Single-Course Dansk 5 ECTS

# Dynamics

## Overall Course Objectives

To provide the student with a fundamental understanding of phenomena related to dynamics of rigid bodies and mechanical vibrations.

See course description in Danish

Learning Objectives

• Draw free-body and kinetic diagrams for plane motion of rigid bodies.
• Apply vector-description for plane motion of rigid bodies in inertial and non-inertial coordinate systems.
• State the general plane equations of motion for rigid bodies and systems of rigid bodies and determine linear and angular accelerations.
• Find center of gravity and mass moment of inertia for simple bodies.
• Use the principle of linear momentum conservation to solve simple 1D impact problems.
• Apply the principle of linear momentum conservation for rigid bodies and systems of particles.
• Apply the principle of angular momentum conservation for rigid bodies and systems of particles.
• Determine the natural frequency and damping ratio for systems with one degree-of-freedom.
• Find the response of damped and undamped systems with one degree-of-freedom subjected to a harmonic load.
• Determine work and power of external forces and couples.
• Apply work-energy relations for plane motion of rigid bodies.
• Use the energy method to set up the general equations of motion for particles and rigid bodies.

Course Content

1D impact. Vector description of rigid body kinematics. Kinetic energy, linear and angular momentum for rigid bodies and systems of particles. General equations of motion. Work and power. Work-energy relations. Conservation principles for linear and angular momentum and energy. Vibrations of systems with one degree-of-freedom; undamped and damped free vibrations; forced vibrations, frequency response and resonance; energy methods.

Recommended prerequisites

62675/01901, Statics and particle dynamics.
Basic course in calculus and algebra.

Teaching Method

Lectures, problem solving.

Faculty

Remarks

Section of Mechanical Technology
Mechanical Engineering: 3. semester

See course in the course database.

## Registration

Language Dansk 13 weeks Engineering Technology DTU Ballerup Campus 62694 Graduate Engineer Week 36 Week 49 Tues 8-12
Price 9.250,00 DKK