Course - Dynamic Response to Irregular Loadings - TBA4275
TBA4275 - Dynamic Response to Irregular Loadings
About
Examination arrangement
Examination arrangement: Written examination
Grade: Letters
Evaluation | Weighting | Duration | Grade deviation | Examination aids |
---|---|---|---|---|
Written examination | 100/100 | 4 timer |
Course content
Natural phenomena such as water waves, wind and earthquakes can be modelled as irregular time series, and these are considered as input to systems that have the corresponding forces as output. On the next level these forces are input in a system in which the displacements of a structure is the output. The relationship from input to output is denoted 'transfer function', and from this follows the response spectrum. Further average frequency, average number of peaks of different magnitude, per time unit, and expected maximum response may be determined.
Learning outcome
Knowledge
The candidate should have knowledge of:
- Statistical based methods for the description of the environmental loads and the resulting. response, such as structural displacements of a structure.
- Modelling of a dynamic system using differential equations.
- Establishment of the equations of dynamic equilibrium, the equations of motion.
- The transfer function and the impulse response function for a dynamic system.
- Dynamic response due to irregular stochastic loadings.
- Analysis of time and frequency domains.
- The use of transfer functions.
- Description of stochastic processes.
- Correlations and variance spectra for stochastic processes.
- Response spectra for structures subjected to stochastic loading processes.
- Response statistics for calculation of extreme responses.
- MATLAB.
Skills
The candidate should be able to:
- Establish the dynamic equilibrium equations for systems with few degrees of freedom.
- Use complex numbers in the formulations.
- Calculate the response of the system from a given deterministic load.
- Determine the mean and variance as well as the response spectrum of the system subjected to a stochastic irregular loads.
- Simulate time series of environmental loads.
- Conduct statistical analysis of combined stochastic processes.
- Calculate up-crossing frequencies of stochastic vibrations.
General competence
The candidate has:
- Basic understanding of deterministic and stochastic structural dynamics.
- Depth understanding of the dynamics associated with one degree of freedom dynamic systems.
- A sound basis for further studies in structural dynamics and stochastic loads and response modelling.
- Characterization of structural dynamic properties (eigenfrequencies) in relation to the load characteristics (load spectrum).
Learning methods and activities
Lectures and exercises. The subject is taught in English. If there is a re-sit examination, the examination form may be changed from written to oral.
Compulsory assignments
- Exercises
Recommended previous knowledge
Minimum 30 credits in mathematics and statistics, as well as basic knowledge of mechanics equivalent to the first 2.5 years of Civil and Environmental Engineering studyprogram at NTNU.
Course materials
Textbook, compendium, papers.
A. Naess: An Introduction to Random Vibrations, Compendium available at Department of Civil and Transport Engineering.
Papers and notes by G. Moe distributed via It's learning.
Credit reductions
Course code | Reduction | From | To |
---|---|---|---|
SIB7075 | 7.5 | ||
TMR4235 | 6.7 |
No
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: AUTUMN 2012
Language of instruction: English
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- Structural Dynamics
- Structural Engineering
- Marine Civil Engineering
- Marine Technology
- Statistics
- Technological subjects
Examination
Examination arrangement: Written examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD Written examination 100/100 2012-12-17 09:00
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"