AE1006 VIBRATIONS AND AEROELASTICITY 3 0 0 100
OBJECTIVE
To study the dynamic behaviour of different aircraft components and the interaction among the aerodynamic, elastic and inertia forces
1. BASIC NOTIONS 8
Simple harmonic motion – Terminologies – Newton’s Law – D’ Alembert’s principle – Energy
Methods
2. SINGLE DEGREE OF FREEDOM SYSTEMS 12
Free vibrations – Damped vibrations – Forced Vibrations, with and without damping – support excitation – Vibration measuring instruments.
3. MULTI DEGREES OF FREEDOM SYSTEMS 10
Two degrees of freedom systems – Static and Dynamic couplings vibration absorber- Principal co- ordinates, Principal modes and orthogonal condition – Eigen value problems.
Hamilton’s principle- Lagrangean equation and application – Vibration of elastic bodies- Vibration of strings- Longitudinal, Lateral and Torsional vibrations.
4. APPROXIMATE METHODS 5
Rayleigh’s and Holzer Methods to find natural frequencies.
5. ELEMENTS OF AEROELASTICITY 10
Concepts – Coupling – Aero elastic instabilities and their prevention – Basic ideas on wing divergence, loss and reversal of aileron control – Flutter and its prevention.
TOTAL : 45
TEXT BOOKS
TIMOSHENKO S., “Vibration Problems in Engineering”– John Wiley and Sons, New York, 1993.
FUNG Y.C., “An Introduction to the Theory of Aeroelasticity” – John Wiley & Sons, New York, 1995.
REFERENCES
BISPLINGHOFF R.L., ASHELY H and HOGMAN R.L., “Aeroelasticity” – Addision Wesley Publication, New York, 1983.
TSE. F.S., MORSE, I.F., HUNKLE, R.T., “Mechanical Vibrations”, – Prentice Hall, New York, 1984.
SCANLAN R.H. & ROSENBAUM R., “Introduction to the study of Aircraft Vibration & Flutter”, John Wiley and Sons. New York, 1982.
BENSON H.TONGUE, “Principles of Vibration”, Oxford University Press, 2000.
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