Entry requirements

Several Variable Calculus. Applied Mechanics II/Mechanics II.

Learning outcomes

On completion of the course, the student should be able to:

• apply the theory of rigid body's three-dimensional mechanics based on Euler's laws emphasizing axisymmetric rotational structures,
• analyse dynamics by setting up and analysing models for the movement of different objects mathematically, experimentally or by simulation,
• analyse the significance of eigen-frequencies on dynamic processes and coupled oscillations and explain how natural frequencies can be modified in a design,
• briefly describe various methods of controlling mechanical systems,
• briefly describe some relevant machine elements,
• perform simulations and physical experiments as well as verbally and in writing explain and defend the results.

Content

Three-dimensional motion of mechanical systems. Accelerating reference systems. Eulers laws for rigid bodies. Introduction to friction losses. Briefly about Lagrange's equations and minimizations. Coupled oscillations, for example caused by the elasticity of a rotary shaft. Rotordynamics. Analysis of eigen-frequencies and revolutions with Campbell Diagram. Induction in generators and motors, and its effect on mechanical properties. Introduction to machine elements (for example joints and axes), material selection and control of dynamic systems. Introduction to Robotic Mechanics with 3D motion control. Variables for describing rigid body motion (Euler angles, quaternions).

Instruction

Lectures, lesson exercises, laboratory exercises. Guest lecture or study visit illustrating current developments in mechanics (3D printers, "robotized" systems, etc.).

Exercise with multiphysics simulation tool.

Laboratory with industrial robot.

Laboratory with accelerating reference systems.

Assessment

Lab report with oral and written presentation (2 credits), written exam (3 credits).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.