AE2403 VIBRATIONS AND ELEMENTS OF AEROELASTICITY
OBJECTIVE
To study the dynamic behaviour of different aircraft components and the interaction among the aerodynamic, elastic and inertia forces
UNIT I BASIC NOTIONS 8
Simple harmonic motion – Terminologies – Newton’s Law – D’ Alembert’s principle – Energy Methods
UNIT II SINGLE DEGREE OF FREEDOM SYSTEMS 12
Free vibrations – Damped vibrations – Forced Vibrations, with and without damping –
support excitation – Vibration measuring instruments.
UNIT III 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.
UNIT IV APPROXIMATE METHODS 5
Rayleigh’s and Holzer Methods to find natural frequencies.
UNIT V 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.
TEXT BOOKS
TOTAL: 45 PERIODS
1. Timoshenko S., “Vibration Problems in Engineering”– John Wiley and Sons, New
York, 1993.
2. Fung Y.C., “An Introduction to the Theory of Aeroelasticity” – John Wiley & Sons, New York, 1995.
REFERENCES
1. Bisplinghoff R.L., Ashley H and Hoffman R.L., “Aeroelasticity” – Addision Wesley
Publication, New York, 1983.
2. Tse. F.S., Morse, I.F., Hinkle, R.T., “Mechanical Vibrations”, – Prentice Hall, New
York, 1984.
3. Scanlan R.H. & Rosenbaum R., “Introduction to the study of Aircraft Vibration &
Flutter”, John Wiley and Sons. New York, 1982.
4. Tongue. B. H., “Principles of Vibration”, Oxford University Press, 2000.
OBJECTIVE
To study the dynamic behaviour of different aircraft components and the interaction among the aerodynamic, elastic and inertia forces
UNIT I BASIC NOTIONS 8
Simple harmonic motion – Terminologies – Newton’s Law – D’ Alembert’s principle – Energy Methods
UNIT II SINGLE DEGREE OF FREEDOM SYSTEMS 12
Free vibrations – Damped vibrations – Forced Vibrations, with and without damping –
support excitation – Vibration measuring instruments.
UNIT III 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.
UNIT IV APPROXIMATE METHODS 5
Rayleigh’s and Holzer Methods to find natural frequencies.
UNIT V 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.
TEXT BOOKS
TOTAL: 45 PERIODS
1. Timoshenko S., “Vibration Problems in Engineering”– John Wiley and Sons, New
York, 1993.
2. Fung Y.C., “An Introduction to the Theory of Aeroelasticity” – John Wiley & Sons, New York, 1995.
REFERENCES
1. Bisplinghoff R.L., Ashley H and Hoffman R.L., “Aeroelasticity” – Addision Wesley
Publication, New York, 1983.
2. Tse. F.S., Morse, I.F., Hinkle, R.T., “Mechanical Vibrations”, – Prentice Hall, New
York, 1984.
3. Scanlan R.H. & Rosenbaum R., “Introduction to the study of Aircraft Vibration &
Flutter”, John Wiley and Sons. New York, 1982.
4. Tongue. B. H., “Principles of Vibration”, Oxford University Press, 2000.
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