## AE6016 - STRUCTURAL DYNAMICS (Syllabus) 2013-regulation Anna University

AE6016

STRUCTURAL DYNAMICS

LPTC

3003

OBJECTIVES:
• To study the effect of periodic and a periodic forces on mechanical systems with matrix approach and also to get the natural characteristics of large sized problems using approximate methods.

UNIT I

FORCE DEFLECTION PROPERTIES OF STRUCTURES

9

Constraints and Generalized coordinates – Virtual work and generalized forces – Force – Deflection influence functions – stiffness and flexibility methods.

UNIT II

PRINCIPLES OF DYNAMICS

9

Free and forced vibrations of systems with finite degrees of freedom – Response to periodic excitation – Impulse Response Function – Convolution Integral

UNIT III

NATURAL MODES OF VIBRATION

9

Equations of motion for Multi degree of freedom Systems - Solution of Eigen value problems – Normal coordinates and orthogonality Conditions. Modal Analysis.

UNIT IV

ENERGY METHODS

9

Rayleigh’s principle – Rayleigh – Ritz method – Coupled natural modes – Effect of rotary inertia and shear on lateral vibrations of beams – Natural vibrations of plates.

UNIT V

APPROXIMATE METHODS

9

Approximate methods of evaluating the Eigen frequencies and eigen vectors by reduced, subspace, Lanczos, Power, Matrix condensation and QR methods.

TOTAL : 45 PERIODS

OUTCOMES:
• Knowing various options of mathematical modeling of structures
• Method of evaluating the response of structures under various dynamically loaded conditions
• Knowledge in natural modes of vibration of structures
• Gaining knowledge in numerical and approxite methods of evaluating natural modes of vibration.

TEXT BOOKS:
1. Tse. F.S., Morse. I.E. and Hinkle. H.T., “Mechanical Vibrations: Theory and Applications” , Prentice Hall of India Pvt. Ltd, New Delhi, 2004.
2. Hurty. W.C. and M.F. Rubinstein, “Dynamics of Structures”, Prentice Hall of India Pvt. Ltd., New Delhi 1987.

REFERENCES
1. Vierck. R.K., “Vibration Analysis”, 2nd Edition, Thomas Y. Crowell & Co Harper & Row Publishers, New York, U.S.A. 1989.
2. Timoshenko. S.P., and D.H. Young, “Vibration Problems in Engineering”, John Willey & Sons Inc., 1984.
3. Ramamurthi. V., “Mechanical Vibration Practice and Noise Control” Narosa Publishing House Pvt. Ltd, 2008