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Title: Structural Analysis
Other Titles: With Applications to Aerospace Structures
Authors: . Bauchau, O.A
Keywords: SOLID MECHANICS
Structural
Issue Date: 2009
Publisher: Springer
Abstract: Engineered structures are almost as old as human civilization and undoubtedly began with rudimentary tools and the first dwellings outside caves. Great progress has been made over thousands of years, and our world is now filled with engineered struc- tures from nano-scale machines to soaring buildings. Aerospace structures ranging from fragile human-powered aircraft to sleek jets and thundering rockets are, in our opinion, among the most challenging and creative examples of these efforts. The study of mechanics and structural analysis has been an important area of en- gineering over the past 300 years, and some of the greatest minds have contributed to its development. Newton formulated the most basic principles of equilibrium in the 17 th century, but fundamental contributions have continued well into the 20 th century. Today, structural analysis is generally considered to be a mature field with well-established principles and practical tools for analysis and design. A key rea- son for this is, without doubt, the emergence of the finite element method and its widespread application in all areas of structural engineering. As a result, much of today’s emphasis in the field is no longer on structural analysis, but instead is on the use of new materials and design synthesis.
Description: In a few instances, new or less familiar terms have been chosen because of their importance in aerospace structural analysis. For instance, the terms “isostatic” and “hyperstatic” structures are used to describe statically determinate and indetermi- nate structures, respectively, because these terms concisely define concepts that often puzzle and confuse students. Beam bending stiffnesses are indicated with the symbol “H” rather than the more common “EI.” When dealing exclusively with homoge- neous material, notation “EI” is easy to understand, but in presence of heteroge- neous composite materials, encapsulating the spatially varying elasticity modulus in the definition of the bending stiffness is a more rational approach. It is traditional to use a bold typeface to represent vectors, arrays, and matri- ces, but this is very difficult to reproduce in handwriting, whether in a lecture or in personal notes. Instead, we have adopted a notation that is more suitable for hand- written notes. Vectors and arrays are denoted using an underline, such as u or F . Unit vectors are used frequently and are assigned a special notation using a single overbar, such as ı̄ 1 , which denotes the first Cartesian coordinate axis. We also use the over- bar to denote non-dimensional scalar quantities, i.e., k̄ is a non-dimensional stiffness coefficient. This is inconsistent, but the two uses are in such different contexts that it should not lead to confusion. Matrices are indicated using a double-underline, i.e., C indicates a matrix of M rows and N columns.
URI: http://localhost:8080/xmlui/handle/123456789/79
ISBN: 978-90-481-2516-6
Appears in Collections:ARTS & SCIENCE

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