# TKT4201 - Structural Dynamics 1

### Examination arrangement

Examination arrangement: Home exam

Evaluation Weighting Duration Grade deviation Examination aids
Home exam 100/100 4 hours

### 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 Hamiltons principles.
- Modeling of structural damping.
- 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.

• Exercises

### Further on evaluation

At the re-sit exam the examination form may be written or oral.

### Specific conditions

Compulsory activities from previous semester may be approved by the department.

### 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.

More on the course

No

Facts

Version: 1
Credits:  7.5 SP
Study level: Second degree level

Coursework

Term no.: 1
Teaching semester:  SPRING 2021

Language of instruction: English

Location: Trondheim

Subject area(s)
• Technological subjects
Contact information
Course coordinator:

Department of Structural Engineering

# Examination

#### Examination arrangement: Home exam

Term Status code Evaluation Weighting Examination aids Date Time Digital exam
Spring ORD Home exam (1) 100/100

Release
2021-06-09

Submission
2021-06-09

09:00

13:00

Summer UTS Home exam 100/100
• * 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.
• 1) Merk at eksamensform er endret som et smittevernstiltak i den pågående koronasituasjonen. Please note that the exam form has changed as a preventive measure in the ongoing corona situation.
Examination

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