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NRC‐IRC Indoor Environment Program ‐ Acoustics
Acoustical performance of buildings:Current practice, research, and code requirements
NRC - Institute for Research in Construction
Stefan SchoenwaldTrevor Nightingale
NEWBuildS, Research Exchange, June 13th/14th 2011, Ottawa
NRC‐IRC Indoor Environment Program ‐ Acoustics
Outline
• Building Code Requirements in Canada• Current Common Design Practice• Good Acoustical Design Practice• Wood Construction in Canada• Available Research Outcomes and Challenges• Conclusions
2
NRC‐IRC Indoor Environment Program ‐ Acoustics
National Building Code Canada 2010Sound Insulation Requirements
• Code recognizes high levels of sound due to noise intrusion from adjacent spaces in the building as health risk as code objective
• Code addresses only limitation of transmission of airborne sound into a residential unit from spaces elsewhere in the building in its functional statements
• Code provisions require…
o STC 50 (sound transmission class) for airborne sound insulation of building element that separates residential unit from other spaces in the building, or…
o STC 55 in case of elevator hoist way or refuse chute
3
NRC‐IRC Indoor Environment Program ‐ Acoustics
Requirement NBC 2010 Element Performance - STC 50/55
• NBC 2010 assumes that sound is mainly transmitted through partition between dwellings
• Design details of walls and floors for wood buildings in compliance with requirements are given in the building code
STC 50
STC 50
STC 50STC 50
direct
direct
4
Current practice focuses on sound insulation of element only!
Code requirement is not fully consistent with code objective!
NRC‐IRC Indoor Environment Program ‐ Acoustics
Sound Insulation in Real BuildingsSystem Performance
• In buildings occupants perceive apparent airborne sound insulation determined by…
- Direct sound insulation of partition - Flanking sound insulation involving adjoining elements
• NBC Standing Committee on Environmental Separations:Task group deciding on form and technical material necessary to support a likely code change in NBC 2015
• All OECD countries have code requirement for apparent sound insulation except Canada
direct
direct
5
Flanking
Flanking
?
Flanking
Flanking
?
Paradigm shift in building practice!
NRC‐IRC Indoor Environment Program ‐ Acoustics
System Performancevs. Current Practice
Complaints on sound insulation in building:
• Measures at separating element to improve direct sound insulation (e.g. additional layers of gypsum board, resilient channels, etc.)
• However, flanking sound insulation often weakest link
• No improvement of apparent sound insulation experienced by occupantsdirect
6
Flanking
Flanking
? Good building design practice considers system performance!
Flanking
Flanking
?directdirect
direct
NRC‐IRC Indoor Environment Program ‐ Acoustics
Noise sources not addressed by NBC 2010Impact
• Noise generated by people walking on floor assembly and transmitted to adjacent dwellings
• Apparent sound insulation, direct and flanking, must be considered
• No requirement for impact sound insulation in NBC
• All other OECD countries have code requirement for system performance for impact sound insulation
• Number one source of complaint by building occupants
Flanking
direct
Flanking
Flanking
7
?
?Good design practice considers
apparent impact sound insulation!
NRC‐IRC Indoor Environment Program ‐ Acoustics
Noise sources not addressed by NBC 2010Plumbing / Equipment Noise
• Noise generated by plumbing, equipment and HVAC-systems in buildings
• Structure-borne excitation and transmission usually most important
• No NBC requirement to limit plumbing/equipment noise
• Some OECD countries have code requirements to limit noise levels due to building appliances
8
?
? Plumbing/equipment noise should be considered in good building
design practice!
NRC‐IRC Indoor Environment Program ‐ Acoustics
Noise Sources not addressed by NBC 2010Outdoor Noise
• Noise intrusion from outside into the building through exterior walls, curtain walls, facades and roof:
-Traffic noise
-Aircraft noise
• Noise intrusion recognized by World Health Organization (WHO) as health risk (e.g., sleep disturbance)
9
Flanking
Flanking
direct ?
Building envelope must provide appropriate sound insulation!
