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10 May 2024 Critical buckling load distribution of thin-walled cylindrical shells: a closer look at the lower tail
Wen Luo
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Proceedings Volume 12947, Behavior and Mechanics of Multifunctional Materials XVIII; 1294702 (2024) https://doi.org/10.1117/12.3014633
Event: SPIE Smart Structures + Nondestructive Evaluation, 2024, Long Beach, California, United States
Abstract
It is well known that the buckling of thin-walled cylindrical shells is highly imperfection sensitive - a slight geometric imperfection could lead to a substantially lower load capacity compared to the theoretical buckling load of perfect shells. While the cause of this phenomenon has become qualitatively clear, the accurate assessment of a shell's load capacity is still challenging in that the imperfections are random and that no two shells can be made exactly the same. The current study focuses on the statistical aspects of the imperfection sensitivity with special attention given to the lower tail region (failure risk near one out of one million) of the load capacity distribution, as only the tiny lower tail governs the practical structure design for safety. The results pave the road for developing a physically justified probabilistic buckling knockdown factor that guarantees the failure risk to not exceed one in a million.

[1] Von Karman, Theodore, and Hsue-Shen Tsien. "The buckling of thin cylindrical shells under axial compression." Journal of the Aeronautical Sciences 8, no. 8 (1941): 303-312.
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Wen Luo "Critical buckling load distribution of thin-walled cylindrical shells: a closer look at the lower tail", Proc. SPIE 12947, Behavior and Mechanics of Multifunctional Materials XVIII, 1294702 (10 May 2024); https://doi.org/10.1117/12.3014633
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KEYWORDS
Imperfections
Design and modelling
Monte Carlo methods
Failure analysis
Physics
Roads
Safety
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