JNTUK B.Tech Vibrations and Structural Dynamics gives you detail information of Vibrations and Structural Dynamics R13 syllabus It will be help full to understand you complete curriculum of the year.
COURSE OBJECTIVES
- To prepare the student to understand the fundamentals of vibrations of various physical models
for single and multi degree freedom systems vibrations. - To make the student apply numerical methods to various physical systems and their response to
- Exposure to vibration measurement of industrial equipment using instruments
- Applications: To acquaint with various practical problems.
UNIT I : INTRODUCTION : Simple harmonic motion, terminology, Newton’s Law, D’Alembert’s Prinicple, Resonance, Introduction to mechanism of damping. Damped and Undamped oscillations. Degrees of freedom. Various mechanisms of damping. Equivalent viscous damping.
UNIT II : Single Degree Of Freedom Systems: Free vibrations, free damped vibrations, forced vibrations with and without damping. Support excitation and vibration measuring instruments. Amplitude and Phase response diagrams. Generalized single degree of freedom systems for continuous structures and computation of K, M and C.
UNIT III : Multi Degree Of Freedom Systems: Two / Three degree of freedom systems, static and dynamic coupling, vibration absorbers, Principal coordinates, Principal modes, Othogonality conditions Hamilton’s Principle, Lagrange’s equation and application. Longintudinal vibration, lateral vibration, torsional vibration of shafts, dynamical equations of equilibria of elastic bodies, natural frequencies and mode shapes determination.
UNIT IV : Methods determining natural frequencies and mode shape. Natural Vibrations of solid continua. Determination of Eigen Values and Eigen modes. Natural frequency of rotating shafts Whirling of shafts. Dynamic balancing of rotating shafts. Dynamic dampers.
UNIT V : Introduction to approximate methods for frequency analysis Rayleigh Ritz method for vibration analysis. Diagonalization of stiffness, mass and damping matrices using orthogonality conditions. Matrices for dynamic analysis. Kinematically consistent Load systems and determination of [K], [M], [C] and [L] matrices. Normalization and formulation of modal equations.
UNIT VI : Steady state response, using fourier analysis for decomposing complex periodie load functions, of modal equations using S-plane representation. Transient response analysis of modal equations using Duhamel’s integrals.
TEXT BOOKS
- R.W. Clough and Penzien, “Dynamics of Structures”. McGraw Hill 2nd Edition 1993
- Mechanical Vibrations by Singiresure.S.Rao, Pearson Education LPE-2004.
- Rao, J.S and Gupta .K., Theory and practice of Mechanical vibrations, Wiley Eastern Ltd., New Delhi, 2002.
REFERENCE BOOKS
- Fug, Y.C., An Introduction to Theory of Aeroelasticity, John Wiley & Sons, NewYork,1984
- Timoshenko, S., Vibration Problems in Engineering, John Wiley and Sons, New York,1987.
- Shock and Vibrations by Harris & Creed Mc-Graw Hill book company, third edition.
- Mechanical Vibrations by S.Grahamkelly- TMH 2004 edition.
- Mechanical Vibrations G.K.Groover, Nemchand and Brothers 2001 edition.
- Vibrations and waves CBS Publishers and Distributors MIT series 1987.
- Scanlon, R.H., & Rosenbaum, R., “Introduction to the Study of Aircraft Vibration & Flutter.” John Wiley and Sons, New York, 1982
COURSE OUTCOMES
- Understand the physical response of the various models of the one degree of freedom systems & multi degree freedom systems with & without damping.
- Analyze the various probes used for measurement of displacement, velocity and accelerations of any vibrating system.
- To able to determine the vibratory response of the various engineering applications such as strings, beams and shafts.
- To get exposure to energy methods
- To impart knowledge of the various physical systems and their vibratory response
For more information about all JNTU updates please stay connected to us on FB and don’t hesitate to ask any questions in the comment.