Abstract
Based on small-deflection buckling equation, a weighted solution for critical load is presented. Usually, it is very difficult to solve the equation for general problems, especially those with complicated boundary conditions. Axisymmetric problem was studied as an example. Influencing factors were found from the equation and averaged as the buckling load by introducing weights. To determine those weights, some special known results were applied. This method solves general complicated problems by using the solutions of special simple problems, simplifies the solving procedure and expands the scope of solvable problem. Compared with numerical solution, it also has fine precision.
Similar content being viewed by others
References
Singer Josef. Experimental studies in shell buckling[A]. In:Proceedings of the 1997 38th AIAA Structures, Structural Dynamics & Materials Conference[C]. 1997,3:1922–1932.
Raisuddin Khan. New approach to instability testing of shells[J].Int J Pressure Vissels and Piping, 1998,75(1):75–80.
Hauch Soren. Use of finite element analysis for local buckling design of pipelines[A]. In:Proceedings of the International Conference on OMAE[C]. 5–9, July, 1998,9.
Simitses G J. Buckling of moderately thick laminated cylindrical shells: a review[J].Composites Part B: Engineering, 1996,27(6):581–587.
Ross C T F. Plastic axisymmetric collapse of thin-walled circular cylinders and cones under uniform external pressure[J].Thin-Walled Structures, 1998,30(1–4):35–54.
Al-Hassani S T S. Analytical study of buckling of composite tubes with various boundary condition [J].Composite Structures, 1997,39(1–2):157–164.
TONG Li-yong. Simple solutions for buckling of laminated conical shells[J].Int J Mechanical Sciences, 1992,34(2):93–111.
Ross Carl T F. Instability of circumferentially corrugated cylinders under uniform external press [A]. In:ASME Petroleum Division PD Proceedings of the 1996 3rd Joint Conference on Engineering Systems Design and Analysis[C]. 1996,81(9):249–255.
Filippov S B. Buckling of joined cylindrical shells under uniform external pressure[J].Prikladnaya Matematika Mekhanika, 1995,59(1):140–148.
WU Lian-yuan.Theory of Plate and Shell's Stability[M]. Shanghai: Huazhong Technology University Press, 1996. (in Chinese)
Author information
Authors and Affiliations
Additional information
Communicated by ZHOU Cheng-ti
Foundation item: the National Natural Science Foundation of China (G19972041)
Biography: WANG Zong-li (1977-), Master
Rights and permissions
About this article
Cite this article
Zong-li, W., Xi, W. & Wen-hua, H. Weighted solution of small-deflection buckling equation of thin shell. Appl Math Mech 22, 1404–1409 (2001). https://doi.org/10.1007/BF02435544
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02435544