NRC‐IRC Indoor Environment Program ‐ Acoustics
Occupancy types not addressed by NBCOffices, Commercial,…
Examples:
• Closed Offices and Meeting RoomsSpeech privacy performance and criteria based on sound insulation of complete building system (not just an element)
• Open Plan OfficesWorkers require freedom from distraction, and minimal health/annoyance risks due to noises and interruption
10
Flanking
Flanking
direct
Best practice guides, if available, to be followed for good design practice!
NRC‐IRC Indoor Environment Program ‐ Acoustics
Good acoustical design practiceensures…
• that buildings conform with minimum acoustical code requirements
• occupant satisfaction and market acceptance, by-meeting more stringent acoustical criteria for system
performance -considering other noise sources (impact, exterior noise…)-guaranteeing acoustical conditions necessary for intended
building use (limited background noise, speech security...)
11
Research necessary to provide knowledge base and guidelines!
NRC‐IRC Indoor Environment Program ‐ Acoustics
Wood Construction in Canada
Wood frame / Stick-built• Platform construction• Most common wood construction method in North America• Low-rise buildings (up to and including 4 storey)
Heavy Timber• Post and beam construction, e.g. with Glulam• Cross Laminated Timber (CLT),…• Material of choice for mid-rise buildings in Europe• Emerging market in Canada
Wood-Hybrid• Combination of wood with others (e.g. wood-concrete)• Likely solution for future taller buildings
12
NRC‐IRC Indoor Environment Program ‐ Acoustics
NRC-IRC Research onSound Insulation – Stick-Built
Many research projects with partners (FPInnovations and others) on airborne and impact sound transmission in multi-family wood frame construction• Elements (direct transmission only)- NRC-IRC and industry reports on walls and floors - Code tables
• Systems- Guide for Sound Insulation in Wood Frame Construction, March 2006- “soundPATHS – wood”: “Predictor for Apparent Transmission of Household Sound in
Wood Frame Multi-Family Construction”, planned release 2011
• Design solutions for foreign markets with stringent requirements- “Design Details and Electronic Best Practice Guide for Sound Insulation in Japanese
and Korean 2x4 Multi-Unit Buildings”, COFI Japan/Korea, Japan delivered March 2010
13
NRC‐IRC Indoor Environment Program ‐ Acoustics
Research Challenges forTaller Stick-Built Buildings
Limited or no data for…• Wood frame assemblies with small joist and stud spacing
Decreased spacing of framing members required to carry heavy loads reduces sound insulation (of both the element and building system)
• Shear braced wood frame assemblies with/without tie-downsIncreased shear bracing for seismic and vibration serviceabilityrequirements typically reduces sound insulation (of both the element and building system)
• Fire stops and Fire blockings necessary for mid-rise buildingsFire resistance may require enhanced fire stops and fire blocking at junctions of building elements while maintaining sound insulation (of both the element and building system)
• Hybrid construction (e.g. wood frame with concrete elements)Concrete shear walls and concrete decks may be beneficial in achieving fire and seismic requirements while maintaining sound insulation (of both the element and building system)
• Facades and curtain wallsTypically not used in low-rise construction
14
NRC‐IRC Indoor Environment Program ‐ Acoustics
Research and Challenges – Heavy Timber and CLT
CanadaFPInnovations with FCBA, France: Direct sound insulation of CLT (CLT Handbook)
Sweden, world wide leader in innovative wood systems: Lund University: CLT structuresVäxjö University: Design and evaluation of 8 storey buildings Luleå University of Technology: Modular mid-rise wood buildings
Alpine countries (Austria, Germany, Italy, Switzerland):University of Technology Graz and spin-offs: CLT-elementsRosenheim, IfT, University of Applied Sciences: Solid wood floors with dampersUniversità IUAV di Venezia: CLT-building system
“progettosofie”
COST FP0702 “Net-Acoustics for Timber Based Lightweight Buildings and Elements”, ending November 2011
15
Challenge: Acoustic system performance of Canadian innovative wood construction!
