CSE07: The Mathematics of deformable body mechanics (5 ECTS)

STADS: 2201501

Level


Teaching period

Spring semester.

Teacher responsible
Email: ivb@mip.sdu.dk

Timetable
There is no timetable available for the chosen semester.

Prerequisites:
None

Academic preconditions:
The content of CSE01 must be known.

Course introduction
To familiarize the student with the fundamental mathematics and physical concepts of the mechanics of deformable bodies in the view of the engineering applications. Combined with the knowledge achieved in the course of analog electronics and the connected projects, the student get the necessary competence for developing simple electromechanical systems. Furthermore, the student will learn about partial differential equations, the Fourier Transform and the vector analysis. These topics will be introduced as they are applied in physics and engineering.

Expected learning outcome


Subject overview
Static elastic deformations

Hook’s law
Longitudinal forces to a rod
Suspended structures

Latices

Beam bending

Tensors for strain and stress

Dynamics

Mathematical tools

Partial differential equations

The separation method

The Fourier transform

The vibrating string finite and infinite length
String with discontinuities
Torsional vibrations of rods
Transverse vibrations of rods
Column instabilities
Differential equation of motion

Friction

Friction between solid bodies

Gasses and liquids

Friction of rigid bodies in gasses and liquids
Sound (waves, behavior at interfaces)
In perspective: hydrodynamics

Literature

Oplyses ved kursets start

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
a) Written examination b) Approved compulsory individual project, handled in during the semester.

Approved compulsory individual project (passed/not passed) which accounts for 1 ECTS of the 5 ECTS, internal evaluation by teacher. The compulsory assignments are included in the 1st year exam.

Written examination for the 4 ECTS, internal evaluation, marks according to the 13-point marking scale.

Expected working hours
The teaching method is based on three phase model.

Tre timers forelæsninger og fire timers øvelser pr. uge. Undervisningen er samordnet med undervisningen i analog elektronik 2. Endvidere er undervisningen tæt integreret med Tema 2- projektet, hvor elektroniske og elektromekaniske systemer vil blive studeret. Således vil en væsentlig del af kursets indhold blive behandlet i projektet.
Educational activities

Language
No recorded information about the language used in the course.

Remarks
The course is compulsory for bachelor students in computer systems engineering.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.