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王建国, 蒋南, 于传君. 弹性基础上对称叠层厚板的基本解[J]. 力学学报, 1998, 30(1): 89-95. DOI: 10.6052/0459-1879-1998-1-1995-102
引用本文: 王建国, 蒋南, 于传君. 弹性基础上对称叠层厚板的基本解[J]. 力学学报, 1998, 30(1): 89-95. DOI: 10.6052/0459-1879-1998-1-1995-102
FUNDAMENTAL SOLUTIONS OF SYMMETRICAL LAMINATED THICK PLATES ON ELASTIC FOUNDATION 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(1): 89-95. DOI: 10.6052/0459-1879-1998-1-1995-102
Citation: FUNDAMENTAL SOLUTIONS OF SYMMETRICAL LAMINATED THICK PLATES ON ELASTIC FOUNDATION 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(1): 89-95. DOI: 10.6052/0459-1879-1998-1-1995-102

弹性基础上对称叠层厚板的基本解

FUNDAMENTAL SOLUTIONS OF SYMMETRICAL LAMINATED THICK PLATES ON ELASTIC FOUNDATION 1)

  • 摘要: 利用平面波分解法将弹性地基础上计入剪切变形的对称叠层厚板的偏微分方程组转化常微分方程组,然后利用H¨ormander算子法将常微分方程组转化为一个六阶的常微分方程,以定积分的形式提出了弹性基础上对称叠层厚板的基本解.

     

    Abstract: In this paper the governing partial differential equations of symmetrically laminated thick plates including transverse shear deformation are transferred into ordindary differential equations by the use of the method of a plane wave decomposition. Then the ordinary differential equations are transferred into a sixth-order ordinary differential equation. Fundamental solutions of symmentrically laminated thick plates including transverse shear deformation on elastic foundation are presented in the form of a d...

     

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