AO4005 Structural Dynamics Syllabus:
AO4005 Structural Dynamics Syllabus – Anna University PG Syllabus Regulation 2021
COURSE OBJECTIVES:
1. This course imparts knowledge on the force deflection properties of structures and natural modes of vibration.
2. This course also presents the principles of dynamics and energy methods pertaining to structures.
3. This course will make students to realise the importance of natural modes of vibration.
4. This course will provide in-depth knowledge on natural vibrations of beams and plates.
5. This course also provides a platform for better understanding of the approximate methods for aerospace structures.
UNIT I FORCE DEFLECTION PROPERTIES OF SYSTEMS
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 beams and 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:
At the end of this course, students will
CO1: Be able to solve the equation of motion of a linear system and use this solution to analyse the vibrational behaviour of the system.
CO2: Be capable to relate the results of a modal analysis relate to the vibration of a structure.
CO3: Acquire knowledge on equation of motion of a lumped MDOF mass-spring-damper system.
CO4: Have knowledge on vibration characteristics ofcontinuous system such as strings, bar, shafts andbeams.
CO5: Be able to assess the fundamental frequency of MDOF systems using approximate methods.
REFERENCES:
1. Hurty,WC and Rubinstein,MF,“Dynamics of Structures”, Prentice Hall of India Pvt.Ltd.,New Delhi 1987.
2. Ramamurthi,V, “Mechanical Vibration Practice and Noise Control”, Narosa Publishing House Pvt. Ltd, 2008.
3. Timoshenko,SP and Young,DH,“Vibration Problems in Engineering”, John Willey & Sons Inc., 1984.
4. Tse.FS, Morse, IE and Hinkle,HT,“Mechanical Vibrations: Theory and Applications”, Prentice Hall of India Pvt. Ltd, New Delhi, 2004.
5. Vierck,RK,“Vibration Analysis”, 2ndEdition, Thomas Y. Crowell/ Harper & Row Publishers, New York, U.S.A. 1989.