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范家让, 盛宏玉. 具有固支边的强厚度叠层板的精确解[J]. 力学学报, 1992, 24(5): 574-583. DOI: 10.6052/0459-1879-1992-5-1995-777
引用本文: 范家让, 盛宏玉. 具有固支边的强厚度叠层板的精确解[J]. 力学学报, 1992, 24(5): 574-583. DOI: 10.6052/0459-1879-1992-5-1995-777
EXACT SOLUTION FOR THICK LAMINATE WITH CLAMPED EDGES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(5): 574-583. DOI: 10.6052/0459-1879-1992-5-1995-777
Citation: EXACT SOLUTION FOR THICK LAMINATE WITH CLAMPED EDGES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(5): 574-583. DOI: 10.6052/0459-1879-1992-5-1995-777

具有固支边的强厚度叠层板的精确解

EXACT SOLUTION FOR THICK LAMINATE WITH CLAMPED EDGES

  • 摘要: 抛弃任何有关位移或应力模式的人为假设,在文献1、2的基础上,引入δ-函数,对具有固支边的强厚度叠层矩形板在任意荷载作用下建立其状态方程。给出静力、动力和稳定问题的精确解,其解满足弹性力学所有方程,并计及了所有弹性常数。

     

    Abstract: Giving up any assumptions about displacement models and stress distribution, based on the Refs. 1 and 2 and introducing 6-function, the state equation is established for thick laminate with clamped edges under any given loads. The exact solutions are presented for the statics, dynamics and buckling. All equations of elasticity can be satisfied, and all elastic constants can be taken into account.

     

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