Structural Dynamics in Aeronautical Engineering.

Cover -- Title -- Copyright -- Table of Contents -- Preface -- Chapter 1. Matrix Algebra and Techniques -- 1.1 Notations and Definitions -- 1.2 Matrix Algebra -- 1.3 Differentiation and Integration of Matrices -- 1.4 Transformations -- 1.5 Solution of Large Systems of Linear Equations -- 1.6 The Eigenvalue Problem -- References -- Problems -- Chapter 2. Single-Degree-of-Freedom Linear Systems -- 2.1 Equation of Motion -- 2.2 Free Vibration -- 2.3 Response to Harmonic Excitation -- 2.4 Response to an Impulsive Excitation -- 2.5 Response to a Step Excitation -- 2.6 Response to Periodic Excitation (Fourier Series) -- 2.7 Response to Aperiodic Excitation (Fourier Transform) -- 2.8 Laplace Transform (Transfer Function) -- Problems -- Chapter 3. Multidegree-of-Freedom Linear Systems -- 3.1 Equations of Motion -- 3.2 Free Vibration: The Eigenvalue Problem -- 3.3 Response to an External Applied Load -- 3.4 Damping Effect -- 3.5 Applications -- References -- Problems -- Chapter 4. Dynamics of Continuous Elastic Bodies -- 4.1 Introduction -- 4.2 Slender Beams -- 4.3 Flat Plates -- 4.4 Shell Structures -- 4.5 Response to Initial Conditions -- 4.6 Response to External Excitations -- References -- Problems -- Chapter 5. Nonlinear Systems -- 5.1 Introduction -- 5.2 Simple Examples of Nonlinear Systems -- 5.3 Physical Properties of Nonlinear Systems -- 5.4 Solutions of the Equation of Motion of a Single-Degree-of-Freedom Nonlinear System -- 5.5 Multidegree-of-Freedom Nonlinear Systems -- References -- Problems -- Chapter 6. Random Vibrations -- 6.1 Introduction -- 6.2 Classification of Random Processes -- 6.3 Probability Distribution and Density Functions -- 6.4 Description of the Mean Values in Terms of the Probability Density Function -- 6.5 Properties of the Autocorrelation Function -- 6.6 Power Spectral Density Function.

6.7 Properties of the Power Spectral Density Function -- 6.8 White Noise and Narrow and Large Bandwidth -- 6.9 Single-Degree-of-Freedom Response -- 6.10 Response to a White Noise -- 6.11 Multidegree-of-Freedom Systems -- References -- Problems -- Chapter 7. The Typical Section in Aeroelasticity -- 7.1 Single-Degree-of-Freedom Stability -- 7.2 The Typical Section -- 7.3 Typical Section Using Unsteady Linearized Potential Theory -- 7.4 Typical Section with Control Surface -- 7.5 Control Surface Reversal and Efficiency -- References -- Problems -- Chapter 8. Aeroelasticity of Flight Vehicles -- 8.1 Introduction -- 8.2 Problem Formulation -- 8.3 Incremental Nonstationary Aerodynamic Loads -- 8.4 Modal Transformation -- 8.5 Solution of the Aeroelastic Stability Equations -- 8.6 Applications -- 8.7 Optimization to Satisfy Flutter Requirements -- References -- Chapter 9. Aeroelasticity of Plates and Shells -- 9.1 Introduction -- 9.2 Flat Plates -- 9.3 Effect of Prestress -- 9.4 Curved Panels -- 9.5 Laminated Fiber-Reinforced Shallow Shells -- 9.6 Shells of Revolution -- 9.7 Damping in Aeroelasticity of Plates and Shells -- 9.8 Nonlinear Models -- References -- Index -- A -- C -- D -- E -- F -- G -- H -- I -- L -- M -- N -- P -- R -- S -- T -- U -- V -- W.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.