AE3009 Aeroelasticity Syllabus:
AE3009 Aeroelasticity Syllabus – Anna University Regulation 2021
COURSE OBJECTIVES:
Of this course are
1. Explain structural concepts such as elastic stiffness, inertia, influence coefficients, elastic axis, and shear center.
2. Describe structural dynamics of wings, including bending and torsion modes of vibration and their associated natural frequencies.
3. Apply aeroelastic concepts of divergence, flutter, lift and roll effectiveness, aileron reversal, and mode coalescence.
4. Knowledge to formulate and derive static and dynamic aeroelastic equations of motion.
5. To Apply Rayleigh-Ritz Method for Approximate continuous aeroelastic systems able to Interpret velocity-damping and velocity-frequency flutter diagrams.
UNIT I AERO ELASTICITY PHENOMENA
Vibration of beams due to coupling between bending and torsion – The aero-elastic triangle of forces – Stability versus response problems – Aeroelasticity in Aircraft Design – Vortex induced vibration – Introduction to aero servo elasticity.
UNIT II DIVERGENCE OF A LIFTING SURFACE
Simple two dimensional idealizations – Strip theory – Fredholm integral equation of the second kind – Exact solutions for simple rectangular wings – Semi rigid assumption and approximate solutions – Generalized coordinates – Successive approximations – Numerical approximations using matrix equations.
UNIT III STEADY STATE AEROELASTIC PROBLEMS
Loss and reversal of aileron control – Critical aileron reversal speed – Aileron efficiency – Semi rigid theory and successive approximations – Lift distributions – Rigid and elastic wings.
UNIT IV FLUTTER ANALYSIS
Non-dimensional parameters – Stiffness criteria Dynamic mass balancing – Modelexperiments – Dimensional similarity – Flutter analysis – Two dimensional thin airfoils in steady incompressible flow – Quasi steady aerodynamic derivatives – Galerkin’s method for critical speed – Stability of distributed motion – Torsion flexure flutter – Solution of the flutter determinant – Methods of determining the critical flutter speeds – Flutter prevention and control.
UNIT V EXAMPLES OF AEROELASTIC PROBLEMS
Galloping of transmission lines and flow induced vibrations of tall slender structures and suspension bridges – Aircraft wing flutter- Vibrational problems in Helicopters.
TOTAL: 45 PERIODS
COURSE OUTCOMES:
Upon completion of this course, Students will be able to
CO1: Formulate and perform classical solutions of aeroelastic problems.
CO2: Calculate divergence of a lifting surface in the aerospace vehicles.
CO3: Formulate aeroelastic equations of motion and use them to derive fundamental relations for aeroelastic analysis.
CO4: Analyze the static aeroelastic instabilities such as divergence, control surface reversal and flutter
CO5: Analyze the aeroelastic problems in civil and mechanical engineering.
TEXT BOOKS:
1. Fung, Y.C. An Introduction to the theory of Aeroelasticity, Dover Publications Inc., 2008.
REFERENCES:
1. Bisplinghoff., R.L. Ashley, H., and Halfman, R.L, “Aeroelasticity” Addison Wesley Publishing Co., Inc. II ed. 1996.
2. Broadbent, E.G., Elementary Theory of Aeroelasticity, Bunhill Publications Ltd, 1986.
3. Blevins R.D, “Flow induced vibrations”, Krieger Pub Co; 2 Reprint editions, 2001.
4. Scanlan, R.H. and Rosenbaum, R., Introduction to the Study of Aircraft Vibration and Flutter, Macmillan Co., N.Y., 1991.