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含固支边矩形叠层厚板的状态空间新解法

胡文锋 刘一华

胡文锋, 刘一华. 含固支边矩形叠层厚板的状态空间新解法[J]. 力学学报, 2015, 47(5): 762-771. doi: 10.6052/0459-1879-15-033
引用本文: 胡文锋, 刘一华. 含固支边矩形叠层厚板的状态空间新解法[J]. 力学学报, 2015, 47(5): 762-771. doi: 10.6052/0459-1879-15-033
Hu Wenfeng, Liu Yihua. A NEW STATE SPACE SOLUTION FOR RECTANGULAR THICK LAMINATES WITH CLAMPED EDGES Hu Wenfeng Liu Yihua[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(5): 762-771. doi: 10.6052/0459-1879-15-033
Citation: Hu Wenfeng, Liu Yihua. A NEW STATE SPACE SOLUTION FOR RECTANGULAR THICK LAMINATES WITH CLAMPED EDGES Hu Wenfeng Liu Yihua[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(5): 762-771. doi: 10.6052/0459-1879-15-033

含固支边矩形叠层厚板的状态空间新解法

doi: 10.6052/0459-1879-15-033
详细信息
    通讯作者:

    刘一华,教授,主要研究方向:弹性力学,复合材料力学.E-mail:liuyihua@hfut.edu.cn

  • 中图分类号: O343.8

A NEW STATE SPACE SOLUTION FOR RECTANGULAR THICK LAMINATES WITH CLAMPED EDGES Hu Wenfeng Liu Yihua

  • 摘要: 通过把固支边上的边界位移函数作为状态变量引入状态方程,得到了含固支边矩形单层与叠层厚板的精确解. 在求解过程中,将非齐次状态方程的求解变为齐次状态方程的求解,省略了求解待定常数的中间过程,使求解过程变得简单. 所得到的解能够严格满足固支边界条件,在同一材料层内不需作分层处理,因而更加精确. 此外,对固支边的应力提出了新的计算方法,能够得到更精确的边界应力. 算例表明,本文解比现有精确解收敛快,与有限元解吻合的更好,尤其是在固支边处体现得更加明显.

     

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出版历程
  • 收稿日期:  2015-01-22
  • 修回日期:  2015-06-15
  • 刊出日期:  2015-09-18

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