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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.
This self-contained volume explains the general method of statistical linearization and its use in solving random vibration problems. Numerous examples show advanced undergraduate and graduate students many practical applications. 1990 edition.
Uncertainty influences the individual as well as society; so it is important to enhance our understanding of uncertainty. First of all, do we all agree on a unique definition of uncertainty in the natural and technological worlds? Secondly, how can we model uncertainty? Is it purely a state of mind, the lack of complete knowledge, or is it a phenomenon in its own right? What heuristic and mathematical models are available? What types of questions about uncertainty can be formulated? What questions can be realistically answered? Do scholars in diverse fields agree on these issues? These and other questions are addressed by 20 scholars from mechanical, civil, electrical, material, aerospace and ocean engineering, from applied mathematics, economics, industrial engineering and operations research, control theory, geodesy, systems science, and philosophy.
Selected, peer reviewed papers from the 2nd International Conference on Advances in Computational Modeling and Simulation (ACMS 2013), July 17-19, 2013, Kunming, China
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Mechanics of Functionally Graded Material Structures is an authoritative and fresh look at various functionally graded materials, customizing them with various structures. The book is devoted to tailoring material properties to the needed structural performance. The authors pair materials with the appropriate structures based upon their purpose and use.Material grading of structures depending upon thickness, axial and polar directions are discussed. Three dimensional analysis of rectangular plates made of functional graded materials and vibrational tailoring of inhomogeneous beams and circular plates are both covered in great detail. The authors derive novel closed form solutions that can serve as benchmarks that numerical solutions can be compared to. These are published for the first time in the literature. This is a unique book that gives the first exposition of the effects of various grading mechanisms on the structural behavior as well as taking into account vibrations and buckling.