Subject Code: CE6L301 Name:  Dynamics of Structures L-T-P: 3-1-0 Credit: 4
Prerequisite: None
Single-degree-freedom systems: undamped and damped free vibration; Response to harmonic and periodic excitations; Response to non-periodic excitations; Numerical evaluation of dynamic response; Generalized single-degree-freedom systems. Elements of analytical dynamics: The principle of virtual work; Principle of D Alembert; Hamiltons principle; Lagrange’s equation. Multi-degree-freedom systems: Equation of motion; undamped free vibration; Interpretation of modal orthogonality; Decomposition of response in terms of modal co-ordinates; Modal analysis; Response to external excitations; Rayleigh s quotient and its properties; Systems with proportional damping; Systems with arbitrary viscous damping. Distributed parameter systems: axial and bending vibration of beams; orthogonality of modes; Response to external excitations; Rayleigh s quotient; Approximate methods. Earthquake response of linear systems: Earthquake excitations; Equations of motion; Response spectrum concept; Response spectrum characteristics; Design response spectrum; Modal analysis; Displacement response; Element forces; Modal response contribution; Response history analysis; Response spectrum analysis. Introduction to Random Vibration; Stationary and non-stationery random processes; Ergodic random processes. Narrow band and wide band random processes; Properties of Autocorrelation and Power spectral density functions; Response to arbitrary excitation by Fourier transform method.
Text/ Reference Books:
  1. Chopra, A.K., Dynamics of Structures: Theory and Applications to Earthquake Engineering, Prentice Hall/Pearson Education
  2. Clough, R.W. and Penzien, J., Dynamics of structures, McGraw Hill, Inc., New York
  3. Craig, R.R., Structural Dynamics: An Introduction to Computer Methods, Wiley New York
  4. Meriovitch, L., Elements of vibration analysis, McGraw-Hill       
  5. Rao, S.S., Mechanical Vibrations, Pearson
  6. Thomson, W.T., Theory of Vibration with Application, CRC Press
  7. Newland, D.E., An Introduction to Random Vibrations, Spectral and Wavelet Analysis, Courier Dover Publications