Nonprobabilistic, convex-theoretic modeling of scatter in material properties
Nonprobabilistic, convex-theoretic modeling of scatter in material properties
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DOI：
10.2514/3.12062
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发表时间：
1994-04
期刊：
影响因子：
2.5
通讯作者：
I. Elishakoff;P. Elisseeff;S. Glegg
中科院分区：
文献类型：
--
作者：
I. Elishakoff;P. Elisseeff;S. Glegg
本文发展了粘弹性结构材料性质不确定性的非概率凸模型。特别是，粘弹性梁的强迫振动的问题进行了研究。首先，英曼的解析解是广义的一组确定性的变量，描述材料的性能。接下来，这些变量被视为在四维空间中的固体“球”中变化，从而对材料属性的分散进行建模。确定结构设计所需的最不利响应。
Nonprobabilistic, convex modeling of uncertain material properties for viscoelastic structures is developed in this paper. In particular, the problem of forced vibrations of viscoelastic beams is studied. First the analytic solution by Inman is generalized for a deterministic set of variables, describing material properties. Next, these variables are treated as varying in a solid "ball" in the four-dimensional space, thus modeling the scatter in material properties. The least favorable response needed for the design of the structure is determined.