| 书目名称 | Introduction to Shape Optimization |
| 副标题 | Shape Sensitivity An |
| 编辑 | Jan Sokolowski,Jean-Paul Zolesio |
| 视频video | |
| 丛书名称 | Springer Series in Computational Mathematics |
| 图书封面 |  |
| 描述 | This book is motivated largely by a desire to solve shape optimization prob lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter systems. Many such problems can be formulated as the minimization of functionals defined over a class of admissible domains. Shape optimization is quite indispensable in the design and construction of industrial structures. For example, aircraft and spacecraft have to satisfy, at the same time, very strict criteria on mechanical performance while weighing as little as possible. The shape optimization problem for such a structure consists in finding a geometry of the structure which minimizes a given functional (e. g. such as the weight of the structure) and yet simultaneously satisfies specific constraints (like thickness, strain energy, or displacement bounds). The geometry of the structure can be considered as a given domain in the three-dimensional Euclidean space. The domain is an open, bounded set whose topology is given, e. g. it may be simply or doubly connected. The boundary is smooth or piecewise smooth, so boundary value problems that are defined in the domain and associated w |
| 出版日期 | Book 1992 |
| 关键词 | Elasticity; Elastizität; Elastizitätstheorie; Free Boundary Value Problem; Kontrolltheorie; Randwertprobl |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-58106-9 |
| isbn_softcover | 978-3-642-63471-0 |
| isbn_ebook | 978-3-642-58106-9Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
| issn_series | 0179-3632 |
| copyright | Springer-Verlag Berlin Heidelberg 1992 |
发表于 2025-3-21 18:55:57
