Acoustic properties of building elements and of buildings - Laboratory measurement of airborne and structure borne sound from building equipment - Part 1: Simplified cases where the equipment mobilities are much higher than the receiver mobilities, taking wirlpool baths as an example

Part 1 of the standard should apply to any source -receiver configuration where the receiver mobility is 10 dB below the source
mobility (see definition of mobility in section 2 below). However, part 1 is restricted for the moment to whirlpool baths since
only this type of building equipment has been experimentally studied so far; for other types of building equipment, the principle of the method is still valid but some details in the standard might not be relevant. Therefore, this first part:
- specifies methods for the measurement under laboratory conditions of airborne and structure borne sound produced by whirlpool baths
connected to low mobility structures. For the case of whirlpool baths, building structures of mass per unit area equal or greater than 220
kg/m2, hollow elements excluded, are considered as low mobility elements.
- defines the expression of the results, including data for comparison between products (single value descriptors) and input data for the
prediction method (link to standard pr EN 12354-5 explained in Annex 2).

Akustische Eigenschaften von Bauteilen und von Gebäuden - Messung des Luft- und Körperschalls von haustechnischen Anlagen im Prüfstand - Teil 1: Vereinfachte Fälle, in denen die Admittanzen der Anlagen wesentlich höher sind als die der Empfänger am Beispiel von Whirlwannen

Teil 1 dieser Europäischen Norm muss für alle Sender-Empfänger-Anordnungen angewendet werden, bei
denen die Empfängeradmittanz 10 dB unter der Senderadmittanz liegt (siehe Definition der Admittanz im
Abschnitt 3). Teil 1 beschränkt sich aber momentan auf Whirlwannen, weil bisher nur diese Art von haustechnischen
Anlagen experimentell untersucht wurde; für andere Arten von haustechnischen Anlagen gilt das
gleiche Verfahrensprinzip, es kann aber durchaus sein, dass einige in dieser Norm beschriebene Einzelheiten
dann nicht relevant sind.
Daher legt dieser erste Teil Folgendes fest:
- Verfahren zur Messung des Luft- und Körperschalls, der unter Prüfstandbedingungen in Whirlwannen
erzeugt wird, die mit Bauwerken mit geringer Admittanz verbunden werden; im Fall von Whirlwannen
werden Bauwerke mit einer Masse je Flächeneinheit von größer oder gleich 220 kg/m2, Hohlelemente
ausgeschlossen, als Elemente mit niedriger Admittanz angesehen.
- die Angabe der Ergebnisse einschließlich der Daten zum Vergleich von Produkten (Einzahlangaben) und
der Eingabedaten für das Voraussageverfahren (Verknüpfung mit EN 12354-5, erläutert in Anhang B).

Propriétés acoustiques des éléments de construction et des bâtiments - Mesurage en laboratoire des bruits aériens et de structure des éléments de construction - Partie 1: Cas simplifiés prenant comme exemple les bains bouillonnants

La Partie 1 de la présente Norme européenne doit s’appliquer à toute configuration source/récepteur dans laquelle la mobilité du récepteur est inférieure de 10 dB à celle de la source (voir la définition de mobilité à l’Article 3 ci après). Toutefois, la Partie 1 se limite pour le moment aux baignoires à brassage, étant donné qu’il s’agit du seul type d’équipement de bâtiment qui a été étudié de manière expérimentale jusqu’à présent. Pour les autres types d’équipements de bâtiment, le principe de la méthode reste valable mais certains détails donnés dans la présente norme peuvent ne pas être pertinents.
Par conséquent, la première partie :
-   spécifie des méthodes pour le mesurage dans des conditions de laboratoire des bruits aériens et structuraux produits par les baignoires à brassage connectées à des structures à faible mobilité ; dans le cas des baignoires à brassage, les structures de bâtiments ayant une masse surfacique supérieure ou égale à 220 kg/m2, éléments creux exclus, sont considérées comme des éléments à faible mobilité ;
-   définit l’expression des résultats, y compris les données de comparaison des produits (indices uniques) et des données d’entrée pour la méthode de prévision (la relation avec l'EN 12354-5 est expliquée dans l’Annexe B).

