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.
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.
Required prerequisite knowledge
BYG140 Structural Mechanics 1
Form of assessment
Basic calculator specified in general exam regulations
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.
There must be an early dialogue between the course coordinator, the student representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital course evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.