AE3007 Vibration and Aero Elasticity Syllabus:
AE3007 Vibration and Aero Elasticity Syllabus – Anna University Regulation 2021
COURSE OBJECTIVES:
• To study the effect of time dependent forces on mechanical systems and to get the natural characteristics of system of single degree of freedom system
• To study the solving methods of multi degree of freedom systems.
• To introduce the approximates method to solve vibration problems.
• To make the student to understand the solving techniques of vibration of continuous system
• To study the aeroelastic effects of aircraft wings.
UNIT I SINGLE DEGREE OF FREEDOM SYSTEMS
Introduction to simple harmonic motion, D’Alembert’s principle, free vibrations – damped vibrations – forced vibrations, with and without damping – support excitation – transmissibility – vibration measuring instruments.
UNIT II MULTI DEGREE OF FREEDOM SYSTEMS
Two degrees of freedom systems – static and dynamic couplings – vibration absorber- Multi degree of freedom systems – principal co-ordinates – principal modes and orthogonal conditions – Eigen value problems – Hamilton’s principle – Lagrangean equations and application.
UNIT III CONTINUOUS SYSTEMS
Vibration of elastic bodies – Vibration of strings – longitudinal, lateral and torsional vibrations
UNIT IV APPROXIMATE METHODS
Approximate methods – Rayleigh’s method – Dunkerley’s method – Rayleigh-Ritz method- Holzer method – Matrix iteration method.
UNIT V ELEMENTS OF AEROELASTICITY
Vibration due to coupling of bending and torsion – aeroelastic problems – Collars triangle – wing divergence – aileron control reversal – flutter – buffeting. – elements of servo elasticity
COURSE OUTCOMES:
CO1: Solve single and multi-degree vibrating systems
CO2: Distinguish types of vibrations according to dampness and particle motion.
CO3: Solve the different numerical methods to solve continuous system.
CO4: Solve approximate methods to find natural frequency of a system
CO5: Examine Collars Triangle and Aero Elastic Problems
CO6: Examine the effect of Aileron reversal, flutter and wing divergence.
TEXT BOOKS:
1. Grover. G.K., “Mechanical Vibrations”, 7th Edition, Nem Chand Brothers, Roorkee, India, 2003
2. Leonard Meirovitch, “Elements of Vibration Analysis”. McGraw Hill International Edition,2007
3. Thomson W T, ‘Theory of Vibration with Application’ – CBS Publishers, 1990.
REFERENCES:
1. Bisplinghoff R.L., Ashely H and Hogman R.L., “Aeroelasticity”, Addision Wesley Publication, New Tork, 1983.
2. Den Hartog, “Mechanical Vibrations” Crastre Press, 2008.
3. TSE. F.S., Morse, I.F., Hinkle, R.T., “Mechanical Vibrations” – Prentice Hall, New York, 1984.
4. William W Seto, “Mechanical Vibrations” – McGraw Hill, Schaum Series.
5. William Weaver, Stephen P. Timoshenko, Donovan H. Yound, Donovan H. Young. ‘Vibration Problems in Engineering’ – John Wiley and Sons, New York, 2001