Structural Optimization with Uncertainties
Structural Optimization with Uncertainties
复制标题
具有不确定性的结构优化
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
P. Neittaanmki
中科院分区：
文献类型：
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作者：
N. Banichuk;P. Neittaanmki
本专着致力于阐述在不完全信息和解决技术的情况下提出结构优化问题的新方法。概述了有关承受外部载荷的物体的最佳形状和结构特性的研究成果。研究了不完全信息下的优化设计问题，考虑了结构与其环境之间的相互作用、材料的性能、初始损伤的存在和损伤累积。本书致力于克服因提高局部泛函而引起的相应数学困难。本书的大部分内容都致力于使用最坏情况的极小极大方法，即所谓的保证方法。然而，不保证结果的概率方法也在专着中进行了描述，因为它给出了更乐观的结果。此外，还讨论了混合概率保证方法并将其应用于解决具有不确定性的结构优化问题。
This monograph is devoted to the exposition of new ways of formulating problems of structural optimization with incomplete information and techniques of solution.Research results concerning the optimum shape and structural properties of the bodies subjected to external loadings are recapitulated. Problems of optimal design with incomplete information, accounting for the interaction between the structure and its environment, properties of materials, existence of initial damages and damage accumulation are studied. Thisvolumetreats overcoming the corresponding mathematical difficulties caused by raising local functionals. Most of the book is devoted to the minimax approach using worst case scenarios, i.e. the so-called guaranteed approach.However, the probabilistic approach, that does not guarantee the result, is also described in the monograph, because it gives more optimistic results. Also, themixed probabilistic guaranteed approach is discussed and applied for the solution of structural optimization problems with uncertainties.