Formulas of Acoustics

1. Front Matter

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2. Conventions

   1. there was no title, but A++ does not allow this Conventions

      Pages 1-3

3. General Linear Fluid Acoustics

   1. Fundamental Differential Equations

      Pages 5-8

   2. Material Constants of Air

      Pages 8-11

   3. General Relation for Field Admittance and Intensity

      Pages 11-12

   4. Integral Relations

      Pages 12-13

   5. Green's Functions and Formalism

      Pages 13-19

   6. Orthogonality of Modes in a Duct with Locally Reacting Walls

      Pages 19-20

   7. Orthogonality of Modes in a Duct with Bulk Reacting Walls

      Pages 20-20

   8. Source Conditions

      Pages 21-22

   9. Sommerfeld's Condition

      Pages 22-22

   10. Principles of Superposition

       Pages 22-24

   11. Hamilton's Principle

       Pages 25-25

   12. Adjoint Wave Equation

       Pages 26-26

   13. Vector and Tensor Formulation of Fundamentals

       Pages 26-38

   14. Boundary Condition at a Moving Boundary

       Pages 38-39

   15. Boundary Conditions in Liquids and Solids

       Pages 39-40

   16. Corner Conditions

       Pages 40-41

   17. Surface Wave at Locally Reacting Plane

       Pages 41-42

   18. Surface Wave Along a Locally Reacting Cylinder

       Pages 42-43

This collection of formulas has been written by applied scientists and industrial engineers for design professionals and students who work in engineering acoustics. It is subdivided into the most important fields of applied acoustics, each dealing with a well-defined type of problem. It provides easy and rapid access to profound and comprehensive information. In order to keep the text as concise as possible, the derivation of a formula is described only as far as necessary for its understanding. The interested reader can refer to the original source of the result. In addition to formulas, useful principles and computational procedures are given.

• Acoustics
• mechanics
• ultrasound
• vibrations
• wave propagation

From the reviews:

"This is a collection of formulas for applied scientists and industrial engineers working in the most important subfields of applied acoustics. It permits an easy and rapid access to searched results. … The book is very well written and excellently organized; the size of letters permits an easy reading. … On balance, this is an excellent reference tool, a real ‘instrument de travail’ in acoustics, whose edition will be welcome by the researchers in the field." (Dumitru Stanomir, Zentralblatt MATH, Vol. 1060, 2005)

"This collection of formulas has been written by applied scientists and industrial engineers for design professionals and students who work in engineering acoustics. … It provides easy and rapid access to profound and comprehensive information. … In addition to formulas, useful principles and computational procedures are given." (Applied Mechanics Reviews, Vol. 56 (1), 2003)

From the reviews of the second edition

"In 17 chapters the book cover numerous areas of classical contemporary acoustics … . Each chapter concludes with … extensive reference list. … the book is a ‘must’ for all those working with or in engineering acoustics … ." (Heinrich A. Metzen, Noise Control Engineering Journal, Vol. 57 (1), 2009)

• Grafenau, Germany

  Fridolin P. Mechel

Professor Dr. F. P. Mechel, born in 1930 in Blickweiler, Germany, studied Applied Physics in Mainz, Heidelberg, and Goettingen. After his doctoral thesis (1959) he worked for many years as a researcher, first in Applied Physics and later in Acoustics. In 1971 he became a professor at Saarland University. At the same time he was head of the R&D department of a major corporation. In 1977 he became the Head of the Fraunhofer Institute for Building Physics in Stuttgart, where he retired in 1990. Since 1990 Professor Mechel has been an active hobby scientist.

F. P. Mechel is author of numerous articles, six books as well as co-author and co-editor of four handbooks on Acoustics.

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