Advanced DynamicsAdvanced Dynamics

  • Mechanical EngineeringMechanical Engineering |

Description

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.

Program

M.Sc. in Mechanical Engineering

Objectives

  • The aim of this course is to present the dynamics of particles and rigid bodies in some breadth, with examples illustrating the strengths and weaknesses of the various methods of dynamical analysis. In the course there is some emphasis on systems of great generality. Geometrical approaches are used to illustrate the nature of constraints.

Textbook

Data will be available soon!

Course Content

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

Markets and Career

  • Generation, transmission, distribution and utilization of electrical power for public and private sectors to secure both continuous and emergency demands.
  • Electrical power feeding for civil and military marine and aviation utilities.
  • Electrical works in construction engineering.

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