Akustične lastnosti gradbenih elementov in stavb - Laboratorijsko merjenje zvoka v zraku in strukturalnega zvoka v gradbenih elementih - Poenostavljeni primeri, kjer je premik opreme mnogo večji od gibanja sprejemnika, kot so na primer masažne kadi

General Information

Status
Withdrawn
Public Enquiry End Date
19-Aug-2007
Publication Date
15-Jul-2009
Withdrawal Date
09-Aug-2017
Technical Committee
Current Stage
9900 - Withdrawal (Adopted Project)
Start Date
10-Aug-2017
Due Date
02-Sep-2017
Completion Date
10-Aug-2017

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2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.Akustische Eigenschaften von Bauteilen und von Gebäuden - Messung des Luft- und Körperschalls von haustechnischen Anlagen im Prüfstand - Teil 1: Vereinfachte Fälle, in denen die Admittanzen der Anlagen wesentlich höher sind als die der Empfänger am Beispiel von WhirlwannenPropriétés acoustiques des éléments de construction et des bâtiments - Mesurage en laboratoire des bruits aériens et de structure des éléments de construction - Partie 1: Cas simplifiés prenant comme exemple les bains bouillonnantsAcoustic properties of building elements and of buildings - Laboratory measurement of airborne and structure borne sound from building equipment - Part 1: Simplified cases where the equipment mobilities are much higher than the receiver mobilities, taking wirlpool baths as an example91.120.20L]RODFLMDAcoustics in building. Sound insulation17.140.01Acoustic measurements and noise abatement in generalICS:Ta slovenski standard je istoveten z:EN 15657-1:2009SIST EN 15657-1:2009en,de01-september-2009SIST EN 15657-1:2009SLOVENSKI
STANDARD



SIST EN 15657-1:2009



EUROPEAN STANDARDNORME EUROPÉENNEEUROPÄISCHE NORMEN 15657-1June 2009ICS 91.120.20 English VersionAcoustic properties of building elements and of buildings -Laboratory measurement of airborne and structure borne soundfrom building equipment - Part 1: Simplified cases where theequipment mobilities are much higher than the receivermobilities, taking wirlpool baths as an examplePropriétés acoustiques des éléments de construction etdes bâtiments - Mesurage en laboratoire des bruits aérienset de structure des éléments de construction - Partie 1: Cassimplifiés prenant comme exemple les bains bouillonnantsAkustische Eigenschaften von Bauteilen und vonGebäuden - Messung des Luft- und Körperschalls vonhaustechnischen Anlagen im Prüfstand - Teil 1:Vereinfachte Fälle, in denen die Admittanzen der Anlagenwesentlich höher sind als die der Empfänger am Beispielvon WhirlwannenThis European Standard was approved by CEN on 20 May 2009.CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this EuropeanStandard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such nationalstandards may be obtained on application to the CEN Management Centre or to any CEN member.This European Standard exists in three official versions (English, French, German). A version in any other language made by translationunder the responsibility of a CEN member into its own language and notified to the CEN Management Centre has the same status as theofficial versions.CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland,France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal,Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.EUROPEAN COMMITTEE FOR STANDARDIZATIONCOMITÉ EUROPÉEN DE NORMALISATIONEUROPÄISCHES KOMITEE FÜR NORMUNGManagement Centre:
Avenue Marnix 17,
B-1000 Brussels© 2009 CENAll rights of exploitation in any form and by any means reservedworldwide for CEN national Members.Ref. No. EN 15657-1:2009: ESIST EN 15657-1:2009



