By Dewey H. Hodges, G. Alvin Pierce
This article offers an advent to structural dynamics and aeroelasticity, with an emphasis on traditional airplane. the first components thought of are structural dynamics, static aeroelasticity, and dynamic aeroelasticity. The structural dynamics fabric emphasizes vibration, the modal illustration, and dynamic reaction. Aeroelastic phenomena mentioned contain divergence, aileron reversal, airload redistribution, unsteady aerodynamics, flutter, and elastic tailoring. multiple hundred illustrations and tables aid make clear the textual content, and greater than fifty difficulties increase scholar studying. this article meets the necessity for an up to date therapy of structural dynamics and aeroelasticity for complicated undergraduate or starting graduate aerospace engineering scholars. compliment from the 1st version ''Wonderfully written and entire of significant details by way of unrivaled specialists at the topic, this article meets the necessity for an updated therapy of structural dynamics and aeroelasticity for complicated undergraduate or starting graduate aerospace engineering students.'' - present Engineering perform ''Hodges and Pierce have written this crucial e-book to fill an incredible hole in aeronautical engineering schooling. hugely recommended.'' - selection ''. . . a welcome boost to the textbooks on hand to these with curiosity in aeroelasticity. . . . As a textbook, it serves as an exceptional source for complex undergraduate and entry-level graduate classes in aeroelasticity. . . . moreover, practising engineers attracted to a heritage in aeroelasticity will locate the textual content to be a pleasant primer.'' - AIAA Bulletin
''This textual content introduces structural dynamics and aeroelasticity, emphasizing traditional aircraft''--''The ebook bargains at an uncomplicated point with aeroelasticity, a learn of static and dynamic habit of buildings lower than the effect of fluid move. the extent of fabric is suitable for a senior-level undergraduate path or an introductory first-year graduate student''-- 1. advent; 2. Mechanics basics; three. Structural dynamics; four. Static aeroelasticity; five. Aeroelastic flutter
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Extra resources for Introduction to structural dynamics and aeroelasticity
Magnification factor |G(i )| versus /ω for various values of ζ for a harmonically excited system Harmonically forced systems also may exhibit a large and possibly dangerous response in the case of resonance, where the driving frequency is very near ω. 79) whereas the response amplitude reaches 1/(2ζ ) for lightly damped systems. 7 Epilogue In this chapter, we laid out the foundational theories of mechanics that are needed for an introductory treatment of structural dynamics and aeroelasticity. 15.
With this, Eq. 69) We are mostly concerned about the response of systems with small damping ratios, in which ζ < 1. 70) 1 − ζ 2ψ The responses caused by arbitrary initial displacement and velocity can be constructed by combining the responses to unit initial displacement and unit initial velocity. For the first, we let x(0) = 1 and x (0) = 0, which together imply that a = 1 and b = ζ / 1 − ζ 2 . For the second, we let x(0) = 0 and x (0) = 1, which together imply a = 0 and b = 1/ 1 − ζ 2 . In all cases, the displacement and velocity both exhibit an oscillatory character with a decaying amplitude for ζ > 0 and a growing amplitude for ζ < 0.
43) Strain Energy. 44) This is also an appropriate expression of torsional strain energy for a composite beam without elastic coupling. Kinetic Energy. 45) Virtual Work of Applied, Distributed Torque. 46) 0 where δθ is the variation of θ (x, t), the angle of rotation caused by twist. Note that δθ may be thought of as an increment of θ (x, t) that satisfies all geometric constraints. 5. 2 Bending As in the case of torsion, the beam is initially treated as having nonuniform properties along the x axis.