Stochastic Structural Optimization

Science & Math

Ohsaki, Makoto

Yamakawa, Makoto

Technology

CRC-Press

This book focuses on the optimization of a geometrically-nonlinear structure under stability constraint. It presents a deep insight into optimization-based and computer-assisted stability design of discrete structures. Coverage combines design sensitivity analysis developed in structural optimization and imperfection-sensitivity analysis developed in stability analysis.

Stability and Optimization of Structures: Generalized Sensitivity Analysis (Mechanical Engineering Series)

Ikeda, Kiyohiro

Reference

Springer

Optimization of Finite Dimensional Structures

Originally developed for mechanical and aeronautical engineering, structural optimization is not so easily applied to civil and architectural engineering, as structures in these fields are not mass products, but more often unique structures planned in accordance with specific design requirements. The shape and geometry of such structures are determined by a designer or an architect in view of nonstructural performance that includes aesthetics. Until now, books in this area gave little help to engineers working in cooperation with designers, as they covered conceptual material with little consideration of civil engineering applications, or they required a solid background in applied mathematics and continuum mechanics, an area not usually studied by practicing engineers and students in civil engineering. Optimization of Finite Dimensional Structures introduces methodologies and applications that are closely related to design problems encountered in structural optimization, to serve as a bridge between the communities of structural optimization in mechanical engineering and the researchers and engineers in civil engineering. This unparalleled, self-contained work: <ul>
<li>Provides readers with the basics of optimization of frame structures, such as trusses, building frames, and long-span structures, with descriptions of various applications to real-world problems</li> <li>Summarizes the historical development of methodologies and theorems on optimization of frame structures</li> <li>Introduces many recently developed highly efficient optimization techniques presented with illustrative examples</li> <li>Describes traditional problems with constraints on limit loads, member stresses, compliance, and eigenvalues of vibration, all in detail</li> <li>Offers a unique look at optimization results for spatial trusses and latticed domes</li> </ul> Mathematical preliminaries and methodologies are summarized in the book’s appendix, so that readers can attend to the details when needed without having to wade through tedious mathematics in the explanatory main chapters. Instead, small examples that can be solved by hand or by using a simple program are presented in these chapters, making the book readily accessible and highly useful for both classroom use and professional self-study.

Mathematics

Originally developed for mechanical and aeronautical engineering, structural optimization is not so easily applied to civil and architectural engineering, as structures in these fields are not mass products, but more often unique structures planned in accordance with specific design requirements. The shape and geometry of such structures are determined by a designer or an architect in view of nonstructural performance that includes aesthetics. Until now, books in this area gave little help to engineers working in cooperation with designers, as they covered conceptual material with little consideration of civil engineering applications, or they required a solid background in applied mathematics and continuum mechanics, an area not usually studied by practicing engineers and students in civil engineering. Optimization of Finite Dimensional Structures introduces methodologies and applications that are closely related to design problems encountered in structural optimization, to serve as a bridge between the communities of structural optimization in mechanical engineering and the researchers and engineers in civil engineering. This unparalleled, self-contained work: <ul>
<li>Provides readers with the basics of optimization of frame structures, such as trusses, building frames, and long-span structures, with descriptions of various applications to real-world problems</li> <li>Summarizes the historical development of methodologies and theorems on optimization of frame structures</li> <li>Introduces many recently developed highly efficient optimization techniques presented with illustrative examples</li> <li>Describes traditional problems with constraints on limit loads, member stresses, compliance, and eigenvalues of vibration, all in detail</li> <li>Offers a unique look at optimization results for spatial trusses and latticed domes</li> </ul> Mathematical preliminaries and methodologies are summarized in the book’s appendix, so that readers can attend to the details when needed without having to wade through tedious mathematics in the explanatory main chapters. Instead, small examples that can be solved by hand or by using a simple program are presented in these chapters, making the book readily accessible and highly useful for both classroom use and professional self-study.

To facilitate a deeper understanding of tensegrity structures, this book focuses on their two key design problems: self-equilibrium analysis and stability investigation. In particular, high symmetry properties of the structures are extensively utilized. Conditions for self-equilibrium as well as super-stability of tensegrity structures are presented in detail. An analytical method and an efficient numerical method are given for self-equilibrium analysis of tensegrity structures: the analytical method deals with symmetric structures and the numerical method guarantees super-stability. Utilizing group representation theory, the text further provides analytical super-stability conditions for the structures that are of dihedral as well as tetrahedral symmetry. This book not only serves as a reference for engineers and scientists but is also a useful source for upper-level undergraduate and graduate students. Keeping this objective in mind, the presentation of the book is self-contained and detailed, with an abundance of figures and examples.

Tensegrity Structures: Form, Stability, and Symmetry (Mathematics for Industry, 6)

Zhang, Jing Yao

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