NRC‐IRC Indoor Environment Program ‐ Acoustics
Conclusions forResearch on Sound Insulation
• Many research challenges for sound insulation of innovative wood construction technologies
• Research goal is providing knowledge base for Best Practice and not only compliance with building code
• To achieve the goal…– More stringent requirements than code must be considered– Interdependencies between building disciplines are important– outcomes of other research project must be recognized and
research conducted in parallel must be coordinated
• Knowledge transfer of outcomes necessary to address a wide audience (Guidelines, design tools, etc)
16
Location:Date:
Floor Vibration Serviceability
Lin HuBuilding Systems Scientist
IRC, OttawaJune 13, 2011
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Human Activity and Floor Serviceability
3
Human Activities
Vibrate Air Vibrate Floors
>50 Hz >25 Hz <25 Hz
Occupants hear (impact sound)
Occupants hear(Airborne sound)
Occupants feel (floor movement
or vibration)
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Serviceability Issues – View fromFrequency Spectrum
4
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Floor Vibration (<25Hz)
5
After S. Ohlsson, 1984, "Springness and human inducedfloor vibration" – A design guide
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Controlling Floor Vibrations-Challenges
6
Mysterious Fundamentals
Simple and Reliable Design Method-for Current and Future Floor Constructions
Practical Construction Solutions
On-Line Quality Control Tools for Floor Components
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Part-1
7
Mysterious Fundamentals
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Issues in Fundamentals
8
Characterize footstep excitation force
Find the common key personality (signature) trait in a broad range of wood-based floors with greatly varied details
Identify the type of floor response to footstep force
Lesson: many floor researchers did not pay attention to the fundamentals, and got lost in the complexities of floor vibrations
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Current Knowlege of the Characteristics of Footstep Force Generated by Walking
10
30 ms-100 ms duration of the heel impact force of each footstep
continuous series of footsteps consisting of a wave train of harmonics, as a multiple of about 2 Hz, the footstep frequency
the first harmonic at about 2 Hz was the predominant component
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Evolution of Wood-Based Floors
12
1. Lumber joisted floor2. Engineered wood joisted floor
No topping or radiant floor
Topping or radiant floor
Wood topping or radiant floor
Cementitioustopping orradiant floor
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Evolution of Wood-based Floors
13
Replace conventionalconcrete-steel trussfloor in non-residentialfloors . . .
3. Hybrid wood floor
Light steel-gauge joistwood deck
Steel trusswood deck
. . . by wood-steel truss hybridfloors
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Evolution of Wood-based Floors
14
(Source: Johann Betz, UBC, 2006)
Under view of a CLT floor
4. Massive wood slab non-joisted floor
Glulam wood slab
Cross-Laminated Timber (CLT)
Innovative massivewood slab
Concept of CLT
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Evolution of Wood-based Floors
15
5. More to come !
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
How To Find the Common Key Personality Traits
16
Look at the floor constructions, we are lost in the large variety
Go to the fundamentals, we see dynamic properties of wood-based floors are the common key personality trait
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Fundamentals – Dynamic Properties
17
Down to earth, only three key parameters control the vibrations of any type of floor:
Mass
Stiffness
Damping
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Floor Area Mass Spectrum
18
A continuous spectrum of area mass of various floors (kg/m2)
Type-1 Type-6Type-7
Type-4Type-5
Type-2
Type-3
20 40 50 100 200
Type-1: wood or light steel gauge joisted floor without toppingType-2: wood or light steel gauge joisted floor with wood toppingType-3: steel truss joisted floor with thick wood deckType-4: wood or light steel gauge joisted floor with cementitious topping;
Heavy glulam or timber joist with thick wood deckType-5: massive wood slab non-joisted floor Type-6: steel truss joisted floor with steel-concrete deckType-7: concrete slab non-joisted floor; wood-concrete composite
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Floor Fundamental FrequencySpectrum
19
Fundamental natural frequency spectrum of floors
Type-6 and Type-7 floors
SatisfactoryType-2 to Type-5
floors
SatisfactoryType-1 floors
>15 Hz
10 Hz
>10 Hz<10 Hz
Type-1: wood or light steel gauge joisted floor without toppingType-2: wood or light steel gauge joisted floor with wood toppingType-3: steel truss joisted floor with thick wood deckType-4: wood or light steel gauge joisted floor with cementitious topping;
Heavy glulam or timber joist with thick wood deckType-5: massive wood slab non-joisted floor Type-6: steel truss joisted floor with steel-concrete deckType-7: concrete slab non-joisted floor; wood-concrete composite
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Damping in Wood-Based Floors
20
Less from material
Major from construction:
- joints- connections- supports- furniture- partitions- human presence- etc.
