Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Symbols
- 1 Introduction
- 2 The Nonstationary Atmosphere
- 3 Dynamics of Elastically Supported Rigid Airfoils
- 4 Dynamics of Rigid Aircraft in a Nonstationary Atmosphere
- 5 Dynamics of Flexible Aircraft with Quasi-Steady Deformations
- 6 Dynamics of Flexible Aircraft with Small-Amplitude Vibrations
- 7 Time-Domain Unsteady Aerodynamics for Low-Speed Flight
- 8 Geometrically Nonlinear Composite Beams
- 9 Dynamics of Very Flexible Aircraft
- 10 Feedback Control
- Experimental Testing
- Appendix A The Fourier Transform
- Appendix B Von Kármán Model for Isotropic Turbulence
- Appendix C Finite Rotations
- References
- Index
6 - Dynamics of Flexible Aircraft with Small-Amplitude Vibrations
Published online by Cambridge University Press: 29 June 2023
- Frontmatter
- Dedication
- Contents
- Preface
- Symbols
- 1 Introduction
- 2 The Nonstationary Atmosphere
- 3 Dynamics of Elastically Supported Rigid Airfoils
- 4 Dynamics of Rigid Aircraft in a Nonstationary Atmosphere
- 5 Dynamics of Flexible Aircraft with Quasi-Steady Deformations
- 6 Dynamics of Flexible Aircraft with Small-Amplitude Vibrations
- 7 Time-Domain Unsteady Aerodynamics for Low-Speed Flight
- 8 Geometrically Nonlinear Composite Beams
- 9 Dynamics of Very Flexible Aircraft
- 10 Feedback Control
- Experimental Testing
- Appendix A The Fourier Transform
- Appendix B Von Kármán Model for Isotropic Turbulence
- Appendix C Finite Rotations
- References
- Index
Summary
The dynamic interactions between aeroelasticity and flight dynamics are discussed, under the assumption of small-amplitude vibrations of the elastic aircraft. Firstly, the equations of the dynamics of a flexible aircraft are described using quasi-coordinates. Linear normal modes are then defined, and used to project the dynamics of the flexible aircraft. Next, linear methods for unsteady aerodynamics are introduced with a particular focus in the doublet-lattice method. The linear dynamic response of the aircraft is finally assembled using rational-function approximations of the frequency-domain aerodynamics.
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- Dynamics of Flexible AircraftCoupled Flight Mechanics, Aeroelasticity, and Control, pp. 209 - 276Publisher: Cambridge University PressPrint publication year: 2023