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Mechanical Vibrations BYG550

The course will introduce the analysis and mitigation of vibrations, with applications in civil and mechanical engineering.  

Course description for study year 2021-2022. Please note that changes may occur.

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Offered by

Faculty of Science and Technology, Department of Mechanical and Structural Engineering and Materials Science

Learning outcome
The course shall give an introduction to analysis and control of vibrations in mechanical systems and civil engineering structures. Upon completing the course, the student shall:
  • be familiar with the basic concepts in the dynamic analysis of structures
  • be able to establish equation(s) of motion for a single or multi degree of freedom system
  • be able to calculate the undamped eigen-frequencies and mode-shapes
  • understand and be able to establish various models for damping in structures
  • be able to calculate free vibration response of an undamped or damped system
  • be able to calculate response of an undamped and damped system due to harmonic load
  • be able to calculate response to a general load history by using impulse-response method
  • be familiar with the numeric integration methods in vibration analysis.
Free vibrations of a single degree of freedom system. Damping models. Vibrations due to harmonic and general excitation. Mechanical transfer function, frequency response function, impulse response function. Response spectrum. Step-by-step integration, Newmark's method. Multi-degree of freedom systems. Matrix formulation. Eigenfrequencies and mode shapes. Modal analysis. Numerical integration methods in vibration analysis.
Required prerequisite knowledge
BYG140 Structural Mechanics 1
Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours A - F Basic calculator specified in general exam regulations

Coursework requirements
Assigments, 7 of 9 have to be approved before one can take the exam
9 assignments,  7 of which have to be approved in order to take the written exam.
Course teacher(s)
Course coordinator: Jasna Bogunovic Jakobsen
Head of Department: Tor Henning Hemmingsen
Method of work
On average 5 lectures and 1 tutorial per week. Compulsory assignments. Laboratory exercises.
Open for
Engineering Structures and Materials - Master's Degree Programme Exchange programme at Faculty of Science and Technology
Course assessment
By form and/or by discussions in class in accordance with university regulations.
The syllabus can be found in Leganto