The course aims to teach students the basic topic of the subject and to develop the students analytical and problem solving abilities in the following topics : Kinematics of a particle, Kinematics of a rigid body, Kinetics of a particle and for a system of particles, Kinetics of a rigid body, Vibrations, Lagrange’s equations, Hamilton’s principle
# | Title | Description | Hours |
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1 | Kinematics of particles (curvilinear motion) | 3 | |
2 | Kinematics of particles (coordinate systems: Cartesian, normal-tangential systems ) | 3 | |
3 | Kinematics of Rigid Bodies (translation, rotation about an axis, planar kinematics) | 3 | |
4 | Kinematics of Rigid Bodies (General motion, Relative motion) | 3 | |
5 | Dynamics (Kinetics) of particles (mass, force, Newton’s Law) | 3 | |
6 | Dynamics (Kinetics) of particles (Work-Energy, Impulse - Momentum) | 3 | |
7 | Dynamics (Kinetics) of system of particles (Newton’s Law, Work-Energy, Impulse – Momentum) | 3 | |
8 | Dynamics (Kinetics) of Rigid Bodies (planar dynamics, Newton’s Law , Euler’s equations of motion | 3 | |
9 | Dynamics (Kinetics) of Rigid Bodies (Work, Energy, Momentum, Moment of Momentum) | 3 | |
10 | Vibrations (free vibrations of mass spring systems) | 3 | |
11 | Vibrations (Force vibrations of damped systems) | 3 | |
12 | Lagrange Equations , Hamilton’s Principle | 3 | |
13 | Lagrange Equations , Hamilton’s Principle | 3 |
With the successful completion of the course, the students will be able to formulate the equations of motion of a rigid body moving in 2D or 3D space using various methods of analysis. Furthermore, the course is fundamental for further studies in structural dynamics, seismic design and structural control.
Teaching methods | Class presentation. Solution of example problems in the class |
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