AE 9314 THEORY OF VIBRATIONS SYLLABUS | ANNA UNIVERSITY ME AERONAUTICAL ENGINEERING 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER ME AERONAUTICAL ENGINEERING DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,PREVIOUS YEAR QUESTION PAPERS,MODEL QUESTION PAPERS, CLASS NOTES, IMPORTANT 2 MARKS, 8 MARKS, 16 MARKS TOPICS. IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI, TIRUNELVELI,COIMBATORE), 2009 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
AE 9314 THEORY OF VIBRATIONS L T P C
3 0 0 3
OBJECTIVE
To study the dynamic behaviour of different aircraft components and the interaction
among the aerodynamic, elastic and inertia forces
UNIT I SINGLE DEGREE OF FREEDOM SYSTEMS 8
Simple harmonic motion, definition of terminologies, Newton’s Laws, D’Alembert’s
principle, Energy methods. Free vibrations, free damped vibrations, and forced
vibrations with and without damping, base excitation, and vibration measuring
instruments.
7
UNIT II MULTI-DEGREES OF FREEDOM SYSTEMS 12
Two degrees of freedom systems, Static and dynamic couplings, eigen values, eigen
vectors and orthogonality conditions of eigen vectors, Vibration absorber, Principal
coordinates, Principal modes. Hamilton’s Principle, Lagrangean equation and their
applications.
UNIT III VIBRATION OF ELASTIC BODIES 10
Transverse vibrations of strings, Longitudinal, Lateral and Torsional vibrations.
Approximate methods for calculating natural frequencies.
UNIT IV EIGEN VALUE PROBLEMS & DYNAMIC RESPONSE OF
LARGE SYSTEMS 10
Eigen value extraction methods – Subspace hydration method, Lanczos method –
Eigen value reduction method – Dynamic response of large systems – Implicit and
explicit methods.
UNIT V ELEMENTS OF AEROELASTICITY 5
Aeroelastic problems – Collar’s triangle of forces – Wing divergence – Aileron control
reversal – Flutter.
L : 45, TOTAL NUMBER OF PERIODS: 45
TEXT BOOKS
1. Timoshenko, S. “Vibration Problems in Engineering”, John Wiley & Sons, Inc.,
1987.
2. Meirovitch, L. “Elements of Vibration Analysis”, McGraw-Hill Inc., 1986.
3. Thomson W.T, Marie Dillon Dahleh, “Theory of Vibrations with Applications”,
Prentice Hall, 1997
REFERENCES
1. F.S. Tse., I.F. Morse and R.T. Hinkle, “Mechanical Vibrations”, Prentice-Hall of India,
1985.
2. Rao.J.S. and Gupta.K. “Theory and Practice of Mechanical Vibrations”, Wiley
Eastern Ltd., New Delhi, 1999.
3. Fung, Y.C., “An Introduction to the Theory of Aeroelasticity”, John Wiley & Sons Inc.,
New York, 1985.
AE 9314 THEORY OF VIBRATIONS L T P C
3 0 0 3
OBJECTIVE
To study the dynamic behaviour of different aircraft components and the interaction
among the aerodynamic, elastic and inertia forces
UNIT I SINGLE DEGREE OF FREEDOM SYSTEMS 8
Simple harmonic motion, definition of terminologies, Newton’s Laws, D’Alembert’s
principle, Energy methods. Free vibrations, free damped vibrations, and forced
vibrations with and without damping, base excitation, and vibration measuring
instruments.
7
UNIT II MULTI-DEGREES OF FREEDOM SYSTEMS 12
Two degrees of freedom systems, Static and dynamic couplings, eigen values, eigen
vectors and orthogonality conditions of eigen vectors, Vibration absorber, Principal
coordinates, Principal modes. Hamilton’s Principle, Lagrangean equation and their
applications.
UNIT III VIBRATION OF ELASTIC BODIES 10
Transverse vibrations of strings, Longitudinal, Lateral and Torsional vibrations.
Approximate methods for calculating natural frequencies.
UNIT IV EIGEN VALUE PROBLEMS & DYNAMIC RESPONSE OF
LARGE SYSTEMS 10
Eigen value extraction methods – Subspace hydration method, Lanczos method –
Eigen value reduction method – Dynamic response of large systems – Implicit and
explicit methods.
UNIT V ELEMENTS OF AEROELASTICITY 5
Aeroelastic problems – Collar’s triangle of forces – Wing divergence – Aileron control
reversal – Flutter.
L : 45, TOTAL NUMBER OF PERIODS: 45
TEXT BOOKS
1. Timoshenko, S. “Vibration Problems in Engineering”, John Wiley & Sons, Inc.,
1987.
2. Meirovitch, L. “Elements of Vibration Analysis”, McGraw-Hill Inc., 1986.
3. Thomson W.T, Marie Dillon Dahleh, “Theory of Vibrations with Applications”,
Prentice Hall, 1997
REFERENCES
1. F.S. Tse., I.F. Morse and R.T. Hinkle, “Mechanical Vibrations”, Prentice-Hall of India,
1985.
2. Rao.J.S. and Gupta.K. “Theory and Practice of Mechanical Vibrations”, Wiley
Eastern Ltd., New Delhi, 1999.
3. Fung, Y.C., “An Introduction to the Theory of Aeroelasticity”, John Wiley & Sons Inc.,
New York, 1985.
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