A BOUNDARY LAYER THEORY FOR THE BUCKLING OF THIN CYLINDRICAL SHELLS UNDER EXTERNAL PRESSURE

Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (6): 557-571.

A BOUNDARY LAYER THEORY FOR THE BUCKLING OF THIN CYLINDRICAL SHELLS UNDER EXTERNAL PRESSURE

沈惠申, 陈铁云

Shanghai Jiaotong University, Shanghai

收稿日期:1985-09-30 出版日期:1988-06-18 发布日期:1988-06-18

A BOUNDARY LAYER THEORY FOR THE BUCKLING OF THIN CYLINDRICAL SHELLS UNDER EXTERNAL PRESSURE

Shen Hui-shen, Chen Tie-yun

Shanghai Jiaotong University, Shanghai

Received:1985-09-30 Online:1988-06-18 Published:1988-06-18

摘要/Abstract

摘要： Based on the boundary layer theory for the buckling of thin elastic shells-suggested in ref. [14], the buckling and postbuckling behavior of clamped circular cylindrical shells under lateral or hydrostatic pressure is studied applying singular perturbation method by taking deflection as perturbation parameter. The effects of initial geometric imperfection are also considered. Some numerical results for perfect and imperfect cylindrical shells are given. The analytical results obtained are compared with some experimental data in detail, which shows that both are rather coincident.

关键词: almost sure stability, ergodic process, bound for eigenvalue

Abstract: Based on the boundary layer theory for the buckling of thin elastic shells-suggested in ref. [14], the buckling and postbuckling behavior of clamped circular cylindrical shells under lateral or hydrostatic pressure is studied applying singular perturbation method by taking deflection as perturbation parameter. The effects of initial geometric imperfection are also considered. Some numerical results for perfect and imperfect cylindrical shells are given. The analytical results obtained are compared with some experimental data in detail, which shows that both are rather coincident.

Key words: almost sure stability, ergodic process, bound for eigenvalue

沈惠申;陈铁云. A BOUNDARY LAYER THEORY FOR THE BUCKLING OF THIN CYLINDRICAL SHELLS UNDER EXTERNAL PRESSURE[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(6): 557-571.

Shen Hui-shen;Chen Tie-yun. A BOUNDARY LAYER THEORY FOR THE BUCKLING OF THIN CYLINDRICAL SHELLS UNDER EXTERNAL PRESSURE[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(6): 557-571.

参考文献

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A BOUNDARY LAYER THEORY FOR THE BUCKLING OF THIN CYLINDRICAL SHELLS UNDER EXTERNAL PRESSURE

A BOUNDARY LAYER THEORY FOR THE BUCKLING OF THIN CYLINDRICAL SHELLS UNDER EXTERNAL PRESSURE

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