EN 15657-1:2009 (E) 2 Contents Page Foreword .4Introduction .51Scope .62Normative references .63Terms and definitions .64Symbols .75Principle of the test method .75.1Airborne sound measurement .75.2Structure borne sound measurement .86Measuring equipment .86.1Requirements for the frequency range .86.2Requirements for the acoustic measuring equipment .86.3Requirement for the vibration measuring equipment .87Test facilities .87.1Test room .87.1.1Construction requirements .87.1.2Acoustic requirements .87.2Three plate test rig .98Mounting of the specimen .99Test procedure and evaluation . 109.1Operating conditions . 109.2Airborne sound measurement procedure . 109.3Structure borne sound measurement . 109.4Sound power calculation . 119.5Structural power calculation . 119.5.1Structural power injected to the reception plate . 119.5.2Correction with respect to a characteristic reception plate . 119.5.3Characteristic reception plate mobility . 1110Calculation of single number descriptors . 1210.1General . 1210.2Single number descriptor for airborne sound . 1210.3Single number descriptor for structure borne sound . 1210.3.1Reference structure borne sound pressure level . 1210.3.2Single number descriptor . 1211Precision . 1311.1Repeatability . 1311.2Reproducibility . 1312Expression of results . 1313Test report . 13Annex A (normative)
List of symbols . 15Annex B (informative)
Link to EN 12354-5 . 16B.1General . 16B.2Airborne sound . 16B.3Structure borne sound . 16SIST EN 15657-1:2009



EN 15657-1:2009 (E) 3 B.4List of symbols . 17B.5Remark. 17Annex C (normative)
Calculation of the reference structure borne sound pressure level . 18C.1Reference building configuration . 18C.2Transmission functions . 18C.3Reference structure borne sound pressure level . 19Annex D (informative)
Example of an existing test rig . 20Annex E (informative)
Measurement procedure for the tub filling phase, using a reference water jet . 23E.1General . 23E.2Specification for a defined water jet . 23E.3Test procedure . 24Bibliography . 25 SIST EN 15657-1:2009



EN 15657-1:2009 (E) 4 Foreword This document (EN 15657-1:2009) has been prepared by Technical Committee CEN/TC 126 “Acoustic properties of building elements and of buildings”, the secretariat of which is held by AFNOR. This European Standard shall be given the status of a national standard, either by publication of an identical text or by endorsement, at the latest by December 2009, and conflicting national standards shall be withdrawn at the latest by December 2009. Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. CEN [and/or CENELEC] shall not be held responsible for identifying any or all such patent rights. According to the CEN/CENELEC Internal Regulations, the national standards organizations of the following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom. SIST EN 15657-1:2009



EN 15657-1:2009 (E) 5 Introduction This European Standard, prepared by CEN/TC 126/WG 7, specifies methods for the measurement of airborne and structure borne sound produced by building equipment under laboratory conditions. It is the task of WG 7 to prepare laboratory test methods to determine the source characteristics, while WG 2 concentrates on the method predicting the airborne and structure-borne sound pressure levels produced in the buildings; the prediction method, described in document EN 12354-5, is based on power flow considerations and uses the laboratory test results as input data. The link to WG 2 is explained in more details in an informative annex (Annex B). The quantities considered in this standard are the following: a) the airborne sound is characterized by the airborne sound power radiated by the equipment; this power is calculated from the airborne sound measured in a test room in which the equipment is mounted; b) the structure-borne sound is characterized by the structural power injected by the equipment to the receiving structure to which the equipment is connected; since, in general, the equipment is connected up to three building elements (two walls and one floor), a three plate test rig is used and three structural power components are determined, calculated from vibration velocities measured on the plates. When the equipment is mounted on low mobility structures (having point mobilities much lower than the mobilities measured on the equipment), the coupling between the source and the receiving structure is simpler and the way of transforming the power components measured in laboratory into the power components injected in situ to the building elements, greatly simplified. This first part (part 1) of the standard is restricted to these simplified cases; a second part (part 2) applicable to the other cases will be a future task of WG 7 and is not available yet. SIST EN 15657-1:2009



