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NACA REPORT 874
A Simplified Method of Elastic Stability Analysis for Thin Cylindrical Shells
Year: 1947
Abstract: This paper develops a new method for determining the buckling stresses of cylindrical shells under various loading conditions. In part I, the equation for the equilibrium of cylindrical shells introduced by Donnell in NACA report no. 479 to find the critical stresses of cylinders in torsion is applied to find critical stresses for cylinders with simply supported edges under other loading conditions. In part II, a modified form of Donnell's equation for the equilibrium of thin cylindrical shells is derived which is equivalent to Donnell's equation but has certain advantages in physical interpretation and in ease of solution, particularly in the case of shells having clamped edges. The question of implicit boundary conditions is also considered.
Subject: AEROELASTICITY
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NACA REPORT 874
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| contributor author | NASA - National Aeronautics and Space Administration (NASA) | |
| date accessioned | 2017-09-04T17:06:46Z | |
| date available | 2017-09-04T17:06:46Z | |
| date copyright | 01/01/1947 | |
| date issued | 1947 | |
| identifier other | YFYHUEAAAAAAAAAA.pdf | |
| identifier uri | http://yse.yabesh.ir/std;query=autho47037D83FCDCAC426159DD6E273C9FCD/handle/yse/130291 | |
| description abstract | This paper develops a new method for determining the buckling stresses of cylindrical shells under various loading conditions. In part I, the equation for the equilibrium of cylindrical shells introduced by Donnell in NACA report no. 479 to find the critical stresses of cylinders in torsion is applied to find critical stresses for cylinders with simply supported edges under other loading conditions. In part II, a modified form of Donnell's equation for the equilibrium of thin cylindrical shells is derived which is equivalent to Donnell's equation but has certain advantages in physical interpretation and in ease of solution, particularly in the case of shells having clamped edges. The question of implicit boundary conditions is also considered. | |
| language | English | |
| title | NACA REPORT 874 | num |
| title | A Simplified Method of Elastic Stability Analysis for Thin Cylindrical Shells | en |
| type | standard | |
| page | 25 | |
| status | Active | |
| tree | NASA - National Aeronautics and Space Administration (NASA):;1947 | |
| contenttype | fulltext | |
| subject keywords | AEROELASTICITY | |
| subject keywords | ANALYSIS (MATHEMATICS) | |
| subject keywords | AXIAL COMPRESSION LOADS | |
| subject keywords | BUCKLING | |
| subject keywords | COMPARISON | |
| subject keywords | CRITICAL LOADING | |
| subject keywords | CYLINDRICAL SHELLS | |
| subject keywords | DONNELL EQUATIONS | |
| subject keywords | EDGES | |
| subject keywords | ELASTIC SHELLS | |
| subject keywords | SHEAR STRESS | |
| subject keywords | STABILITY | |
| subject keywords | STRESS ANALYSIS | |
| subject keywords | STRESSED-SKIN STRUCTURES | |
| subject keywords | SUPPORTS | |
| subject keywords | THEORIES |