Non‐linear programming for the plastic analysis of local deformations in shell structures
Non‐linear programming for the plastic analysis of local deformations in shell structures
复制标题
壳结构局部变形塑性分析的非线性编程
DOI：
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发表时间：
1971
期刊：
影响因子：
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通讯作者：
A. Morris
中科院分区：
文献类型：
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作者：
A. Morris
本文分析了塑料球壳和圆柱壳在通过刚性凸台施加的载荷下的响应。特别强调在施加屈服点载荷后跟踪这些结构的载荷-挠度行为，以便预测任何折断动作的出现。
分析方法假设上限计算是适用的，并且相关的速度场可以由一系列分段连续多项式表示。然后根据这些多项式的系数写出结构的内部能量耗散，并通过使用非线性编程例程找到适合解决方案的值。
该分析的结果与无量纲凸台尺寸参数 p 相关，并与实验研究的结果进行比较。还提到了初始缺陷可能产生的影响。
The paper presents an analysis of the response of plastic spherical and cylindrical shells subjected to loads applied through a rigid boss. Special emphasis is placed on following the load-deflection behaviour of these structures after the application of the yield-point load in order to predict the appearance of any snapping action.
The method of analysis assumes that upper bound calculations are applicable and that the associated velocity fields can be represented by a series of piecewise continuous polynomials. The internal dissipation of energy for the structures are then written in terms of the coefficients of these polynomials and the values appropriate to the solution are found by using a non-linear programming routine.
The results of this analysis are correlated with a non-dimensional boss size parameter p and compared with the results of experimental investigations. Mention is also made of the possible effects of initial imperfections.