期刊文献+

夹层圆板大挠度问题的打靶法数值解 被引量:2

Numerical Solution for of the Shooting Method the Large Deflection of Sandwich Plates
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摘要 研究了夹层圆板的非线性轴对称弯曲问题 ,采用打靶法和解析延拓法对周边滑动固定和周边固定两种边界条件下圆板的弯曲进行求解 ,获得了有意义的数值解 ,并与采用修正迭代法得到的解析解和采用幂级数方法得到的精确解进行了比较 。 The non-linear axisymmetric bending problem for sandwich plates is studied in this paper. The bending for circular plates with clamped moveable and clamped immoveable edge is solved by using shooting method and analytic continuation method and its numerical solution is obtained. The solution obtained by using shooting method in this paper is compared with the analytic solution obtained from the modified iteration method and the exact one obtained from the power series method, which is very satisfactory.
出处 《兰州交通大学学报》 CAS 2001年第6期111-114,共4页 Journal of Lanzhou Jiaotong University
关键词 夹层圆板 非线性 打靶法 数值解 circular sandwich plates non-linearity shooting method numerical solution
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参考文献5

  • 1[1]Reissner,E. Finite deflection of sandwich plates[J]. J Aeron Sci. 1950,17(2):125-130.
  • 2[2]Amato, A.J., Axisymmetric buckling of annular sandwich panels[J].AIAA J, 19 72, 10(10):1351.
  • 3刘人怀.夹层圆板的非线性弯曲[J].应用数学和力学,1981,2(2):173-190.
  • 4刘人怀 施云方.夹层圆板大挠度问题的精确解[J].应用数学和力学,1982,3(1):11-24.
  • 5[7]Li Shirong, Yang Jingning. Thermal post-buckling of heated elastic rods with immovably clamped ends[J]. Proceeding of the Third International Conference on non-linear Mechan ics Shanghai: Shanghai University press, 282-285.

共引文献11

同被引文献16

  • 1刘人怀,成振强.简支夹层矩形板的非线性弯曲[J].应用数学和力学,1993,14(3):203-218. 被引量:26
  • 2刘人怀,朱高秋.夹层圆板大挠度问题的进一步研究[J].应用数学和力学,1989,10(12):1041-1047. 被引量:13
  • 3程华,刘方龙.复合材料夹层板弯曲修正的Reissner理论[J].复合材料学报,1990,7(4):17-27. 被引量:6
  • 4Reissner E. Finite Deflection of Sandwich Plates[J]. J. Aeronaut Sei, 1950,17(2) :125-130.
  • 5Amato A J. Axisymmetric Buckling of Annular Sandwich Panels[J]. AIAA J. 1972,10(10) :1 351-1 352.
  • 6Liu R H, Li J. Nonlinear Vibration of Shallow Conical Sandwieh Shells[J]. Int. J. Nonlinear Meeh,1995,30(2) :97-109.
  • 7Paydar N. Stress Analysis of Annular Sandwich Plates of Linearly Varying Thickness[J]. Int. J. Solids Struet, 1988, 24 (3) :313-320.
  • 8Paydar N, Libove C. Bending of Sandwich Plates of Variable Thiekness[J]. J. Appl. Mech. ASME, 1988,55(2) :419-423.
  • 9E Reissner.Finite deflection of sandwich plates[J].J Aeronaut Sci,1950,17(2):125-130.
  • 10Amato A J.Axisymmetric buckling of annular sandwich panels[J].AIAA J,1972,10(10):1351.

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