Optimal Shape Design - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optimal Shape Design write by B. Kawohl. This book was released on 2000-11-16. Optimal Shape Design available in PDF, EPUB and Kindle. Optimal Shape Design is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid; the optimal shape of a region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves; the optimal design of some electrical device subject to constraints on the performance. The aim is to show that Optimal Shape Design, besides its interesting industrial applications, possesses nontrivial mathematical aspects. The main theoretical tools developed here are the homogenization method and domain variations in PDE. The style is mathematically rigorous, but specifically oriented towards applications, and it is intended for both pure and applied mathematicians. The reader is required to know classical PDE theory and basic functional analysis.
Optimal Shape Design
Optimal Shape Design - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optimal Shape Design write by B. Kawohl. This book was released on 2007-05-06. Optimal Shape Design available in PDF, EPUB and Kindle. Optimal Shape Design is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid; the optimal shape of a region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves; the optimal design of some electrical device subject to constraints on the performance. The aim is to show that Optimal Shape Design, besides its interesting industrial applications, possesses nontrivial mathematical aspects. The main theoretical tools developed here are the homogenization method and domain variations in PDE. The style is mathematically rigorous, but specifically oriented towards applications, and it is intended for both pure and applied mathematicians. The reader is required to know classical PDE theory and basic functional analysis.
Finite Element Approximation for Optimal Shape Design
Finite Element Approximation for Optimal Shape Design - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Element Approximation for Optimal Shape Design write by J. Haslinger. This book was released on 1988. Finite Element Approximation for Optimal Shape Design available in PDF, EPUB and Kindle. A text devoted to the mathematical basis of optimal shape design, to finite element approximation and to numerical realization by applying optimization techniques. The aim is to computerize the design process, thus reducing the time needed to design or to improve an existing design.
Topology Design of Structures
Topology Design of Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topology Design of Structures write by Martin P. Bendsøe. This book was released on 2012-12-06. Topology Design of Structures available in PDF, EPUB and Kindle. Proceedings of the NATO Advanced Research Workshop, Sesimbra, Portugal, June 20-26, 1992
Introduction to Shape Optimization
Introduction to Shape Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Shape Optimization write by Jan Sokolowski. This book was released on 2012-12-06. Introduction to Shape Optimization available in PDF, EPUB and Kindle. 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 with the classical partial differential equations of mathematical physics are well posed. In general the cost functional takes the form of an integral over the domain or its boundary where the integrand depends smoothly on the solution of a boundary value problem.