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Damping in Wood-Based Floors
21
Around 3% for base wood-joisted floors
Around 1-2% for base wood-joisted floors with cementitious topping
Around 1% for base wood-massive non-joisted slab floors
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Lightweight Floor Responses to Footsteps
23
Vibration response of a field wood-framed floor to footstep force from a person walking
-1.5
-1
-0.5
0
0.5
1
1.5
0 0.5 1 1.5 2 2.5 3
Time (Second)
Acc
eler
atio
n (g
)
Transient response predominates
(Floor fundamental natural frequency > 8-10 Hz, ex. wood-based floors)
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Characteristics of Transient Response
24
1) quick diminution
2) taking place at more than one floor natural frequencies
3) peak amplitude is predominately governed by system stiffness and mass
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Heavyweight Floor Responses to Footsteps
25
Walking acceleration response of an office floor having a fundamental natural frequency of 5.1 Hz published by Murray, Allen and Ungar
Resonance with a harmonic of the footstep frequency predominates
(Floor fundamental natural frequency < 8-10 Hz , ex. concrete floors)
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Characteristics of Resonance
26
1) long lasting 2) taking place at
one natural frequencies
3) peak amplitude is predominantly governed by system damping
0
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Human Response to Floor Vibrations
27
1) more tolerant to short duration than long duration vibrations
2) most sensitive to vibrations with frequencies in the range of 4 to 8 Hz
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Part-2
28
Development of Simple and Reliable Design Methods
for a Broad Range of Wood-Based Floors
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Challenges
29
A simplest method:• Simplest criterion using the parameters can be predicted
and correlated to human perception in a reliable way• Simplest calculation equations capturing the major
construction parameters that significantly affect floor vibration behaviour and human perception
Reliable
For current and future floors
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Approaches
30
Field FloorPerformance Testing
Consumer Survey
Floor PerformanceFloor PerformanceIndicators:Indicators:
D, F, A, V, dampingD, F, A, V, damping
Occupants'Occupants'ComfortComfort
Correlation Between Occupant Comfort and Measured Performance
Indicators
FEM Modeling, Simple Equation
Predict Predict PerformancePerformance
IndicatorsIndicators
Laboratory Testing
Verify Verify PredictivePredictive
ToolsTools
Predicted PerformanceIndicators
Vibration Controlled Design Method:
Design Criterion and Predictive Tools
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Identify the Significant Construction Parameter through . . .
