Particle dynamics – systems of particles - Lagrange and Hamilton Equations – Impulsive response –Kinematics and Dynamics of rigid bodies - impulsive motion – Differential approach to equations of motion – Integral approach to equations of motion – Transpositional Relations.
M.Sc. in Mechanical Engineering
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| content serial | Description |
|---|---|
| 1 | Introduction to particle dynamics – particle motion. |
| 2 | Systems of particles. |
| 3 | Constraints and configuration on space-work, energy and momentum – impulse response |
| 4 | Lagrange and Hamilton Equationsrnrn |
| 5 | Hamilton’s equation – integrals of motion |
| 6 | Impulsive response – analytical methods |
| 7 | Kinematics and dynamics of rigid bodies – kinematical preliminaries / 7th week evaluation. |
| 8 | Dyadic notation – basic rigid body dynamics |
| 9 | Impulsive motion |
| 10 | Equations of motion: differential approach |
| 11 | Boltzman-Hamel equation – the general dynamical equation – a fundamental equation |
| 12 | The Gibbs-Appell Equation – constraints and energy rates / 12th week evaluation |
| 13 | Equation of motion: Integral approach |
| 14 | Tranpositional relations |
| 15 | Introduction to numerical methods |
| 16 | Final Examination |
| 1 | Introduction to particle dynamics – particle motion. |
| 2 | Systems of particles. |
| 3 | Constraints and configuration on space-work, energy and momentum – impulse response |
| 4 | Lagrange and Hamilton Equationsrnrn |
| 5 | Hamilton’s equation – integrals of motion |
| 6 | Impulsive response – analytical methods |
| 7 | Kinematics and dynamics of rigid bodies – kinematical preliminaries / 7th week evaluation. |
| 8 | Dyadic notation – basic rigid body dynamics |
| 9 | Impulsive motion |
| 10 | Equations of motion: differential approach |
| 11 | Boltzman-Hamel equation – the general dynamical equation – a fundamental equation |
| 12 | The Gibbs-Appell Equation – constraints and energy rates / 12th week evaluation |
| 13 | Equation of motion: Integral approach |
| 14 | Tranpositional relations |
| 15 | Introduction to numerical methods |
| 16 | Final Examination |
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