Dynamics

Basics. Kinematics. Kinetics. Inertial frame of reference. Plane motion. Polar coordinates. Tangential and normal acceleration. Work and energy. Impulse. Impact. Dynamics of bodies. Rotation about a fixed axis. Rotation about a fixed point. Moment of inertia. Equation of work. Two dimensional problems. Three-dimensional problems. Plan movement. Kinematics. Law of moments. Kinetics. Laws of impulse and momentum. System of bodies. Work and energy. Relative movement. General rigid-body kinematics. General rigid-body kinetics. Vibration theory. Free oscillations without damping. Damped free oscillations. Induced vibrations. Resonance.

The course shall give basic knowledge in the dynamics of a system that may consist of springs, dampers and rigid bodies. Moreover, the course provides a basis for advanced courses in dynamics. Dynamics has the following learning goals:

Knowledge: The candidate will get knowledge of

• Definitions of quantities in dynamics
• Law of forces and moments
• Velocities and accelerations in Cartesian and polar coordinates
• Work and energy principles
• Elastic and plastic impact
• Relative motion
• Vibration theory with one degree of freedom. ​

​​​​​​Skills: The candidate will be able to

• Establish equations for the dynamics in simple systems using kinematics and the basic laws in kinetics
• Solve the equations and evaluate the results.

General competence: The candidate will have competence in

• Basic principles in dynamics
• Perform simple calculations by hand within the framework of the curriculum of the course.
• Be able to use physical insight to analyze and solve statics and strength of materials problems within the framework of the syllabus of the course.

Digital competence: Certain mandatory exercises will involve computational tools such as Python or Mathematica.

Sustainability competence: A solid understanding of dynamics is a requirement for design of structures exposed to dynamic loads, e.g. to avoid collapse caused by resonant vibrations.

Lectures and mandatory calculation exercises. Access to the exam requires that 2/3 of the calculation exercises have to be approved.