41970 E-kursus Stokastisk dynamik

2024/2025

E-kursus
Kursusinformation
E-course in Random Vibrations
Engelsk
5
Kandidat
Kurset udbydes som enkeltfag
August
Campus Lyngby
Ingen klasse-undervisning, selvstudie, mulighed for at stille spørgsmål under de ugentlige møder og webinare. Møde/Webinar: tirsdage 14.00-15.00 og torsdage 14.00-15.00. (Dansktid, CET)
E-kursus med ugentlige møder med parallelt webinar og selvstudie. Gruppe arbejde, regneopgaver og problemstillinger, computer simuleringer, portfolio, projekt rapport.
3-uger
Sidste dag(e) i 3-ugersperioden
Bedømmelse af opgave(r)/rapport(er)
En individuel rapport.
Alle hjælpemidler - med adgang til internettet
bestået/ikke bestået , intern bedømmelse
11300
11300
41035/41214/11374 , Eller tilsvarende
Maksimum: 100
Sandro Diord Rescinho Amador , Tlf. (+45) 4525 1829 , sdio@dtu.dk
Hans Holger Hundborg Koss , Lyngby Campus, Bygning 118, Tlf. (+45) 4525 1655 , hoko@dtu.dk
41 Institut for Byggeri og Mekanisk Teknologi
I studieplanlæggeren

Tilmelding for studerende udenfor DTU skal foregå under Open University.
Overordnede kursusmål
Main objective is to give the student a general understanding of the dynamic response of structures loaded by random loadings like, wind, waves, traffic etc. The focus of the course is on understanding why the response is nearly always normal distributed, and that this naturally leads to the use of correlation functions and spectral densities, and how these quantities should be understood and estimated from real data. The course is based on exercises in Matlab.
Læringsmål
En studerende, der fuldt ud har opfyldt kursets mål, vil kunne:
  • Define and estimate probabilistic quantities like mean values and variances from response data
  • Define correlation and explain how the concept can be used to extract physical information
  • Define auto-correlation and cross-correlation functions and explain how they can be used to extract physical information
  • Use numerical methods to estimate auto-correlation and cross-correlation functions
  • Explain classical Fourier transforms and use digital Fourier transforms to process response data in Matlab
  • Define spectral density functions and explain how they can be used to extract physical information
  • Use numerical methods to estimate spectral density functions
  • Outline and describe the concept of linear systems and use Matlab to perform simple response simulations
Kursusindhold
1. Probalistic description of random responses
2. Correlation and auto correlation functions
3. Cross correlation functions
4. Physical meaning of correlations functions
5. Fourier series and Fourier integral
6. Digital Fourier series
7. Auto spectral density
8. Cross spectral density
9. Response of linear systems
10. Course overview
Litteraturhenvisninger
Newland, David Edward. An introduction to random vibrations, spectral & wavelet analysis. Courier Corporation, 2012.

Brincker, Rune, and Carlos Ventura. Introduction to operational modal analysis. John Wiley & Sons, 2015. (tilgængelig for gratis download for DTU studerende)
Sidst opdateret
02. maj, 2024