EN 15657-1:2009 (E) 6 1 Scope Part 1 of this European Standard shall apply to any source –receiver configuration where the receiver mobility is 10 dB below the source mobility (see definition of mobility in Clause 3 below). However, part 1 is restricted for the moment to whirlpool baths since only this type of building equipment has been experimentally studied so far; for other types of building equipment, the principle of the method is still valid, but some details in the standard might not be relevant. Therefore, this first part:  specifies methods for the measurement under laboratory conditions of airborne and structure borne sound produced by whirlpool baths connected to low mobility structures; for the case of whirlpool baths, building structures of mass per unit area equal or greater than 220 kg/m2, hollow elements excluded, are considered as low mobility elements;  defines the expression of the results, including data for comparison between products (single value descriptors) and input data for the prediction method (link to EN 12354-5 explained in Annex B). 2 Normative references The following referenced documents are indispensable for the application of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies. EN ISO 140-1:1997, Acoustics – Measurement of sound insulation in buildings and of building elements – Part 1: Requirements for laboratory test facilities with suppressed flanking transmission (ISO 140-1:1997) EN ISO 140-3:1995, Acoustics – Measurement of sound insulation in buildings and of building elements – Part 3: Laboratory measurements of airborne sound insulation of building elements (ISO 140-3:1995) EN ISO 3741:1999, Acoustics – Determination of sound power levels of noise sources using sound pressure – Precision methods for reverberation rooms (ISO 3741:1999) EN ISO 10848-1:2006, Acoustics – Laboratory measurement of the flanking transmission of airborne and impact sound between adjoining rooms – Part 1: Frame document (ISO 10848-1:2006) ISO 5348:1998, Mechanical vibration and shock – Mechanical mounting of accelerometers ISO 7626-1:1986, Vibration and shock – Experimental determination of mechanical mobility – Part 1: Basic definitions and transducers ISO 7626-2:1990, Vibration and shock – Experimental determination of mechanical mobility – Part 2: Measurements using single-point translation excitation with an attached vibration exciter ISO 16063-21:2003, Methods for the calibration of vibration and shock transducers – Part 21: Vibration calibration by comparison to a reference transducer 3 Terms and definitions For the purposes of this document, the following terms and definitions apply. 3.1 specimen object of tests according to this European Standard active building component (to be connected to building structures) SIST EN 15657-1:2009



EN 15657-1:2009 (E) 7 3.2 whirlpool bath completely assembled unit which comprises a bath, water and/or air agitating device and associated electrical installation and in which noise and vibration control treatments such as resilient mounts can be included 3.3 overflow level level at which water in the bath will start to flow through any overflow pipe 3.4 reception plate power component structural power, measured in laboratory, injected to each plate of the test rig 3.5 point mobility of a plate frequency dependent ratio of the complex (amplitude and phase) vibrational velocity that a point force produces at its point of application, to the (complex) force applied, both force and velocity being normal to the plate 3.6 characteristic mobility of a plate point mobility of an infinite plate that has the same thickness and that is made of the same material as the plate considered 3.7 characteristic reception plate fictive plate having a constant input mobility of 5 10-6 m/Ns
NOTE See 9.5.3. 3.8 installed power component structural power (calculated) injected to each building element to which the equipment is connected (input datum for the prediction method) 3.9 reference structure borne sound pressure level structure borne sound pressure level obtained when mounting the equipment in the reference building 3.10 reference building well defined building configuration in which the equipment is fictively mounted and used when comparing products 4 Symbols A list of the symbols and units used in this European Standard is given in Annex A. 5 Principle of the test method 5.1 Airborne sound measurement The specimen is mounted inside the test room. The sound in the test room, produced as airborne sound radiated from the object, is measured. The source sound power is then estimated from the measured sound corrected for background noise, and from the measured reverberation time of the test room. Later in the process of calculation, a single value descriptor for the source sound power is calculated (see Clause 10). SIST EN 15657-1:2009



