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首页> 外文期刊>Acta Mechanica >Exact solution for axisymmetric deformation of laminated transversely isotropic annular plates
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Exact solution for axisymmetric deformation of laminated transversely isotropic annular plates

机译:层状横观各向同性环形板轴对称变形的精确解

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摘要

Based on the three-dimensional theory of elasticity, this paper presents the state space equation for axisymmetric deformation of a laminated transversely isotropic annular plate. The Finite Hankel transform is then introduced and applied to the state space equation. Four exact solutions corresponding to four specified boundary conditions are obtained and expressions for displacements and stresses are presented. Numerical results are finally compared with those obtained by the classical plate theory, the Reissner plate theory and the finite element method. [References: 15]
机译:基于三维弹性理论,提出了一种层状横观各向同性环形板轴对称变形的状态空间方程。然后引入有限Hankel变换并将其应用于状态空间方程。获得了对应于四个指定边界条件的四个精确解,并给出了位移和应力的表达式。最后将数值结果与经典板理论,Reissner板理论和有限元方法获得的结果进行比较。 [参考:15]

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