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# Details for the Course Syllabus for Course BMEN45F valid from Autumn 2023

General
• English
• Every autumn semester
Aim
• The aim of the course is to provide fundamental knowledge about mathematical and physical methods that are routinely applied in research and industry to model acoustics, i.e., linear wave or vibrational, phenomena. Knowledge on several topics in basic mechanics, linear wave propagation, and discrete oscillating systems will be provided. The course aims at providing the capability to devise simple models of those vibrational phenomena and describe them in a mathematical language, which allows the students to derive simple solutions either numerically or analytically. The knowledge forms a thorough foundation of the physics that is applied in different applications of acoustics. This course also has the purpose to prepare the students for diploma work or Ph.D. research in the relevant fields.
Contents
• Discrete systems, wave equation, plane waves, spherical waves, cylindrical waves, transducers, nonlinear acoustics, finite element method, applications.
Knowledge and Understanding
• For a passing grade the doctoral student must
• Demonstrate a thorough understanding of the basic physical and mathematical principles used in physical acoustics.
Understand how the axioms of mechanics lead to the wave equation.
Be able to interpret the analytically derived results from a physics point of view.
Establish a satisfactory overview of the technical applications of acoustics.
Competences and Skills
• For a passing grade the doctoral student must
• Be able to solve the wave equation analytically in simple cases.
Be able to read, understand, summarize, and discuss scientific papers in physical acoustics.
Be able to formulate and solve problems in acoustics numerically and analytically.
Be able to apply numerical tools to model problems in acoustics.
Judgement and Approach
• For a passing grade the doctoral student must
• be able to judge the quality of a theoretical/numerical analysis of an acoustical phenomenon.
Types of Instruction
• Lectures
• Exercises
• Project
• numerical laboratory exercises
Examination Formats
• Oral exam
• Written assignments
• Completed laboratory work with approved laboratory report, approved mini-project report and presentation.
• Failed, pass
Assumed Prior Knowledge
• Fundamental knowledge in mathematics and physics, including single variable and multivariable calculus, linear algebra, and classical mechanics.
Selection Criteria
Literature
• Blackstock, David T.: Fundamentals of Physical Acoustics. John Wiley & Sons, 2000. ISBN 9780471319795.
Kinsler, Lawrence E., Frey, Austin R., Coppens, Alan B. & Sanders, James V.: Fundamentals of Acoustics. John Wiley & Sons, 2000. ISBN 9780471847892.
Further Information
Course code
• BMEN45F