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SD2125 Signals and Mechanical Systems 6.0 credits

Signaler och mekaniska system

The fundamental part gives knowledge of the theoretical background of signal analysis, e.g., Fourier analysis, FFT, DFT, correlation, signals and linear systems and the Z-transforms and digital filters. In the application part signal analysis is used in some important applications.

  • Educational level

    Second cycle

  • Academic level (A-D)

    D

  • Subject area

  • Grade scale

    A, B, C, D, E, FX, F

Course offerings

Autumn 12 for programme students

Autumn 13 for programme students

Learning outcomes

The aim of the first part of the course is to give the students knowledge about the theoretical foundations of signal analysis, and ability to apply this knowledge for analysis of mechanical systems. The aim of the application part of the course is to acquire knowledge and practical ability in important methods in analysis of mechanical systems.

The student should after finishing the course be able to:

  • Use a signal analyser (FFT-analyser) and be able to choose the measurement setup: frequency range, length of time record, time windows, number of averages etc.
  • Perform signal analysis on measured time record in Matlab.
  • Choose appropriate signal analysis methodology for a given problem. For example choosing between time or frequency domain analysis, one-channel or multi-channel analysis, different types of filtering etc.
  • Interpret results from different types of signal analysis, for instance spectra, correlation functions or frequency response functions.
  • Be able to extract information about the character of the studied signal such as periodicity, time delays and linearity.

Course main content

Fundamental part: Amplitude characterisation, classification of signals, Fourier analysis and Laplace transforms in signal analysis, discrete signals (sampling, averaging, DFT, FFT, correlation methods, signals and linear systems - frequency response functions, power spectral density, frequency analysis with FFT, frequency analysis with filters, Z-transforms and digital filtering.

The students will get practical training in using the theoretical concepts and signal analysis methods by computer exercises.

Application part: Control of mechanical systems, machine monitoring, active control of sound and vibration. In the computer exercise in machine monitoring it is shown how vibration measurements can be used to detect defects in bearings. In the laboratory exercise on active control of sound digital filtering is used to attenuate sound in a duct.

Eligibility

Basic courses in mathematics, mechanics and electrical engineering.

Literature

Compendium: H. Bodén, K. Ahlin, U Carlsson, Signals and Mechanical Systems, KTH Aeronautical and Vehicle Engineering.

Collected additional material.

Examination

  • LAB1 - Laboratory Works, 2.0 credits, grade scale: P, F
  • LAB2 - Laboratory Works, 1.0 credits, grade scale: P, F
  • TEN1 - Control Test, 3.0 credits, grade scale: A, B, C, D, E, FX, F

Requirements for final grade

Written examination (TEN1; 3 university credits). Computer exercises (LAB1; 2 university credits), Laboratory exercise (LAB2; 1 university credits).

Offered by

SCI/Aeronautical and Vehicle Engineering

Examiner

Hans Bodén, hansbod@kth.se, tel. 790 8021

Add-on studies

SD2140 Vibroacoustics
SD2165 Acoustical Measurements
SD2150 Experimental Structure Dynamics
SD2155 Flow Acoustics
SD1135 Project Course in Sound, Vibrations and Signals
SD2170 Energy Methods
SD2175 Numerical Methods for Acoustics and Vibration
SD2180 Non-Linear Acoustics
SD2185 Ultrasonics
SD2190 Vehicle Acoustics and Vibration

Version

Course plan valid from: Autumn 07.
Examination information valid from: Autumn 07.