31
Laboratory study on floors with varying construction parameters to understand their effects on human perception and vibration behaviour
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Step-1: Indentify Performance IndicatorsCorrelated to Human Perception
33
Fundamental Natural Frequency
Root-Mean-Square Acceleration
Peak Acceleration
Initial Velocity
Point Load Deflection + Mass
Point Load Deflection
+
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Step-2: Select the Indicators and Predict Them – Design Equations
34
Selected f and d
Chui’s Ribbed Plate Equations: - Include all construction parameter
- Comprehensive
..5,3,1 ..5,3,1
42441
4
14m n
yxyx
kN
DbnD
abmnD
amab
Pd
in m
424
11141
2
bD
abD
aDf yxyx
in H z
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Step-3: Correlate Human Perception to Calculated f and d – Design Criterion
35
Where:d1kN = computed 1 kN static deflection of a bare
floorf1 = computed fundamental natural frequency
of a bare floor
7.18)( 44.0
1
1 kNdf
or 27.211 )
7.18( fd kN
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Verify the Design Method Using 106 Field Wood-Joisted Floors
36
0
0.5
1
1.5
2
2.5
3
3.5
0 10 20 30 40
Calculated Fundamental Natrual Frequency (Hz)
Cal
cula
ted
1 kN
Sta
tic D
efle
ctio
n (m
m) Design criterion of f/d^0.44>18.7
Acceptable floors by occupants Unacceptable floors by occupants
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Previous Knowledge
38
Human perception correlated to the combination of floor fundamental natural frequency and point load
deflection
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Knowledge – CLT Dynamic Behaviour
39
Bare light-weight joisted floor
Bare CLT floor
Bare steel-concrete, concrete slab
floor
Mass/Area (kg/m2) 15-30 30-150 >150
Fundamental Natural Frequency (Hz)
>15 >9 <9
Damping Ratio (%) 3 1 1
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Equations to Calculate f and d –Design Equation
40
Simplest
Only use longitudinal stiffness and mass: - Type of current joints not significant- One way behaviour of massive wood slab similar to concrete slab
AEI
lf
meff
1
22142.3
meffEI
Pld 1
3
481000
P = 1000 (N)l = span (m) = density (kg/m3)A = area of 1 m wide CLT (m2 )
= effective apparent stiffness in span direction of 1 m wide CLT (N-m2)
meffEI1
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Correlate Human Perception to Calculated f and d – Design Criterion
41
0.137.0 d
f
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Verification of the Design Methodfor CLT
42
Predicted CLT floor vibration performance vs. subjective ratings
0.00
0.50
1.00
1.50
2.00
0 2 4 6 8 10 12 14 16 18
Cal
cula
ted
1kN
Sta
tic D
efle
ctio
n(m
m)
Criterion ( f/d 0̂.7>13.0)Unacceptable MarginalAcceptable
Calculated Fundamental Natural Frequency (Hz)
137.0 d
f
>13
<13
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Proposed Design Method vs. CLTdesigner
43
CLT thickness (mm)
FPInnovations’design method
proposed span (m)
CLTdesignerproposed span for 1% damping and
no topping floors (m)(Schickhofer, 2010)
100 3.58 3.53120 3.76 3.75140 4.50 4.43160 4.80 4.76180 5.16 5.14200 5.68 5.67220 5.84 5.89240 6.09 6.17
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Simple Form of the CLT Design Method
44
l = vibration controlled span (m) = density (kg/m3)A = area of 1 m wide CLT (m2)
meffEI1 = effective apparent stiffness in span direction of 1 m wide
CLT (N-m2)
123.0
293.01
)()(
15.91
AEI
lm
eff
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
Final Remark
45
Use systems approach to address floor vibration issues
Develop construction solutions to floor vibrations that do not conflict with other performance attributes
© 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
® FPInnovations, its marks and logos are registered trademarks of FPInnovations.
@ 2011 FPInnovations. All rights reserved. Copying and redistribution prohibited.
To reach us:Lin J. Hu, Ph.D.Scientist – Building Systems418 659-2647 #3103
46
Research Exchange Theme IIOttawa 13-14 June 2011
Session 2 – Vibrations and acoustics
Vibrations of tall buildingsby
Ghyslaine McClureAssociate Professor
McGill University
Outline
• Context of project T2-5-C2 and Goal
• Why measure dynamic characteristics of wood/hybrid buildings?
• Some AVM results for tall buildings in Montreal
• Motivation for future work
2Theme II Research ExchangeOttawa, 13 June 2011
Context of project T2-5-C2Predicting lateral drift and natural period of
mid-rise wood and hybrid buildings
• Phase 1: Measuring the dynamic characteristics of mid-rise wood and hybrid buildings – work with Prof. Ghasan Doudak and Nidaa Elwan (U. of Ottawa)
• Use of AVM on previous PhD research by Damien Gilles (linked to CSRN) to find improved predictors for natural frequencies and damping of tall buildings in Montreal;
http://digitool.library.mcgill.ca/R/
IN SITU DYNAMIC CHARACTERISTICS OF REINFORCED CONCRETE SHEAR WALL BUILDINGS, February 2011.