EN 15657-1:2009 (E) 8 NOTE The structure borne sound radiated by the structures, to which the specimen is connected, is usually much lower than the airborne sound and can be neglected; nevertheless, the validity of this assumption can always be checked afterwards by calculating the structure borne contribution using the prediction method given in EN 12354-5 and by comparing the result to the airborne sound measured. 5.2 Structure borne sound measurement The specimen is connected to a three plate test rig. The spatially averaged vibration velocities of the three plates (reception plates) are measured. The three structural powers injected to the plates are then estimated from the measured velocities corrected for background vibration and from the measured structural reverberation times of the plates. The results are then corrected for the difference in input mobility between the reception plates used and a characteristic reception plate, leading to three characteristic reception plate power components (see Clause 9), which can be used in round robin tests. Later in the process of calculation, a single value descriptor for the source structural power is calculated (see Clause 10). 6 Measuring equipment 6.1 Requirements for the frequency range Throughout this standard the frequency range is limited to the twenty one 1/3 octave bands with mid-frequencies from 50 Hz to 5000 Hz.
NOTE Guidance for airborne sound measurements at 1/3 octaves 50 Hz, 63 Hz and 80 Hz is given in
EN ISO 140-3:1995, Annex F. 6.2 Requirements for the acoustic measuring equipment The measuring equipment shall comply with the requirements of EN ISO 140-3:1995, Clause 4. 6.3 Requirement for the vibration measuring equipment The vibration transducers used shall be calibrated according to ISO 16063-21:2003 and fixed according to ISO 5348:1998. 7 Test facilities 7.1 Test room 7.1.1 Construction requirements For airborne sound measurements, the test room shall have a volume of at least 50 m3. Each of the test room walls shall not be less than 3,5 m wide and shall have a minimum mass per surface area of 230 kg/m2 if the equipment is directly connected to it. 7.1.2 Acoustic requirements According to EN ISO 140-1:1997, the reverberation time shall be in the range 1s - 2s. SIST EN 15657-1:2009



EN 15657-1:2009 (E) 9 7.2 Three plate test rig
Key 1 Resilient material Figure 1 — Schematic drawing of the three plate test rig The three plates shall be isolated from each other (see Figure 1), the corresponding velocity level difference, measured according to EN ISO 10848-1 without the equipment installed, being greater than 10 dB in each frequency band. The three plates shall be made of concrete (density of 2300 ± 200 kg/m3), have a thickness of 10 ± 1 cm, a minimum surface area of 5 m2 and preferably more than 7 m2, a ratio length/width close to 2 and a minimum loss factor at low frequencies (50-100 Hz) of 8 %. The loss factor η can be estimated from the structural reverberation time Ts of the plate using: η = 2,2 / (f Ts) (1) The minimum dimension of the plates must be equal or greater than the maximum dimension of the specimen. The specimen must not overhang the edge of the reception plate when installed. The example of an existing three plate test rig is given in Annex D. 8 Mounting of the specimen The mounting is performed exactly according to the instructions given by the manufacturer (or distributor or other interested party) of the product; it shall be described in full detail in the test report. The bathtub is measured with skirt according to the instructions given by the manufacturer. If the three plate test rig is located in the test room, the measurement of airborne and structure borne sound power can be made sequentially on the same setup of the specimen; the bathtub is connected to the three plate test rig as in real building, according to the instructions given by the manufacturer. If the three plate rig is not installed in the test room, then the measurements of airborne and structure borne sound power are made separately; for the airborne sound measurements, the bathtub is installed in a corner of the test room or as near to it and connected to the walls and floor as in real building, according to the instructions given by the manufacturer. SIST EN 15657-1:2009



EN 15657-1:2009 (E) 10 9 Test procedure and evaluation 9.1 Operating conditions With the rim of bath level, the bath is filled to the overflow level with water. The tub filling phase noise might not be dominant for whirlpool baths, but this phase is not excluded; a method using a reference water jet is proposed in Annex E for this filling phase. The whirlpool system is then switched on and the different following operating phases are tested (each active unit working separately or switched on together): a) blower on, full speed; b) pump on, full speed; c) blower + pump, both full speed. 9.2 Airborne sound measurement procedure Both the spatially averaged sound pressure level Lp in the test room and the reverberation time T of the room are measured in 1/3-octave bands according to EN ISO 140-3:1995. The sound pressure levels are then corrected for background noise according to EN ISO 140-3:1995; levels at the limit of measurement shall be clearly indicated. 9.3 Structure borne sound measurement For each plate i of the test rig, both the spatially averaged vibration velocity level Lv,i on the plate and the structural reverberation time Ts of the plate shall be measured. The energetic space average of the velocity is calculated with: 292ni,22i,21i,iv,)10(.lg10−+++=nvvvL (2) where vi,1, vi,2, vi,n are r.m.s. (root mean square) velocities in m/s at n different positions on element i, n being not less than 6. The measurement points shall be as far as possible from the equipment connection points and from the edges of the reception plate. At each measurement point, the velocity is measured in 1/3 octave band according to EN ISO 10848-1:2006. The structural reverberation time of each plate is measured in 1/3-octave bands according to
EN ISO 10848-1:2006, 7.3. The velocity levels are then corrected for background vibration with the same procedure as for sound pressure levels; levels at the limit of measurement shall be clearly indicated. SIST EN 15657-1:2009



