Sem.org IMAC XXV s01p03 Sound Transmission Through Glass Panels a Building Case Study
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Transcript of Sem.org IMAC XXV s01p03 Sound Transmission Through Glass Panels a Building Case Study
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Sound Transmission through Glass Panels: A Building Case Study
Steve Seidlitz, Senior Technical Advisor Mechanical DynamicsDaniel J. Kato, Technical Advisor - AcousticsM. Baris Kiyar, Senior Mechanical Engineer
Cummins Power Generation, 1400 73rd Ave N.E., Minneapolis MN 55432
ABSTRACT
This paper documents solving a noise complaint of a generator set installation. The operation of a 1000 kWgenerator set located next to an office building, resulted in excessive noise inside the building, with a particularlyannoying tone that irritated the office workers. The problem was identified as a resonant response of thebuildings windows. A correlated analytical modal model was built to investigate possible solutions. A proposed
solution was tested and the annoying tone was reduced by 15 dB, with an overall noise level reduction of 10 dB.
The Complaint
Pictured below is the 1000 kW generator set next to the building. The office windows shown below are on thesecond floor facing the generator set.
Beyond supplying emergency electrical power, this generator set was sized to provide interruptible power. Whenthe electric utility experiences a high power demand, such as on hot summer days, the utility asks the buildingowners to disconnect from the power grid, lowering the utilitys load. The utility compensates the building ownersby offering lower electric rates. As a consequence of this, the generator set can run several hours with people
working in the building.
During generator set operation, the office workers complained of excessive noise to the point where someemployees went home.
Generator Set
OfficeBuilding
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First Site Visit - Identifying the Cause of the Complaint
Simple sound measurements were taken both inside and outside the building. Powered by a 4-cycle dieselengine running at 1800 rpm (30 Hz), the generator sets noise was multiples of 15 Hz. Since the engine was aV12, it was not surprising that the loudest frequency was 180 Hz. Given that the 180 Hz tone was so dominantinside the building, a resonant response was suspected.
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Frequency
SoundLevel,dB(A)
loc1 L
loc2 L
loc3 L
Sound Spectra inside the Office
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Frequency
SoundLevel,dB(A)
loc4 L
Loc5 L
Sound Spectra outside the Building
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Second Site Visit Searching for the Resonant Behavior
Instrumentation
Both sound and vibration measurements were taken inside the building. Eighteen very light weight single axisaccelerometers (0.5 gram) were waxed to a window, as shown below. They were sensing perpendicular to thewindows surface. The window is approximately one meter wide and 1.8 meters tall.
Eighteen large single axis accelerometers (25 gram) were placed around the windows supporting frame, againsensing perpendicular to the windows surface.
Accelerometers on Window 3 by 6 Grid
wind:lo16
Accelerometers on Window Frame
fram:lo20
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The diagram below shows the accelerometer placements. The green locations are on the window and the redlocations are on the windows supporting frame. The one window location in the lower left-hand corner wasadded for the modal test.
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The diagram below shows the locations of the four microphones and their placement relative to the instrumentedwindow.
Generator Set Operating Tests
During normal operation, this generator set operates at a fixed speed. However, for testing purposes, the enginecan be swept through a narrow speed range: 1650 to 1950 rpm. Since a 4-cycle engine shakes at all whole andhalf multiples of engine speed, running such a speed sweep is roughly equivalent to running a swept sine testwhere one does not know excitation levels. Fortunately, over such a narrow speed range, each orders amplituderemains fairly constant. Resonant behaviors can be identified by looking for orders whose amplitude significantlyrise and then fall during such a speed sweep. To capture steady state behaviors, said speed sweeps are veryslow, on the order of 1.25 rpm per second. Varying engine speed changes the generators output frequency,requiring that these speed sweeps be done with the generator set electrically disconnected from both the buildingand utility. Lacking a portable load bank, these speed sweeps were done at no load.
To get an understanding of loaded behavior, three minutes of steady state data was acquired at both no load andat buildings load, which at the time was 160 kW.
All of this data was recorded simultaneously at a sample rate of 8192 Hz.
These tests were run on Saturday, when there were minimal people present.
Microphone Locations
WindowLooking Down on the Floor
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Speed Sweep Results - Microphones
Three speed sweeps were recorded. Peak hold spectrums were generated of this time data.
All of the resulting microphone peak hold spectrums are plotted below. The following frequencies exhibitedpossible resonant behaviors: 6, 11.5, 20.5, 30.0, 96.0, 181.0, and 183.5 Hz.
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Speed Sweep Results Window Frame
All of the resulting window frame peak hold spectrums are plotted below. The following frequencies exhibitedpossible resonant behaviors: 97.5, 120.25, 182.5, and 189.5 Hz.
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Speed Sweep Results - Window
All of the resulting window peak hold spectrums are plotted below. The following frequencies exhibited possibleresonant behaviors: 96 and 182 Hz.
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Speed Sweep Results - Summary
The plot below of individual speed sweep peak hold spectrums shows the strong relationship between thewindows 96 and 182 Hz resonant behaviors and their associated microphone responses.
