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Engineering mathematics and dynamics OFF585

The course aims to provide the students with knowledge required in order to establish statistical and probabilistic models associated with uncertainties, as well as formulate and solve the equations of motion for static and dynamic systems in both frequency and time domains.  MATLAB will be introduced. The focus is on application within marine, offshore and subsea technology.


Course description for study year 2021-2022. Please note that changes may occur.

Facts
Course code

OFF585

Credits (ECTS)

10

Semester tution start

Autumn

Number of semesters

1

Exam semester

Autumn

Language of instruction

English

Offered by

Faculty of Science and Technology, Department of Mechanical and Structural Engineering and Materials Science

Learning outcome
The learning outcome includes the following aspects:
  • To have the insights related to properties of various statistical models and their physical applications, and establish statistical models using the principle of statistical inference.
  • To be familiar with different techniques within probabilistic analysis, including Monte Carlo simulations and transformation of variables.
  • To be able to process signals in both frequency and time domains and carry out data analysis including digital filtering and Fourier analysis.
  • To be able to establish the equations of motions for dynamic systems and solve the motions in both frequency and time domains.
  • To understand the important phenomenon in dynamic responses of simple systems, including impact loadings and resonant motions.
  • To be able to solve simple structural truss, beam and frame problems using the finite element procedure.
Content
Properties of various statistical models and their physical applications. Statistical models using the principle of statistical inference. Monte Carlo simulation. Transformation of variables. Signal processing in both frequency and time domains (digital filters, energy estimation, de-trending, finding data errors). Direct stiffness method. Equations of motions for dynamic systems. Impact loading. Vibration and resonance. Programming in MATLAB. Finite element method applied to truss, beam and frame structures with emphasis on its application in engineering problems.
Required prerequisite knowledge
None
Exam
Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours A - F

Coursework requirements
Øvinger

Mandatory exercise submission.

80% of exercises (4 out of 5) must be submitted and approved in order to be eligible to take the exam.

Course teacher(s)
Course coordinator: Muk Chen Ong
Course coordinator: Lin Li
Course teacher: Muk Chen Ong
Course teacher: Lin Li
Course teacher: Yihan Xing
Course coordinator: Lin Li
Course coordinator: Lin Li
Course teacher: Charlotte Obhrai
Course coordinator: Muk Chen Ong
Head of Department: Tor Henning Hemmingsen
Method of work
6 hour lecture per week and 5 mandatory exercises.
Open for
Marine- and Offshore Technology - Master's Degree Programme
Literature
Search for literature in Leganto