Course content

Calculation of dynamic load and response for slender civil engineering structures. Strategy for the solution of dynamic equilibrium equations in time and frequency domain. Solutions by stochastic methods. Theory of bridge aerodynamics. Dynamic response from earthquake excitation. Simulation of stochastic input and response processes from spectra.

Learning outcome

This advanced course in structural dynamics, is picking up where the basic course TKT4201 finished, i.e. starting with the assumption that the students already have relevant knowledge of the basic principles of dynamics and the most important solution strategies usually applied to civil engineering structures. The course comprises three main parts. The first part is an extension and generalisation of the most important theories presented in TKT4201, including a full presentation of the finite element method as applied to line-like beams and frames, aiming at preparing the students for the dynamic analysis of real structures (e.g. bridges and towers). The second part covers the calculation of wind induced dynamic response, while the third part is dedicated to the calculation of dynamic response due to earthquake induced ground accelerations.

Knowledge:
The learning aspiration of the course is that at the end of the course the student will have general knowledge of:
- the mathematical description of stochastic processes and the theory of time domain simulations,
- the finite element method in dynamics,
- frequency and time domain solution strategies in original as well as modal degrees of freedom,
- dynamic load and response calculations due to turbulent wind and vortex shedding,
- seismology and earthquake as a dynamic load,
- relevant standards and the calculation of dynamic response due to earthquake,
- interaction between structure and soil.

Skills:
The student should be able to:
- calculate dynamic response due to wind load
- calculate dynamic response due to earthquake
- use Matlab in basic dynamics

General competence:
The student should be able to:
- calculate the dynamic load and establish the necessary equilibrium conditions in time and frequency domain for slender civil engineering structures,
- perform solutions by stochastic methods,
- choose the most relevant solution strategy and calculate response for structures subject to wind or earthquake induced oscillations.

Learning methods and activities

Lectures, seminars and excercises or semester assignments. If there is a re-sit examination, the examination form may be changed from written to oral. The lectures and exercises are in English when students who do not speak Norwegian take the course. If the teaching is given in English the Examination papers will be given in English only. Students are free to choose Norwegian or English for written assessments.

Compulsory assignments

• Exercises and semester assignment

Recommended previous knowledge

Knowledge of Dynamics equivalent to that given in course of TKT4201 Structural Dynamics.

Course materials

A.K. Chopra: "Dynamics of structures", 3rd ed., Prentice Hall, 2007.
E. Strømmen: "Theory of bridge aerodynamics", Springer, 2006.