JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Course Objectives

Nil

• Know the concepts of vibration and single degree of freedom systems.
• Analyze the two Degree and Multi degree of Freedom Systems.
• Understand the interaction among the aerodynamic, elastic and inertia forces.

Course Outcomes:

• To study the dynamic behavior of different aircraft components and the interaction among the aerodynamic, elastic and inertia forces.

UNIT - I

Basic Motions: Simple harmonic motion – Terminologies – Newton’s Law – D’ Alembert’s principle – Energy Methods

UNIT - II

Single Degree of Freedom Systems: Free vibrations – Damped vibrations – Forced Vibrations, with and without damping –support excitation – Vibration measuring instruments.

UNIT - III

Multi Degree of Freedom Systems: 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: Rayleigh’s and Holzer Methods to find natural frequencies.

UNIT - V

Elements of Aeroelasticity: Aeroelastic problems-collar’s triangle of forces-wing divergence-aileron control reversal-flutter.

TEXT BOOKS

• 1. Timoshenko S., “Vibration Problems in Engineering”– John Wiley and Sons,New York, 1993.
• 2. Fung Y.C., “An Introduction to the Theory of Aero elasticity” – John Wiley & Sons, New York, 1995.

REFERENCE BOOKS

• 1. Bisplinghoff R.L., Ashley H and Hoffman R.L., “Aero elasticity” – 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.