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Frequency ( Hz )
Acceleration
&S
ound(
g
s
&P
a
)
Speed Sweep Peak Hold Spectrums
Window Location 3
Window Location 14
Frame Location 20Frame Location 26
Microphone #4
Microphone #6
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Operating Deflection Shapes
For later model correlation, operating deflection shapes were generated of assorted orders. The 180 Hz motion isshown below.
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Modal Test Driving Points
To further support modeling efforts, a modal test was run. As expected, a very large number of resonantfrequencies were present. Four of the most active driving points are plotted below.
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Frequency ( Hz )
TransferFunction(
g
s
/N)
Driving Point Transfer Functions
Hit Window location 1
Hit Window location 4
Hit Window location 7
Hit Window location 8
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Modal Test Reciprocity Check
Modal analysis assumes that the tested structure is linear. Of a linear structure, the transfer function of theresponse at location A in direction B divided by the hit at location C in direction D will be the same as theresponse at location C in direction D divided by the hit at location A in direction B. This is called a reciprocitycheck. Reciprocity holds fairly well across the entire frequency range and even across the frame to the window:location 7 is on the window and location 22 is on the frame.
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10-3
10-2
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Frequency ( Hz )
TransferFunction
(g
s
/N)
Reciprocity Check
Response at 8Z due to a hit at 7Z
Response at 7Z due to a hit at 8Z
Response at 8Z due to a hit at 37Z
Response at 37Z due to a hit at 8Z
Response at 22Z due to a hit at 7Z
Response at 7Z due to a hit at 22Z
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Modal Test Synthesized Data
Both single and multi-degree curve fits were tried. The results were pared down to 28 modes.
The synthesized transfer functions correlated fairly well with the measured data, providing an indication that themodal data was valid.
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Frequency ( Hz )
TransferFunction
(g
s/
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Synthesized Data Comparison
Measured Data - Driving Point @ wind:lo01:-Z / wind:lo01:+ZSynthesized Data - Driving Point @ wind:lo01:-Z / wind:lo01:+Z
Measured Data - Response @ wind:lo04:-Z / wind:lo04:+Z
Synthesized Data - Response @ wind:lo04:-Z / wind:lo04:+Z
Measured Data - Driving Point @ wind:lo07:-Z / wind:lo07:+Z
Synthesized Data - Driving Point @ wind:lo07:-Z / wind:lo07:+Z
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Modal Test Mode Shape
This is the mode just above 180 Hz, which is assumed to be associated with the excessive noise. This modeshape looks somewhat similar to the 180 Hz operating deflection shape, which was the expected result.
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Model Building & Usage
A finite element model was built of the window. The experimental modal test found 28 modes below 200 Hz; themodel had 27. Correlation efforts concentrated on matching the frequency and mode shape of the suspectedtroublesome mode of 181.94 Hz. Reasonable correlation was established using published glass properties andallowing some flexibility at the windows edges - connection to its supporting frame. The flexibility at the windowstop and bottom were different from its sides. This was considered a valid approach via discussions with the glasssubcontractor.
With the goal in mind of moving resonant frequencies away from 180 Hz, assorted alterations were tried. Thefinal proposal was adding two 2-lb masses, each one near a corner of the window. Per the model, this wasexpected to move the troublesome resonant frequency from 186 to 177 Hz.
Figure 10. Mode shape of the glass panel before and after treatment
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Third Site Visit Confirming the Proposed Solution
Sound measurements were made in a conference room where there were four windows facing the generator set.This location was chosen because the door could be closed and the effect of all other radiating panels could benegated.
Baseline measurements were made with the generator set running at approximately a 420 kW load, then againwith two 2 lb steel weights fastened with beeswax to the inside of each of the four windows. Each steel weight
was three inches in diameter and one inch thick. Data showed that the 180 Hz tone was reduced about 15 dBwith overall noise reduction in the conference room about 10 dB(A). This effectively eliminated the noiseannoyance problem. Figure 11.a shows the sound spectra before and after the treatment and Figure 11.b showsthe windows with the massed attached.
Figure 11. Sound reduction and added masses
Summary
This paper explained the steps taken to understand and ultimately solve a building noise complaint. This turnedout to be a case where a dominate frequency of an outside noise source happened to coincide with a structuralnatural frequency of the building, yielding unacceptable noise levels inside the building.
Experimental modal analysis identified the troublesome resonant behavior. Finite element modeling was used toexplore design space and provide a solution. The final recommendation was to treat all of the windows on theside of the building facing the generator set with two 2 lb masses.
Acknowledgements
The authors would like to thank Douglas Hanson and Sze Kwan Cheah of Cummins Power Generation with their
help in sound and vibration testing and Cynthia Raub for her help in document preparation.
0.00 300.00Hz
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dBPa
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Amplitude
F autopower_spec t r Right / R ight har t06.sdf
F autopower_spec t r Right / R ight har t16.sdf
Added MassesAdded MassesAdded MassesAdded Masses