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SD2175 Numerical Methods for Acoustics and Vibration 9.0 credits

Numeriska metoder för akustik och vibrationer

The course covers the theoretical background and some practical experience on acoustic and vibration finite element and boundary element analysis. Modelling of damping in response predictions.

  • Educational level

    Second cycle

  • Academic level (A-D)

    D

  • Subject area

  • Grade scale

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

Course offerings

Spring 13 for programme students

Spring 14 for programme students

Learning outcomes

The goals of the course, for the student, are:

  • To understand the difference between mathematical and numerical models.
  • To perform simulations and computations with available software, Matlab, Comsol Multiphysics, Nastran etc.
  • Be able to write simple code and make modifications to available programs.
  • To understand the importance and limitations of a number of basic models with very broad applicability.
  • To be able to critically judge results from simulations, quality, convergence, representation of physical phenomena etc.

Course main content

Introduction to numerical methods in engineering. Mathematical models versus numerical models. Galerkins method and method of weighted residuals. Simple elements. Stiffness method. Element formulations. Coordinate transformations. Isoparametry. Numerical interpolation. Convergence properties for dynamic problems. Hierarchical elements. Direct and iterative solvers. Eigenvalue analysis. Modal superposition. Integral equations. Examples of acoustic radiation and scattering using BEM. Simple fluid-structure interaction. Response analysis of a coupled problem. Modelling of damping and its effect on the response.

Eligibility

Basic courses in mathematics and mechanics.

Literature

Course compendium: Numerical methods in acoustics and vibrations.

Examination

  • INL1 - Assignments, 3.0 credits, grade scale: P, F
  • INL2 - Assignments, 2.0 credits, grade scale: P, F
  • TEN1 - Examination, 4.0 credits, grade scale: A, B, C, D, E, FX, F

Requirements for final grade

Examination, written test (TEN1; 4 university credits), Assignments (INL1; 3 university credits), Computer task, oral defence (INL1, 2 university credits).

Offered by

SCI/Aeronautical and Vehicle Engineering

Examiner

Peter Göransson <pege@kth.se>

Add-on studies

SD2165 Acoustical Measurements
SD2150 Experimental Structure Dynamics
SD2155 Flow Acoustics
SD2160 Sound and Vibration, Project Course
SD2170 Energy Methods
SD2180 Non-Linear Acoustics
SD2185 Ultrasonics
SD2190 Vehicle Acoustics and Vibration

Version

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