EN 15657-1:2009 (E) 11 9.4 Sound power calculation The airborne sound power level LWa (dB ref. 10-12 Watt) is calculated from the measured sound pressure level Lp (ref. 2.10-5 Pa) and reverberation time T of the test room (of volume V), according to: LWa = Lp – 6 – 10 lg (0,16 V / T) (3) 9.5 Structural power calculation 9.5.1 Structural power injected to the reception plate For each plate (index i), with mass per unit area mi and surface Si, the structural power level LWs,i (dB ref. 10-12 Watt) injected to the plate by the specimen is calculated from the measured spatially averaged vibration velocity level Lv,i (ref. 10-9 m/s) and the loss factor ηi, according to: LWs,i = 10 lg(ηI 2πf mi Si) + Lv,i – 60 (4) The loss factor is calculated from the measured structural reverberation time of the plate using Equation (1). NOTE There should be no significant difference if the structural reverberation time is measured with or without the equipment connected to the reception plate considered. 9.5.2 Correction with respect to a characteristic reception plate The three plates of the test rig shall be calibrated for each structure borne sound source tested. The calibration consists in measuring the real part of the input mobility of the reception plate at the source connection points in 1/3 octave bands and in calculating its average )Re(irec,Y over the measurement points. The mobility measurements are performed according to ISO 7626-1:1986 and ISO 7626-2:1990. The input mobility of the reception plates can also be measured on a grid, separately; then, for any source tested, the grid measurement points the closest to the source connection points can be used to calculate the average mobility required in the standard. A characteristic reception plate mobility Y∞,rec (given below) is then used to correct the structural power level measured according to: ()rec,irec,Ws,iWsn,iRelg10YYLL∞+= (5) where LWsn,i is the level of the characteristic reception plate power component i. 9.5.3 Characteristic reception plate mobility The characteristic input mobility Y∞ of a plate is a real value, independent on frequency and only dependent on the mass per unit area m and the bending stiffness B of the plate: )8/(1BmY=∞ (6) The characteristic reception plate mobility Y∞,rec has been chosen as the characteristic mobility of a 10 cm thick concrete plate of value:
SIST EN 15657-1:2009



EN 15657-1:2009 (E) 12 Y∞,rec =
5 10-6 m/Ns
(7) 10 Calculation of single number descriptors 10.1 General Single number descriptors are obtained by calculating the A weighted single value of the airborne and the structure borne sound pressure levels produced by the source fictively installed in two reference building configurations successively. 10.2 Single number descriptor for airborne sound The source fictively installed in a room of equivalent absorption area A = 10 m2 will produce at sufficient distance a normalized airborne sound pressure level Lan equal to: Lan = LWa – 4 (8) The A weighted single value Lan,A of this normalized level is then calculated from the 1/3 octave values Lan,j of its spectrum by: =∑=+211j10/)DL(Aan,jA,jan,10lg10L (9) where DA,j are the attenuation values of the A-weighting filter in the frequency range used (EN ISO 3741:1999, Annex F). 10.3 Single number descriptor for structure borne sound 10.3.1 Reference structure borne sound pressure level The equipment is fictively connected to the reference floor-wall configuration described in Annex C. The normalized reference structure borne sound pressure level Lsn produced in the receiving room (of equivalent absorption area A = 10 m2) is then estimated using the calculation method given in Annex C. 10.3.2 Single number descriptor The A weighted single value Lsn,A of the normalized reference structure borne sound pressure level estimated in Annex C i
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