3Theme II Research ExchangeOttawa, 13 June 2011
Why measure the dynamic characteristics of wood/hybrid buildings?
• Knowledge of these properties essential to predict response to seismic loads; sensitivity to wind gust loads;
• Properties difficult to predict at the design stage and using computer models of building frameworks;
• Accuracy of building code equations is questionable –not developed based on wood/hybrid buildings;
• Important influence/interaction of architectural components; stiffness, mass and damping;
• Are ambient vibrations useful for design under extreme events?
4Theme II Research ExchangeOttawa, 13 June 2011
NBCC period formulae
5Theme II Research ExchangeOttawa, 13 June 2011
[1] 0.085 h0.75 for steel moment-resisting frames (steel MRF);
[2] 0.075 h0.75 for concrete moment-resisting frames (RC MRF);
[3] 0.1 N for other moment-resisting frames (MRF);
[4] 0.025 h for braced frames (BF);
[5] 0.05 h0.75 for shear walls (SW) and other structures.
Equations [1], [2], and [5] were developed using the fundamental periods of 40 buildings in California (17 steel MRF, 14 RC MRF, and 9 RC SW), which were measured during the 1971 San Fernando earthquake.
Study using AVM on tall buildings
• Between June 2007 and August 2009, ambient vibration tests were performed in 39 buildings in Montréal.
• In 27 of these, reinforced concrete shear walls (RCSW) provided the main resistance to lateral loads.
• Velocities resulting from ambient excitations were recorded at several locations in each building, and the recorded motions were analyzed using Enhanced Frequency Domain Decomposition (EFDD) to obtain the dynamic properties of up to six vibration modes in the low frequency range.
Ottawa, 13 June 2011 Theme II Research Exchange 6
Lennartz LE-3D/5s sensors
7Theme II Research ExchangeOttawa, 13 June 2011
Eigenperiod 5 sec
Bandwidth 0.2 - 40 Hz
Temp range -15 to 60 deg C
Sensitivity 400 V/(m/s)
RMS noise at 1 Hz < 1 nm/s
Technical specifications of Lennartz LE-3D/5s sensors
Data set 1 vs. NBCC formula (0.05 h 0.75)
8Theme II Research ExchangeOttawa, 13 June 2011
0
1
2
3
4
5
6
0 50 100 150 200 250
Height (m)
Peri
od
(s)
Data set 1
NBCC - Ta
NBCC - Tmax
NBCC - Treg
Extended data base (Data set 2)
Ottawa, 13 June 2011 Theme II Research Exchange 9
0
1
2
3
4
5
6
0 50 100 150 200 250 300
Height (m)
Peri
od
(s)
Gilles
Goel & Chopra
Farsi & Bard
Lee et al
Ghrib & Mamedov
Kijewski-Correa & Pirnia
Data set 2 vs. NBCC formula
10Theme II Research ExchangeOttawa, 13 June 2011
0
1
2
3
4
5
6
0 50 100 150 200 250 300
Height (m)
Peri
od
(s)
Data set 2
NBCC - Ta
NBCC - Tmax
NBCC - Treg
Some AVM results for tall buildings in Montreal Fundamental sway period
11Theme II Research ExchangeOttawa, 13 June 2011
T a hb1
Table 1: Regression analyses for fundamental sway period
Type b Best-fit se R2
Constrained 0.750 T1 = 0.052 h0.75 0.296 0.738
Unconstrained 1.032 T1 = 0.017 h1.032 0.229 0.898
Constrained 1.000 T1 = 0.019 h 0.230 0.892
Some AVM results for tall buildings in MontrealFundamental sway period
12Theme II Research ExchangeOttawa, 13 June 2011
0
1
2
3
4
5
0 50 100 150 200 250
Height (m)
T1 (
s)
Data
NBCC - Treg
Best fit
Best fit (b=1.0)
Recommendation for T1
Ottawa, 13 June 2011 Theme II Research Exchange 13
0
1
2
3
4
5
0 50 100 150 200 250
Height (m)
T1 (
s)
Data
T1 = 0.015 h
T1 = 0.019 h
T1 = 0.025 h
