To the Solution of Three-Dimensional Problems of Oscillations in the Theory of Elasticity in Thick Plates of Variable Thickness  

To the Solution of Three-Dimensional Problems of Oscillations in the Theory of Elasticity in Thick Plates of Variable Thickness

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作  者:Мakhamatali К. Usarov 

机构地区:[1]Institute of Mechanics and Seismic Stability of Structures, the Academy of Sciences, Tashkent, Uzbekistan

出  处:《Journal of Applied Mathematics and Physics》2017年第10期2044-2050,共7页应用数学与应用物理(英文)

摘  要:A technique for solving the three-dimensional problem of bending in the theory of elasticity in orthotropic plates of variable thickness is developed in the paper. On the basis of the method of expansion of displacements into an infinite series, the problem has been reduced to the solutions of two independent problems, which are described by two independent systems of two-dimensional infinite equations.A technique for solving the three-dimensional problem of bending in the theory of elasticity in orthotropic plates of variable thickness is developed in the paper. On the basis of the method of expansion of displacements into an infinite series, the problem has been reduced to the solutions of two independent problems, which are described by two independent systems of two-dimensional infinite equations.

关 键 词:Plate ORTHOTROPY INFINITE Series Equation of Motion BOUNDARY Conditions BENDING and OSCILLATIONS 

分 类 号:O1[理学—数学]

 

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