Abstract: In this paper, to counter a flexible beam undergoing large overall motion imA refined plate theory for transversely isotropic materials is derived by using Elliott-Lodge solutions and Lur'e operator method. The two possibilities s₁²≠s₂² and s₁²=s₂² are both considered.

Key words: transversely isotropic plate, refined theory of plates, general solution, elasticity

摘要： 利用Elliott-Lodge解和Lur'e算子方导出了横观各向同性板的精化理论，并考虑了本征根s₁²≠s₂²和s₁²=s₂²的2种情形。

关键词: 横观各向同性板, 板的精化理论, 通解, 弹性力学