挤压应力对圆柱壳轴对称弯曲变形的影响

发布时间：2018-03-01 08:11

本文关键词： 挤压应力圆柱壳轴对称弯曲变形　出处：《力学季刊》2017年03期 　论文类型：期刊论文

【摘要】：以柱面为中面的薄壳,称为柱形薄壳,简称为柱壳.因为这种薄壳在纵向(柱面的母线方向)没有曲率,在计算、设计、制造、施工方面都比较简单,所以得到广泛的使用.在壳体理论中,通常采用如下的计算假定:(1)垂直于中面方向的线应变可以不计;(2)中面的法线保持为直线,而且垂直于变形后的中面;(3)与中面平行的截面上的正应力σ_3(即挤压应力),远小于其垂直面上的正应力,因而它对形变的影响可以不计;(4)体力及面力均可化为作用于中面的荷载.本文在放弃计算假定(3)的情况下计算了圆柱壳在轴对称弯曲时的变形和应力,得到的最大应力比传统理论得到的最大应力更大,最大挠度更小,更接近有限元分析的结果.计算结果对高压容器的设计有一定参考价值.
[Abstract]:A thin cylindrical shell, called a cylindrical shell, is called a cylindrical shell, because it has no curvature in the longitudinal direction (the direction of the busbar of the cylinder) and is relatively simple in calculation, design, manufacture and construction. So it is widely used. In shell theory, the following calculation is usually used to assume that the linear strain perpendicular to the middle plane can be maintained as a straight line without taking into account the normal line of the middle plane. Moreover, the normal stress 蟽 3 on the section parallel to the middle plane is much smaller than the normal stress on the vertical plane. Therefore, its effect on deformation can be reduced to the load acting on the middle plane without taking into account the force of 4). In this paper, the deformation and stress of the cylindrical shell under axisymmetric bending are calculated by giving up the assumption of calculation. The maximum stress obtained is larger than that obtained by traditional theory, and the maximum deflection is smaller, which is closer to the result of finite element analysis. The calculated results have some reference value for the design of high pressure vessel.
【作者单位】：华东理工大学机械与动力工程学院机械工程系;
【分类号】：O342

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