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Introduction to Structural Dynamics and Aeroelasticity, Second Edition

Book Description

This text provides an introduction to structural dynamics and aeroelasticity, with an emphasis on conventional aircraft. The primary areas considered are structural dynamics, static aeroelasticity and dynamic aeroelasticity. The structural dynamics material emphasizes vibration, the modal representation and dynamic response. Aeroelastic phenomena discussed include divergence, aileron reversal, airload redistribution, unsteady aerodynamics, flutter and elastic tailoring. More than one hundred illustrations and tables help clarify the text and more than fifty problems enhance student learning. This text meets the need for an up-to-date treatment of structural dynamics and aeroelasticity for advanced undergraduate or beginning graduate aerospace engineering students.

Table of Contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright
  5. Contents
  6. Figures
  7. Tables
  8. Foreword
  9. 1. Introduction
  10. 2. Mechanics Fundamentals
    1. 2.1 Particles and Rigid Bodies
      1. 2.1.1 Newton’s Laws
      2. 2.1.2 Euler’s Laws and Rigid Bodies
      3. 2.1.3 Kinetic Energy
      4. 2.1.4 Work
      5. 2.1.5 Lagrange’s Equations
    2. 2.2 Modeling the Dynamics of Strings
      1. 2.2.1 Equations of Motion
      2. 2.2.2 Strain Energy
      3. 2.2.3 Kinetic Energy
      4. 2.2.4 Virtual Work of Applied, Distributed Force
    3. 2.3 Elementary Beam Theory
      1. 2.3.1 Torsion
      2. 2.3.2 Bending
    4. 2.4 Composite Beams
      1. 2.4.1 Constitutive Law and Strain Energy for Coupled Bending and Torsion
      2. 2.4.2 Inertia Forces and Kinetic Energy for Coupled Bending and Torsion
      3. 2.4.3 Equations of Motion for Coupled Bending and Torsion
    5. 2.5 The Notion of Stability
    6. 2.6 Systems with One Degree of Freedom
      1. 2.6.1 Unforced Motion
      2. 2.6.2 Harmonically Forced Motion
    7. 2.7 Epilogue
      1. Problems
  11. 3. Structural Dynamics
    1. 3.1 Uniform String Dynamics
      1. 3.1.1 Standing Wave (Modal) Solution
      2. 3.1.2 Orthogonality of Mode Shapes
      3. 3.1.3 Using Orthogonality
      4. 3.1.4 Traveling Wave Solution
      5. 3.1.5 Generalized Equations of Motion
      6. 3.1.6 Generalized Force
      7. 3.1.7 Example Calculations of Forced Response
    2. 3.2 Uniform Beam Torsional Dynamics
      1. 3.2.1 Equations of Motion
      2. 3.2.2 Boundary Conditions
      3. 3.2.3 Example Solutions for Mode Shapes and Frequencies
      4. 3.2.4 Calculation of Forced Response
    3. 3.3 Uniform Beam Bending Dynamics
      1. 3.3.1 Equation of Motion
      2. 3.3.2 General Solutions
      3. 3.3.3 Boundary Conditions
      4. 3.3.4 Example Solutions for Mode Shapes and Frequencies
      5. 3.3.5 Calculation of Forced Response
    4. 3.4 Free Vibration of Beams in Coupled Bending and Torsion
      1. 3.4.1 Equations of Motion
      2. 3.4.2 Boundary Conditions
    5. 3.5 Approximate Solution Techniques
      1. 3.5.1 The Ritz Method
      2. 3.5.2 Galerkin’s Method
      3. 3.5.3 The Finite Element Method
    6. 3.6 Epilogue
      1. Problems
  12. 4. Static Aeroelasticity
    1. 4.1 Wind-Tunnel Models
      1. 4.1.1 Wall-Mounted Model
      2. 4.1.2 Sting-Mounted Model
      3. 4.1.3 Strut-Mounted Model
      4. 4.1.4 Wall-Mounted Model for Application to Aileron Reversal
    2. 4.2 Uniform Lifting Surface
      1. 4.2.1 Steady-Flow Strip Theory
      2. 4.2.2 Equilibrium Equation
      3. 4.2.3 Torsional Divergence
      4. 4.2.4 Airload Distribution
      5. 4.2.5 Aileron Reversal
      6. 4.2.6 Sweep Effects
      7. 4.2.7 Composite Wings and Aeroelastic Tailoring
    3. 4.3 Epilogue
      1. Problems
  13. 5. Aeroelastic Flutter
    1. 5.1 Stability Characteristics from Eigenvalue Analysis
    2. 5.2 Aeroelastic Analysis of a Typical Section
    3. 5.3 Classical Flutter Analysis
      1. 5.3.1 One-Degree-of-Freedom Flutter
      2. 5.3.2 Two-Degree-of-Freedom Flutter
    4. 5.4 Engineering Solutions for Flutter
      1. 5.4.1 The k Method
      2. 5.4.2 The p-k Method
    5. 5.5 Unsteady Aerodynamics
      1. 5.5.1 Theodorsen’s Unsteady Thin-Airfoil Theory
      2. 5.5.2 Finite-State Unsteady Thin-Airfoil Theory of Peters et al.
    6. 5.6 Flutter Prediction via Assumed Modes
    7. 5.7 Flutter Boundary Characteristics
    8. 5.8 Structural Dynamics, Aeroelasticity, and Certification
      1. 5.8.1 Ground-Vibration Tests
      2. 5.8.2 Wind Tunnel Flutter Experiments
      3. 5.8.3 Ground Roll (Taxi) and Flight Tests
      4. 5.8.4 Flutter Flight Tests
    9. 5.9 Epilogue
      1. Problems
  14. Appendix A: Lagrange’s Equations
    1. A.1 Introduction
    2. A.2 Degrees of Freedom
    3. A.3 Generalized Coordinates
    4. A.4 Lagrange’s Equations
    5. A.5 Lagrange’s Equations for Conservative Systems
    6. A.6 Lagrange’s Equations for Nonconservative Systems
  15. References
  16. Index