SD2170 Energy Methods 6.0 credits


The course covers the theoretical background and some practical experience on vibro-acoustic predictions based on statistical energy analysis (SEA). This approximate method is based upon a potential flow model and is quickly applied for complex built-up structures as buildings and vehicles. It provides an alternative view point that is useful for post processing and understanding measurement data and results from advanced numerical dynamic predictions of high frequency response.

  • Education cycle

    Second cycle
  • Main field of study

  • Grading scale

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

Course offerings

Spring 19 for programme students

Spring 20 for programme students

Intended learning outcomes

Students graduating from the course shall be able to:

  • explain and communicate the implications of uncertainty and complexity on the predictability of vibro-acoustic response.
  • formulate the law of vibrational energy conservation in SEA form for some common structural and acoustic systems.
  • explain and communicate the capability of the potential flow model for energy.
  • explain and communicate the limitations of the potential flow model.
  • take a decision on whether to use a commercial software for a particular problem

Course main content

Introduction to the “high-frequency” response of engineering structures. Free vibrational energy as a response variable. Statistical estimates of the maximum and mean response. Fuzzy structure attachments. The potential flow model and its failure for strong coupling and non-resonant motion. Asymptotic methods for modal density and vibration conductivity. SEA formulations for basic structures. The approximate solution to some “impossible” problems including: acoustic fatigue of space rockets, damage to colliding houses, vibro-acoustic transmission in multi-storey buildings and ships. Introduction to current areas of research and to complementary formulations such as the Wave Intensity Method, the Smooth Energy Method, the Power Injection Method, Transient SEA, the exact power balance formulation, hybrid SEA-FEM formulations. Introduction to commercial software and a computer exercise.


Basic courses in mathematics, mechanics.


S. Finnveden. Lecture notes: Introduction to SEA.


  • TEN1 - Examination, 6.0, grading scale: A, B, C, D, E, FX, F

Requirements for final grade

Examination (TEN1; 6 university credits).

Offered by

SCI/Aeronautical and Vehicle Engineering


Hans Bodén <>

Add-on studies

SD2165 Acoustical Measurements
SD2150 Experimental Structure Dynamics
SD2155 Flow Acoustics
SD2160 Sound and Vibration, Project Course
SD2175 Numerical Methods for Acoustics and Vibration
SD2180 Non-Linear Acoustics
SD2185 Ultrasonics
SD2190 Vehicle Acoustics and Vibration


Course syllabus valid from: Autumn 2007.
Examination information valid from: Autumn 2007.