XU Jia-chu, WANG Cheng, LIU Ren-huai. Nonlinear Stability of Truncated Shallow Conical Sandwich Shell With Variable Thickness[J]. Applied Mathematics and Mechanics, 2000, 21(9): 881-889.
 Citation: XU Jia-chu, WANG Cheng, LIU Ren-huai. Nonlinear Stability of Truncated Shallow Conical Sandwich Shell With Variable Thickness[J]. Applied Mathematics and Mechanics, 2000, 21(9): 881-889.

# Nonlinear Stability of Truncated Shallow Conical Sandwich Shell With Variable Thickness

• Rev Recd Date: 2000-05-25
• Publish Date: 2000-09-15
• The theory of nonlinear stability for a truncated shallow conical shell with variable thickness under the action of uniform pressure was presented.The fundamental equations and boundary conditions were derived by means of calculus of variations.An analytic solution for the critical buckling pressure of the shell with a hyperbolically varying thichness is obtained by use of modified iteration method.The results of numerical calculations are presented in diagrams,which show the influence of geometrical and physical parameters on the buckling behavior.
•  [1] Reissner E. Finite deflection of sandwich plates[J]. J Aeronaut Sci,1948,15(7):435～440;1950,17(2):125-130. [2] Yu Y Y. Nonlinear flexural vibration of sandwich plates[J]. J Acoust Soc Amer,1962,34(6):1176-1181. [3] Kan H K, Huang J C. Large deflection of rectangular sandwich plates[J]. AIAA J,1967,5(10):1706-1708. [4] Stuck R. Nonlinear stability problem of an open conical sandwich shell under external pressure and compression[J]. Int J Non-Linear Mech,1984,19(3):217-233. [5] 刘人怀,朱金福,张小果. 夹层环形板的非线性弯曲[J]. 暨南大学学报,1997,18(1):1-11. [6] LIU Ren-huai, LI Jun. Nonlinear vibration of shallow conical sandwich shells[J]. Int J Non-Linear Mech,1995,30(2):97-109. [7] LIU Ren-huai, CHENG Zhen-qiang. On the nonlinear buckling of circular shallow spherical sandwich shells under the action of uniform edge moments[J]. Int J Non-Linear Mech,1995,30(1):33-43. [8] 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. [9] 刘人怀,朱金福. 夹层壳的非线性理论[M]. 北京: 机械工业出版社,1993. [10] 刘人怀,吴建成. 夹层矩形板的非线性振动[J]. 中国科学A辑,1992,35(4):472-486. [11] 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. [12] Paydar N, Libove C. Bending of sandwich plates of variable thickness[J]. J Appl Mech, ASME,1988,55(2):419-423. [13] Paydar N. Stress analysis of annular sandwich plates of linearly varying thickness[J]. Int J Solids Struct,1988,24(3):313-320. [14] Lu C, Libove C. Beamlike harmonic vibration of variable thickness sandwich plates[J]. AIAA J,1991,29(2):299-234. [15] Jeon J S, Hong C S. Bending of tepared anisotropic sandwich plates with arbitrary edge conditions[J]. AIAA J,1992,30(7):1762-1769. [16] 叶开沅,刘人怀,平庆元,等. 圆底扁球壳在均匀线布载荷作用下的非线性稳定性[J]. 科学通报,1965,(2):142-144. [17] 叶开沅,刘人怀,平庆元,等. 圆底扁球壳在均匀边缘力矩作用下的非线性稳定性[J]. 科学通报,1965,(2):145-148. [18] 刘人怀. 中心开孔圆底扁球壳在均匀线布载荷作用下的非线性稳定性[J].科学通报,1965,(3):253-257.

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