Kinematics of Particles: Representation of motion of particles in various coordinate systems, relative motion in translating frames, constrained motion; Kinetics of particles: Newtons second law, equations of motion for unconstrained and constrained motion, work-energy relation, conservation of energy, conservative and non-conservative forces, potential energy, impulse-momentum relation, angular momentum, conservation of momentum, d’Alemberts principle. Applications: central force motion, impact. Kinetics of a system of particles: Newtons second law, work-energy relation, impulse-momentum relations, conservation laws, steady and variable mass flow systems; Plane kinematics of rigid bodies: Kinematics of rigid bodies, instantaneous center of rotation, kinematics in rotating frames and relative motion; Plane kinetics of rigid bodies: Linear and angular momentum, equations of motion, work-energy relation, impulse-momentum relation, conservation laws; Introduction to spatial dynamics of rigid bodies: Kinematics in rotating frames and relative motion, angular momentum, kinetic energy, equations of motion, special cases of parallel-plane motion, and gyroscopic motion.
Dynamics of Machinery: Balancing- Static unbalance, Dynamic unbalance, Dynamic balancing, Field balancing, Balancing of single cylinder and multicylinder Engines, analytical technique for balancing multicylinder reciprocating engines. Governors- Classification, Centrifugal and inertia governors, Terminology used in Governors- Height, equilibrium speed, Hunting, isochronism, stability, sensitiveness. Gyroscopes- Gyroscopic Action in Machines: Angular velocity and acceleration, gyroscopic torque and couple, gyroscopic effect on naval ships Vibration- Free Vibration of SDOF Systems: Basic concepts; undamped translational system; Rayleigh’s energy method; free vibration with viscous damping. Harmonically Excited Vibration: Equation of motion; undamped response; magnification factor; damped response; energy dissipation. |
Text/Reference Books:
- Beer F.P., and Johnston Jr. E.R., Vector Mechanics for Engineers: Dynamics, McGraw-Hill Book Company Inc.
- Kraige L.G., and Meriam J.L., Engineering Mechanics - Dynamics, Wiley.
- Hibbeler R.C., Engineering Mechanics - Dynamics, New Jersey: Pearson Prentice Hall.
- Norton R.L., Design of Machinery, McGraw-Hill.
- Myszka D.H., Machines and Mechanisms : Applied Kinematic Analysis, Prentice Hall.
- Bevan T., Theory of Machines, CBS Publishers & Distributors, Delhi.
- Shigley J.E., and Uicker J.J., Theory of Machines and Mechanisms, McGraw Hill, Inc.
- Ghosh A., and Malik A.K., Theory of Machines and Mechanism, East-West Press.
- Wilson C.E., and Sandler J.P., Kinematics and Dynamics of Machinery, Pearson Education.
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