横向剪变形对具有一小圆孔的浅壳应力集中系数的影响
The Effect of Transverse Shear Deformation on Stress Concentration Factors for Shallow Shells with a Small Circular Hole
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摘要: 本文导出了分析计及横向剪变形的浅壳小孔应力集中问题的简化方程.对浅球壳和圆柱壳带一小圆孔的情况,获得了方程的级数形式通解.对均匀内压作用下的圆柱壳,求得了小圆孔边上应力集中系数的近似显式解,并计算了数值结果.Abstract: Simplified equations are derived for the analysis of stress concentration for shear-deformable shallow shells with a small hole. General solutions of the equations are obtained, in terms of series, for shallow spherical shells and shallow circular cylindrical shells with a small circular hole. Approximate explicit solutions and numerical results are obtianed for the stress concentration factors of shallow circular cylindrical shells with a small hole on which uniform pressure is acting.
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Key words:
- shells /
- transverse shear deformation /
- stress concentration
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[1] Reissner,E.and F.Y.M.Wan,A note on the linear theory of shallow shear-deformable shells,Journal of Applied Mathematics and Physics,ZAMP,33(1982),425-427. [2] Reissner,E.and F.Y.M.Wan,On the effect of transverse shear deformability on stress concentration factors for twisted and sheared shallow spherical shells,Journal of Applied Mechanics,ASME,53(1986),597-601. [3] 徐秉汉、裴俊厚、朱邦俊,《壳体开孔的理论与实验》,北京,国防工业出版社(1987). [4] Reissner,E.,On the determination of stresses and displacements for unsymmetrical deformations of shallow spherical shells,Journalof Mathematics and Physics,38(1969),16-35. [5] Reissner,E.,On the transverse twisting of shallow spherical ring caps,Journal of Applied Mechanics,47(1980),101-105. [6] 钱令希等,圃柱壳开孔问题—单圆孔基本解,大连工学院学.3,4(1985). -
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