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抛物线型变厚度圆薄板的大挠度分析

LARGE DEFLECTION ANALYSIS OF CIRCULAR PLATES WITH VARIABLE THICKNESS BY PARABOLA
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摘要 用变享度板壳大挠度理论的修正迭代法,对周边固定、受复合载荷下的变厚度圆薄板进行求解,获得了精度较高的二次近似解析解。将本文的结果退化到特殊情况,就可以得到和前人完全一致的结果。同时.给出了特征曲线并进行比较,其结果是满意的. By means of the modified interation method of large deflection theory for plateswith variable thickness.the problem of circular plates with variable thickness subjected tocombined loads under the boundary condition of the damped edges was solved, andcomparatively accurate second-order approximate analytical solution was obtained.If theresults of this paper are degraded into special cases,the results comeiding with those of somepapers can be obtained.Simultaneously,the charateristic curves and comparasons are given. The results are satisfied.
作者 梅甫良
出处 《石油大学学报(自然科学版)》 CSCD 1994年第2期68-74,共7页 Journal of the University of Petroleum,China(Edition of Natural Science)
关键词 圆薄板 挠度 抛物型方程 Parabolic equations Circular plate Deflection Analysis
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参考文献3

  • 1王新志,徐鉴,王林祥.在复合载荷作用下变厚度圆薄板大挠度问题[J]应用数学和力学,1989(09).
  • 2王晋莹.变厚度圆薄板在集中荷载下的非线性问题[J]应用数学和力学,1987(03).
  • 3王新志.变厚度圆薄板在均布载荷下大挠度问题[J]应用数学和力学,1983(01).

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