旋转壳的抗扭刚度
Torsional Rigidity of Shells of Revolution
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摘要: 本文列出了旋转壳在包括扭转在内的轴对称变形下的一般平衡方程,并证明了旋转对称壳内的剪应力独立于壳内其它薄膜和弯曲应力.本文求解了只考虑薄膜应力的扭转问题,也求解了考虑弯曲扭应力在内的扭转问题,并指出了在薄壳中,抗扭刚度的主要部份来源于薄膜应力.Abstract: In this paper, the general equations of equilibrium for axisymmelrical deformation including the torsional deformation of revolutional shells are derived. It is shown that the shearing stress distribution due to torsion is independent of other stress components including those of membrane stress and bending stress.In this paper, the torsional deformation is considered to he represented by membrane action only, and also by the combined action of bending membrane deformation. It is shown that the main contribution of torsional rigidity is that related to membrane action.
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[1] Reissner,H.,Miller-breslau-festschnift.Leipzig(1912),181. [2] Wissler,H.,Festigkeitberechung von Ringsflachen,Promotionarbeit,Zurich(1916). [3] Meissner,E.,Physik.Zeits.,14(1913)343;yierteljahrssch Naturforsch Gas,Zurich,60(1915),23. [4] Tolke,F.,Ingenieur Archiv.,9(1938),282. [5] Clark,R.A.,J.of Math,and Physics,29(1950),146-178. [6] Новожилов В В,《薄壳理论》(北京石油学院译),科学出版社(1951). [7] 钱伟长,清华大学学报,19,1(1929).27-47. -
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