CAE357 Structural Dynamics Syllabus:
CAE357 Structural Dynamics Syllabus – Anna University Regulation 2021
OBJECTIVE:
• To study the effect of periodic and aperiodic forces on mechanical systems
• To learn the natural characteristics of large sized problems using approximate methods.
• To understand the natural frequency of vibrations of the beams and torsional vibrations of systems.
• To introduce the free and forced vibration of systems.
• To acquire knowledge in approximate methods of structural dynamics
UNIT I FORCE DEFLECTION PROPERTIES OF STRUCTURES
Constraints and Generalized coordinates – Virtual work and generalized forces – Force – Deflection influence functions – stiffness and flexibility methods.
UNIT II PRINCIPLES OF DYNAMICS
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
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
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
Approximate methods of evaluating the Eigen frequencies and eigen vectors by reduced, subspace, Lanczos, Power, Matrix condensation and QR methods.
TOTAL: 45 PERIODS
COURSE OUTCOMES:
Students will be able to
CO1: Determine the various options of mathematical modelling of structures
CO2: Evaluate the response of structures under various dynamically loaded conditions
CO3: Explain the natural modes of vibration of structures
CO4: Interpret the knowledge in numerical and approximate methods of evaluating natural modes of vibration.
CO5: Justify the natural frequencies and mode shapes of a multi degree of freedom system
TEXT BOOKS:
1. Hurty. W.C. and M.F. Rubinstein, “Dynamics of Structures”, Prentice Hall of India Pvt. Ltd., New Delhi 1987.
2. Tse. F.S., Morse. I.E. and Hinkle. H.T., “Mechanical Vibrations: Theory and Applications” , Prentice Hall of India Pvt. Ltd, New Delhi, 2004.
REFERENCES:
1. Ramamurthi. V., “Mechanical Vibration Practice and Noise Control” Narosa Publishing House Pvt. Ltd, 2008
2. Timoshenko. S.P., and D.H. Young, “Vibration Problems in Engineering”, John Willey & SonsInc., 1984.
3. Vierck. R.K., “Vibration Analysis”, 2nd Edition, Thomas Y. Crowell & Co Harper & Row Publishers, New York, U.S.A. 1989.