from simplified
hypothesis is developed: An analytical solution of equation
is given. Maximum values of displacements and stresses
for upper, middle and lower surfaces of the plate are calculated.


Keywords


Orthotropic Plate, Theory of Elasticity, Theory of Bending

Full Text:

PDF

References


Ambartsumyan S.A. Theory of Anisotropic Plates: Strength,

Stability and Vibrations.– 2-nd edition– Moscow: Nauka.

Phys.-Math. Literature editorial, 1987.–360 p.

Baida E.N. Some Spatial Problems of the Theory of Elasticity.

–Leningrad University Publishers, 1983. 232p.

Vlasov B.F. On One Case of Bending of Rectangular Thick

Plate//Moscow State University, Mechanics, Mathematics,

Astronomy and Chemistry. 1957г., № 2. P.25-34.

Bekua I.N. Some General Methods of Building of Different

Versions of the Theory of Shells. –Moscow: Nauka. Phys. Math

Literature Editorial. 1982. -288 p.

Vlasov V.Z. Selected Works. Vol.I. Moscow, Academy of

Sciences of the USSR. – 529p.

Galerlin B.G. Elastic Rectangular and Triangular FreeSupported

Thick Plates, Subjected to Bending.

Reports of the Academy

of Sciences of the USSR, series А.С. 273-280.1931.

Kosmodamianskiy A.S., Shaldyrvan V.A. Thick Multiconnected Plates. Kiev: Naukova Dumka,

– 240 p.

Lurie A.I. Spatial Problems of the Theory of Elasticity. Moscow, State Techn. Publishers. 1955 .-492p.

Summaries of Science and Technology. Mechanics of

Deformable Rigid Bodies. Vol.13.Moscow. VINITI. 1980. -300p.

Usarov M.K. Solution of Spatial Problem of the Theory of

Elasticity for Thick Plates. //Problems of Mechanics. Tashkent.

FAN. 2005. №4, p.25-34.

Usarov M.K. On the Theory of Bending of Thick Orthotropic

Plates without Consideration of Simplifying

Hypothesis.//Problems of Mechanics. Tashkent. FAN. 2005.

№5-6, p.28-32.

www.journals.cz




DOI: http://dx.doi.org/10.12955/snsj.v3i0.286

Refbacks

  • There are currently no refbacks.


Online ISSN 1804-9710

(c) 2018 CBU, o.p.s.