Revisit to the history of development of mechanics from Galileo to Newton. Kinematics of rigid bodies - coordinate transformation, angular velocity vector, description of velocity and acceleration in relatively moving frames. Euler angles, Review of methods of momentum and angular momentum of system of particles, inertia tensor of rigid body. Dynamics of rigid bodies - Euler's equation, application to motion of symmetric tops and gyroscopes and problems of system of bodies.Kinetic energy of a rigid body, virtual displacement and classification of constraints. D’ Alembert’s principle. Introduction to generalized coordinates, derivation of Lagrange's equation from D’ Alembert’s principle.Small oscillations, matrix formulation, Eigen value problem and numerical solutions. Introduction to MAPLE® and MATLAB®, computer generation and solution of equations of motion. Introduction to complex analytic functions, Laplace and Fourier transform. Transfer function and block diagrams, tiMEnd frequency domain system behavior. Root-locus, Bode and Nyquist plots; stability and sensitivity; PID controllers, Phase lag and Phase lead compensation. Analysis of Control systems in state space, pole placement, computer simulation through MATLAB - SIMULINK®.
Recommended Reference Books:
- Methods of Analytical Dynamics - Leonard Meirovitch – Dover.
- Classical Dynamics - Donald T. Greenwood – Dover.
- Advanced Dynamics - Donald T. Greenwood – Cambridge University Press.
- Analytical Mechanics - Herbert Goldstein - Addison Wesley.
- Engineering Mechanics: Dynamics – I. H. Shames, Prentice-Hall of India.
- Dynamics: Theory and Applications - T.R. Kane, David A. Levinson - McGraw-Hill.
- System Dynamics - Katsuhiko Ogata - Pearson Education India.
- Modern Control Theory - William L. Brogan - Prentice Hall.
- Modern Control Engineering - Katsuhiko Ogata - Prentice Hall.
- Control Systems Engineering - Norman S. Nise – Wiley.
- Control System Design: An Introduction to State-Space Methods – B. Friedland – Dover.
- >Feedback and Control for Everyone - P. Albertos Pérez, Pedro Albertos – Springer.
- Automatic Control Systems - Benjamin C. Kuo, FaridGolnaraghi – Wiley.
- A Mathematical Introduction to Control Theory - ShlomoEngelberg - World Scientific Publishing Company.
- Computational Methods in Multibody Dynamics - Farid M. L. Amirouche - Prentice Hall.
- MATLAB® for Control Engineers - Katsuhiko Ogata - Prentice Hall.
- Dynamical Systems with Applications using Maple® - Stephen Lynch - Birkhäuser Boston.
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