SD2170 Energy Methods
KTH Royal Institute of Technology
Basic courses in mathematics, mechanics.
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.
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
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