Samenvatting

Summary Architectural Acoustics (7LS8M0)

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Technische Universiteit Eindhoven (TUE)

This document can be regarded as an extensive summary of the lectures given for the course Architectural Acoustics. Besides, it contains some definitions of the Kutruff (Acoustics - an Introduction) book that is part of this course.

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Geupload op 13 april 2021
Aantal pagina's 45
Geschreven in 2020/2021
Type Samenvatting

COURSE YEAR: 2020/2021
15-4-2021

7LS8M0 ARCHITECTURAL ACOUSTICS
SUMMARY OF ALL LECTURES (AND KUTRUFF BOOK) REGARDING THIS COURSE

BY: F.M. ARNTS
STUDENT AT TU EINDHOVEN

, 7LS8M0 Architectural Acous�cs

TABLE OF CONTENTS
FUNDAMENTALS OF ACOUSTICS ...................................................................................................................................3
LECTURE F.1...............................................................................................................................................................3
Harmonic mo�on ..................................................................................................................................................3
Complex numbers .................................................................................................................................................3
Impedance ............................................................................................................................................................4
Resonance .............................................................................................................................................................4
LECTURE F.2...............................................................................................................................................................5
Acous�c power .....................................................................................................................................................5
Fourier transform..................................................................................................................................................5
Impulse response g(t) ...........................................................................................................................................6
KUTRUFF CHAPTER 2 SOME FACTS ON MECHANICAL VIBRATIONS ..........................................................................6
LECTURE F.3...............................................................................................................................................................7
Wave equa�on in ﬂuids ........................................................................................................................................7
Harmonic waves....................................................................................................................................................8
Intensity ................................................................................................................................................................8
LECTURE F.4...............................................................................................................................................................8
Sound pressure level .............................................................................................................................................8
Elas�c stresses on a solid element ........................................................................................................................9
KUTRUFF CHAPTER 3 ACOUSTIC VARIABLES AND BASIC RELATIONS ........................................................................9
KUTRUFF CHAPTER 4.1 AND 4.2 PLANE WAVES, ATTENUATION ..............................................................................9
LECTURE F.5 & F.6 ...................................................................................................................................................10
Acous�c atenua�on ...........................................................................................................................................10
Spherical waves...................................................................................................................................................12
Sound radia�on...................................................................................................................................................12
KUTRUFF CHAPTER 4 PLANE WAVES, ATTENUATION .............................................................................................13
KUTRUFF CHAPTER 5 SPHERICAL WAVE AND SOUND RADIATION .........................................................................13
ENVIRONMENTAL ACOUSTICS .....................................................................................................................................15
LECTURE E.1 & E.2 ...................................................................................................................................................15
Reﬂec�on ............................................................................................................................................................15
Refrac�on............................................................................................................................................................18
LECTURE E.3 & E.4 ...................................................................................................................................................19
Diﬀrac�on ...........................................................................................................................................................19
Scatering ............................................................................................................................................................20
KUTRUFF CHAPTER 6 REFLECTION AND REFRACTION.............................................................................................22

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, 7LS8M0 Architectural Acous�cs

KUTRUFF CHAPTER 7 DIFFRACTION AND SCATTERING ...........................................................................................22
BUILDING ACOUSTICS ..................................................................................................................................................23
LECTURE B.1 ............................................................................................................................................................23
Sound waves in isotropic solids ..........................................................................................................................23
Sound waves in unbounded solids ......................................................................................................................23
Reﬂec�on and refrac�on, Rayleigh wave ...........................................................................................................25
Wave in plates and bars ......................................................................................................................................26
LECTURE B.2 ............................................................................................................................................................29
Building acous�cs................................................................................................................................................29
Characteriza�on and measurement ...................................................................................................................29
Single leaf par��ons ...........................................................................................................................................30
Double leaf par��ons .........................................................................................................................................31
KUTRUFF CHAPTER 10 SOUND WAVES IN ISOTROPIC SOLIDS ................................................................................32
KUTRUFF CHAPTER 14 BUILDING ACOUSTICS .........................................................................................................33
LECTURE B.3 ............................................................................................................................................................33
Sound reduc�on index combining mul�ple surfaces..........................................................................................33
Flanking sound transmission ...............................................................................................................................34
ROOM ACOUSTICS .......................................................................................................................................................36
LECTURE R.1 ............................................................................................................................................................36
Introduc�on ........................................................................................................................................................36
Acous�cs design ..................................................................................................................................................36
LECTURE R.2 CONCERT HALL ...................................................................................................................................37
Impulse response measurement ........................................................................................................................37
Roomacous�c parameters ..................................................................................................................................38
Speech transmission index..................................................................................................................................40
LECTURE R.3 ............................................................................................................................................................41
Room acous�cs in small rooms ...........................................................................................................................41
Experiment: how do room modes behave in the tu labaratory?........................................................................42
Sound absorp�on ................................................................................................................................................42
KUTRUFF CHAPTER 9 SOUND IN CLOSED SPACES ...................................................................................................44
KUTRUFF CHAPTER 13 ROOM ACOUSTICS ..............................................................................................................44

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, 7LS8M0 Architectural Acous�cs

FUNDAMENTALS OF ACOUSTICS

LECTURE F.1

HARMONIC MOTION
Harmonic mo�on = periodic mo�on with the same amplitude (e.g. mass-spring system).

Cosine func�on  harmonic.

TIME AVERAGED SIGNAL
Integrate harmonic mo�on over �me. The displacement is squared, otherwise we would get just 0.

t0 = suﬃciently long �me interval.

COMPLEX NUMBERS
The displacement s(t) can be writen as a complex number, with ‘e’ = complex exponen�al.

The physical signal is the real value of the complex signal:

𝑠𝑠̂ = |s| = amplitude of the signal
ωt + ϕ = phase of the signal
Real part = the projec�on on the x
axis = 𝑠𝑠̂ ∙ cos (ωt + φ)
Imaginary part = the projec�on on
the y axis = 𝑠𝑠̂ ∙ sin (ωt + φ)

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