Some AVM results for tall buildings in MontrealSecond sway period
14Theme II Research ExchangeOttawa, 13 June 2011
0.0
0.5
1.0
1.5
2.0
0 50 100 150 200 250
Height (m)
T2 (
s)
Trans
Long
T2 = 0.009 h 0̂.9
T2 = 0.007 h 0̂.9
T2 = 0.012 h 0̂.9
Some AVM results for tall buildings in MontrealFundamental torsional period
15Theme II Research ExchangeOttawa, 13 June 2011
0
1
2
3
4
5
0 50 100 150 200 250 300
Height (m)
T1
t (s)
Data
T1t = 0.011 h
T1t = 0.015 h
T1t = 0.018 h
Some AVM results for tall buildings in MontrealModal damping
16Theme II Research ExchangeOttawa, 13 June 2011
0
1
2
3
4
5
6
0 50 100 150 200 250
Height (m)
Dam
pin
g (
% c
riti
cal)
Trans 1
Long 1
Torsion 1
Trans 2
Long 2
Torsion 2
Some AVM results for tall buildings in Montreal Modal damping in fundamental modes
17Theme II Research ExchangeOttawa, 13 June 2011
0
1
2
3
4
5
6
0 1 2 3 4 5
Frequency (Hz)
Dam
pin
g (
% c
riti
cal)
Trans 1
Long 1
Satake et al (x = 1.38f)
Jeary
Lagomarsino
UHS spectral accelerations for Montreal
18Theme II Research ExchangeOttawa, 13 June 2011
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
0 1 2 3 4 5
Period (s)
Sp
ectr
al accele
rati
on
(%
g)
Class A
Class B
Class C
Class D
Class E
References
• D. Gilles, "In situ dynamic properties of buildings in Montréal determined from ambient vibration records", Report No. 2010-03, McGill University Structural Engineering Series, Montréal, QC, 2010. Available at http://www.mcgill.ca/library/library-findinfo/escholarship/.
• NRC/IRC, "National Building Code of Canada 2005", National Research Council of Canada, Institute for Research in Construction, Ottawa, ON, 2005.
• R.K. Goel and A.K. Chopra, "Vibration properties of buildings determined from recorded earthquake motions", Report No. UCB/EERC-97/14, Richmond, CA, 1997.
• S. Lagomarsino. "Forecast models for damping and vibration periods of buildings", Journal of Wind Engineering and Industrial Aerodynamics, 48: 221-239, 1993.
• R.K. Goel and A.K. Chopra. "Period formulas for concrete shear wall buildings", Journal of Structural Engineering, 124(4): 426-433, 1998.
• L.-H. Lee, K.-K. Chang, and Y.-S. Chun. "Experimental formula for the fundamental period of RC buildings with shear-wall dominant systems", The Structural Design of Tall Buildings, 9: 295-307, 2000.
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References (cont’d)
• N. Satake, et al. "Damping evaluation using full-scale data of buildings in Japan", Journal of Structural Engineering, 129(4): 470-477, 2003.
• M. Çelebi. "Comparison of damping in buildings under low-amplitude and strong motions", Journal of Wind Engineering and Industrial Aerodynamics, 59: 309-323, 1996.
• A.P. Jeary. "Damping in tall buildings - A mechanism and a predictor", Earthquake Engineering and Structural Dynamics, 14: 733-750, 1986.
• W.P. Fritz, N.P. Jones, and T. Igusa. "Predictive models for the median and variability of building period and damping", Journal of Structural Engineering, 135(5): 576-586, 2009.
• A.K. Chopra and R.K. Goel. "Building period formulas for estimating seismic displacements", Earthquake Spectra, 16(2): 533-536, 2000.
• D. Gilles, "In situ dynamic characteristics of reinforced concrete shear wall buildings", PhD thesis, McGill University, Montréal, QC, 2011. Available at http://www.mcgill.ca/library/library-findinfo/escholarship/.
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