圆柱壳体与侧单元的耦合

M. Surianinov, S. Neutov, Yurii Burdeinii, Vitalii Metlizkiy
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引用次数: 0

摘要

本文提出了竖向荷载作用下由两个相同侧元支撑的长圆柱壳的解析计算方法。考虑了壳在曲线边缘上铰接的情况,并给出了考虑其他边界条件的建议。侧面元件的横截面的形状和尺寸没有限制。对于中等长度的平壳,该算法假定可以采用一般半矩理论计算和简化假设计算两种方法。在本文中,我们考虑了第一种方法。数学上,这个问题被简化为四个线性方程组。通过求解该系统,可以确定附加边界力作用下的力和位移,并将其与相应的无矩应力状态分量相加,即可得到圆柱壳内的总力和位移。
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Coupling of the Cylindrical Shell with Side Elements
The paper proposes an analytical method for calculating a long cylindrical shell supported by two identical side elements and loaded with vertical load. The case when the shell is hinged on curvilinear edges is considered, and recommendations for taking into account other boundary conditions are given. No restrictions are imposed on the shape and dimensions of the cross-section of the side element. The proposed algorithm assumes the possibility of implementing two approaches - calculation according to the general semimoment theory and calculation with simplifying hypotheses for flat shells of medium length. In the presented work, the first approach is considered. Mathematically, the problem is reduced to a system of four linear equations. By solving this system, it is possible to determine the forces and displacements due to the action of additional boundary forces, and by adding them with the corresponding components of the momentless stress state, one can obtain the total forces and displacements in the cylindrical shell.
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