Course - Structural Dynamics 1 - TKT4201
TKT4201 - Structural Dynamics 1
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | A |
Course content
The following is covered: The single-degree-of-freedom system. Response of dynamic loads by superposition in time and frequency domain. Time domain integration. Continuous systems (partial differential equations), generalised single-degree-of-freedom systems, dynamic respons by modal superposition. Damping mechanisms and models. The equation of motion in a matrix format. Numeric solution to the problem of free oscillations. Direct solution of the equation of motion in time and frequency domain. Response calculations for relevant load cases (e.g. wind and earthquake).
Learning outcome
Structural dynamics is a basic course in defining and understanding dynamic problems mainly related to civil engineering. Prerequisite knowledge acquired from the courses Mechanics 2 TKT 4122/4123 is assumed. The course is intended to provide necessary knowledge to establish the equations of motion and for the determination of structural response from dynamic loads and experience in the modeling and calculation of dynamic response for simple structural systems. Structural dynamics aims at the following learning outcomes: Knowledge Upon the completion, the candidate should have the knowledge of: - Establishing dynamic equilibrium, the equation of motion - Continuous systems and partial differential equations for rods and beams. - Solving the eigenvalue problem and knowledge to its properties. - Generalized degrees of freedom for single and multi degree of freedom systems. - Basis for the classic energy formulations such as Rayleigh-Ritz and Hamiltons principles. - Modeling of structural damping. - Response calculation from different types of loading. - Solutions in frequency domain and tome domain. Proficiency / Skill Upon the completion, the candidate is able to: - Establish the discretization of dynamic structures. - Establish necessary matrices for the equation of motion, the stiffness, mass and damping matrix. - Use normal coordinates to reduce the dynamic problem size. - Calculate response from harmonic and transient loads. General Competence / Expertise Upon the completion, the candidate is able to: - Assess the need for dynamic analysis in structural design. - Characterize the dynamic properties of a structure such as natural frequencies and mode shapes and to compared these to the properties of the load.
Learning methods and activities
Lectures and model illustrations. Obligatory numerical and computer exercises. Laboratory projects and demonstrations of dynamic response of simple structural models. The course will be given in English if necessary.
Compulsory assignments
- Exercises
Further on evaluation
At the re-sit exam the examination form may be written or oral.
Recommended previous knowledge
The course assumes basic knowledge of the finite element method for beams and frames, mass point dynamics and Fourier-analysis.
Course materials
A.K. Chopra: Dynamics of structures, 2nd ed., Prentice Hall, 2001. P.G. Bergan, P.K. Larsen & E. Mollestad: Svingning av konstruksjoner, In norwegian, Tapir 1981. Lecture notes.
No
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: SPRING 2024
Language of instruction: English
Location: Trondheim
- Technological subjects
Department with academic responsibility
Department of Structural Engineering
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD School exam 100/100 A INSPERA
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Room Building Number of candidates - Summer UTS School exam 100/100 A INSPERA
-
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"