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Technology in Architecture. Lecture 16 Historic Overview Acoustical Design Sound in Enclosed Spaces Reverberation. Historic Overview. Greek Theatre Open air Direct sound path No sound reinforcement Minimal reverberation. S: p. 785, F.18.17a. Historic Overview. 1 st Century AD
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Technology in Architecture Lecture 16 Historic Overview Acoustical Design Sound in Enclosed Spaces Reverberation
Historic Overview Greek Theatre • Open air • Direct sound path • No sound reinforcement • Minimal reverberation S: p. 785, F.18.17a
Historic Overview 1st Century AD Vitruvius: “10 Books of Architecture” Sound reinforcement Reverberation S: p. 785, F.18.17b
Acoustical Design—Architect’s Role Source Path Receiver slight major design primarily interest influence
Acoustical Design Relationships Site Location Orientation Planning Internal Layout
Site Factory: • Close to RR/Hwy • Seismic
Site Rest Home: • Traffic Noise • Outdoor Use • Contact/Isolation
Location Take advantage of distance/barriers Distance
Location Take advantage of distance/barriers Acoustical Barriers
Orientation Orient Building for Acoustical Advantage Playground School Note: Sound is 3-dimensional, check overhead for flight paths
Planning Consider Acoustical Sensitivity of Activities Noisy Quiet Barrier
Planning Consider Acoustical Sensitivity of Activities Critical Non-Critical Noise
Internal Layout Each room has needs that can be met by room layout I: p.116 F.5-12
Acoustical Fundamentals—Sound Mechanical vibration, physical wave or series of pressure vibrations in an elastic medium Described in Hertz (cycles per second) Range of hearing: 20-20,000 hz
Sound Power Energy radiating from a point source in space. Expressed as watts S: p. 750, F.17.9
Sound Intensity Sound power distributed over an area I=P/A I: sound (power) intensity, W/cm2 P: acoustic power, watts A: area (cm2)
Intensity Level Level of sound relative to a base reference “10 million million: one” S: p. 750, T.17.2
Intensity Level Extreme range dictates the use of logarithms IL=10 log (I/I0) IL: intensity level (dB) I: intensity (W/cm2) I0: base intensity (10-16 W/cm2, hearing threshold) Log: logarithm base 10
Intensity Level Scale Change Changes are measured in decibels scale changesubjective loudness 3 dB barely perceptible 6 dB perceptible 7 dB clearly perceptible Note: round off to nearest whole number
Intensity Level—The Math If IL1=60 dB and IL2=50dB, what is the total sound intensity? 1. Convert to intensity IL1=10 log (I1/I0) IL2=10 log (I2/I0) 60=10 log(I1/10-16) 50=10 log(I2/10-16) 6.0= log(I1/10-16) 5.0= log(I2/10-16) 106=I1/10-16 105=I2/10-16 I1=10-10 I2=10-11
Intensity Level—The Math If IL1=60 dB and IL2=50dB, what is the total sound intensity? 2. Add together I1+I2=1 x 10-10+1 x 10-11 ITOT=11 x 10-11 W/cm2
Intensity Level—The Math If IL1=60 dB and IL2=50dB, what is the total sound intensity? 3. Convert back to intensity ILTOT= 10 Log (ITOT/I0) ILTOT=10 Log (11 x 10-11 )/10-16 ILTOT=10 (Log 11 + Log 105 ) ILTOT=10 (1.04 +5) = 60.4 dB
Intensity Level Add two 60 dB sources ΔdB=0, add 3 db to higher IL=60+3=63 dB S: p. 753, F.17.11
Sound Pressure Level Amount of sound in an enclosed space SPL=10 log (p2/p02) SPL: sound pressure level (dB) p: pressure (Pa or μbar) p0: reference base pressure (20 μPa or 2E-4 μbar)
Perceived Sound Dominant frequencies affect sound perception S: p. 747, F.17.8
Sound Meter—”A” Weighting Sound meters that interpret human hearing use an “A” weighted scale dB becomes dBA
Sound In Enclosed Spaces—Sound Absorption Amount of sound energy not reflected S: p. 771, , F.18.2
Sound Absorption Absorption coefficient α=Iα/Ii α=absorption coefficient Iα=sound power intensity absorbed (w/cm2) Ii=sound power impinging on material (w/cm2) 1.0 is total absorption
Sound Absorption Absorption coefficient S: p. 769, T.18.1
Sound Absorption Absorption A=Sα A=total absorption (sabins) S=surface area (ft2 or m2) α=absorption coefficient sabins (m2)= 10.76 sabins (sf)
Sound Absorption Total Absorption Σα=S1α1+ S2α2+ S3α3+…+Snαn or ΣA=A1+ A2+ A3+…+An
Sound Absorption Average Absorption αavg=ΣA/S αavg <0.2 “live” αavg >0.4 “dead” S: p. 774, F.18.6
Reflection in enclosed spaces Acoustical phenomena S: p. 787, F.18.20 S: p. 788, F.18.21
Ray diagrams Trace the reflection paths to and from adjoining surfaces angle of incidence = angle of reflection I R
Ray diagrams Trace the reflection paths to receiver Reflected sound path ≤ Direct sound path+55 Note: check rear wall and vertical paths Note: SR-6=RR-7 SR-6: p.116, F.5-12
Reflection inenclosed spaces Auditorium sound reinforcement S: p. 789, F.18.23
Reverberation Persistence of sound after source has ceased S: p. 771, F.18.2
Reverberation Time Period of time required for a 60 db drop after sound source stops TR= K x V/ΣA TR: reverberation time (seconds) K: 0.05 (English)(0.049 in SR-6) or 0.16 (metric) V: volume (ft3 or m3) ΣA: total room absorption, sabins (ft2 or m2)
ft3x1000 3.5 35.0 350 Reverberation Time Application Volume S: p. 782, F.18.13
Reverberation Example Compile data • Material Absorption Coefficient • Material Surface Area SR-6: p.121
ft3x1000 3.5 35.0 350 Reverberation Example Compare to requirements and adjust S: p. 782, F.27.13