Familiarizing the students with the analysis of constructions under dynamic stress.
Knowledge of the theory of the strength of materials, construction mechanics and finite elements.
Slides, transparencies, courseware
Order of Enrolment
You may only take this course if you comply with the prerequisites. Prerequisites can be strict or flexible, or can imply simultaneity. A degree level can be also be a prerequisite.
STRICT: You may only take this course if you have passed or applied tolerance for the courses for which this condition is set.
FLEXIBEL: You may only take this course if you have previously taken the courses for which this condition is set.
SIMULTANEOUS: You may only take this course if you also take the courses for which this condition is set (or have taken them previously).
DEGREE: You may only take this course if you have obtained this degree level.
SIMULTANEOUS (H04M0B) OR (SIMULTANEOUS (H9X20A) AND SIMULTANEOUS (H9X21A))
The codes of the course units mentioned above correspond to the following course descriptions:
H04M0B : Finite Elements
H9X20A : Finite Elements, Part 1: frame structures
H9X21A : Finite Elements, Part 2
This course unit is a prerequisite for taking the following course units:
H03Q7A : Project: Clean Room
H03T6A : Wave Propagation and Vibrations in the Built Environment
H03S3A : Project: Quai Wall and Steel Structure
Is also included in other courses
In this course, the analysis of constructions is expanded to dynamic pressures. Examples of this are wind pressure, earthquakes, traffic, impact, rotating machines, moving persons and construction activities. In the execution of dynamic balance equations of a structure, next to rigidity, also mass (inertia) and damping play a part.
The following topics will be discussed:
Part 1: Systems with one degree of freedom (SDOF)
- Balance equation
- Free vibration
- Forced vibration
- Damping (viscous, hysteresis, Coulomb)
Part 2: Systems with multiple degrees of freedom (MDOF)
- Balance equations and finite element formulation for beam elements.
- Free vibration: eigenvalues and eigenvectors
- Forced vibration: model superposition, response spectra analysis, solution in the frequency domain, direct time integration
- Damping mechanisms in constructions
Part 3: Wind pressure and instabilities caused by wind
Course text and notes:
- G. De Roeck, Dynamica van constructies, VTK, Leuven.
- G. Degrande, Dynamica van constructies, copies van transparanten.
- J. Berlamont, Dynamische windbelasting op constructies, Acco, Leuven.
- A.K. Chopra (1995), Dynamics of structures, Theory and applications to earthquake engineering, Prentice-Hall, New Jersey.
- R.W. Clough and J. Penzien (1975), Dynamics of structures, McGraw-Hill.
- K.J. Bathe (1996), Finite element procedures, Prentice-Hall, New Jersey.
10 exercise sessions of 2.5h will be organized. They will feature the following topics:
- Ex. 1: SDOF: passage of an axis of a vehicle on an uneven road
- Ex. 2: Demonstration session in the laboratory: free and forced vibration of an outstanding beam with a concentrated mass, eigenmodes of a beam, eigenmodes of a scale model of a bridge, dynamic system identification.
- Ex. 3: MDOF: eigen frequencies and eigenmodes (porch with two floors or shear building)
- Ex; 4: MDOF: modal decomposition, harmonic excitation
- Ex. 5: MDOF: modal decomposition, transcient excitation
- Ex. 6: MDOF: solution in the frequency domain
- Ex. 7: MDOF: response spectrum analysis
- Ex. 8: MDOF: direct time integration
- Ex. 9-10: working out a practical case (basis for exercise for the alternative exam).
Illustrating and practising the theory and techniques for analysis of constructions under dynamic stress, as discussed in the course Dynamics of constructions.
- G. Degrande (1997), Dynamica van constructies: oefeningen, Opgavenbundel.
- Structural Dynamics Toolbox in Matlab, on-line documentation, SdTools.
Alternative exam, to be solved in groups of max. 3 students, with the Structural Dynamics toolbox in Matlab. The assignment will be handed out after the last exercise session is handed in, during the beginning of the thirteenth week of the semester. An oral discussion follows in the first week of the study period.