2011Social and Natural Sciences JournalOpen access

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

Makhamatali Koraboyevich Usarov

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Abstract

The problem of bending of a thick orthotropic plate is considered as a three-dimensional problem of the theory ofelasticity. On the basic of the method of expansion of thesolution into the series, a three-dimensional problem isreduced to two independent two –dimensional problems.The theory of thick orthotropic plates free from simplifiedhypothesis is developed: An analytical solution of equationis given. Maximum values of displacements and stressesfor upper, middle and lower surfaces of the plate are calculated.

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The problem of bending of a thick orthotropic plate is considered as a three-dimensional problem of the theory ofelasticity. On the basic of the method of expansion of thesolution into the series, a three-dimensional problem isreduced to two independent two –dimensional problems.The theory of thick orthotropic plates free from simplifiedhypothesis is developed: An analytical solution of equationis given. Maximum values of displacements and stressesfor upper, middle and lower surfaces of the plate are calculated.

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Available abstract

The problem of bending of a thick orthotropic plate is considered as a three-dimensional problem of the theory ofelasticity. On the basic of the method of expansion of thesolution into the series, a three-dimensional problem isreduced to two independent two –dimensional problems.The theory of thick orthotropic plates free from simplifiedhypothesis is developed: An analytical solution of equationis given. Maximum values of displacements and stressesfor upper, middle and lower surfaces of the plate are calculated.

Key concepts: Orthotropic material, Plate theory, Bending of plates, Bending, Series (stratigraphy), Mathematical analysis, Mathematics, Geometry

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