SD2185 Ultraljud 6,0 hp

Elements of elasticity: strain and stress tensors, work, internal energy, generalized Hooke’s law. Propagation of bulk waves in isotropic and anisotropic solids: Christoffel equation, slowness surface; energy conservation and Poynting vector; group velocity. Rayleigh and Lamb waves: general properties of these modes and of their dispersion relations. Interaction of ultrasonic waves with perfect and damaged interfaces: boundary conditions; reflection and transmission. Radiation and Scattering: introduction to Green’s functions, radiation by a piston, Lommel integral, elements of scattering theory. Introduction to Nondestructive Evaluation (NDE): examples of material characterization by mean of ultrasonic waves.

After the course the students should be able to:

• Derive the wave equation and find its plane wave solutions in infinite, anisotropic solids, isotropic semi-spaces, a planar wave guides.
• Formulate the boundary conditions associated with interfaces between solid-vacuum, solid-liquid, and solid-solid. Solve the related problem.
• Use, at least qualitatively, the main concepts of scattering theory to describe the interaction between waves and defects.
• Select the wave mode which is most appropriate for a given type of inspection. Select the appropriate transducer and experimental set-up to generate the mode.
• Inspect solid materials and provide a qualitative interpretation of the inspection results

Basic courses in mathematics, mechanics and noise control.

Ultrasonic Waves – Fundamentals and Applications’, J. David & N. Cheeke, CRC, Series in Pure and Applied Physics, CRC Press

Class notes

När kurs inte längre ges har student möjlighet att examineras under ytterligare två läsår.

• INL1 - Inlämningsuppgifter, 3,0 hp, betygsskala: P, F
• TEN1 - Tentamen, 3,0 hp, betygsskala: A, B, C, D, E, FX, F

Examinator beslutar, baserat på rekommendation från KTH:s handläggare av stöd till studenter med funktionsnedsättning, om eventuell anpassad examination för studenter med dokumenterad, varaktig funktionsnedsättning.

Examinator får medge annan examinationsform vid omexamination av enstaka studenter.

Oral examination (TEN1; 3 university credits), Assignments (INL1; 3 university credits).

Leif Kari

• Vid grupparbete har alla i gruppen ansvar för gruppens arbete.
• Vid examination ska varje student ärligt redovisa hjälp som erhållits och källor som använts.
• Vid muntlig examination ska varje student kunna redogöra för hela uppgiften och hela lösningen.

SD2145 Vibro-Acoustics
SD2130 Signal Analysis
SD2165 Acoustical Measurements
SD2150 Experimental Structure Dynamics
SD2155 Flow Acoustics
SD2160 Ljud- och Vibrationsprojekt
SD2170 Energy Methods
SD2175 Numerical Methods for Acoustics and Vibration
SD2180 Non-Linear Acoustics
SD2190 Vehicle Acoustics and Vibration

Ges ej 08/09. 

Ordinarie examinator är Leif Kari.