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	<title>Comments for Prosig Noise &amp; Vibration Blog</title>
	<atom:link href="http://blog.prosig.com/comments/feed/" rel="self" type="application/rss+xml" />
	<link>http://blog.prosig.com</link>
	<description>Telling you what you really need to know about noise &#38; vibration measurement</description>
	<lastBuildDate>Thu, 18 Mar 2010 19:28:48 +0000</lastBuildDate>
	<generator>http://wordpress.org/?v=2.9.2</generator>
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		<title>Comment on Comparison Between Sound Intensity Probes and Acoustic Cameras by Richard OSullivan</title>
		<link>http://blog.prosig.com/2010/03/15/comparison-between-sound-intensity-probes-and-acoustic-cameras/comment-page-1/#comment-648</link>
		<dc:creator>Richard OSullivan</dc:creator>
		<pubDate>Thu, 18 Mar 2010 19:28:48 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/?p=551#comment-648</guid>
		<description>Hi James,
interesting article, but found a small mistake. The spacing of theintensity mics must be smaller than the wavelength of the highest frequency, so the smallest spacer is good for up to 10kHz.  The larger spacers are used to increase sensitivity at low frequencies. 
Richard.</description>
		<content:encoded><![CDATA[<p>Hi James,<br />
interesting article, but found a small mistake. The spacing of theintensity mics must be smaller than the wavelength of the highest frequency, so the smallest spacer is good for up to 10kHz.  The larger spacers are used to increase sensitivity at low frequencies.<br />
Richard.</p>
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		<title>Comment on What Is Resonance? by James Wren</title>
		<link>http://blog.prosig.com/2007/05/23/what-is-resonance/comment-page-1/#comment-647</link>
		<dc:creator>James Wren</dc:creator>
		<pubDate>Mon, 15 Mar 2010 10:50:12 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/2007/05/23/what-is-resonance/#comment-647</guid>
		<description>Hello Benjamin,

Thank you for asking another question on our blog.

I don&#039;t think we can give you advise on your project exactly, we do not know what your structure is for example. Generally I would not expect to see very small spikes, that would mean there is very little energy in those bands and that the structure was only being excited in a very small band, which is not impossible, but unlikely. I would suggest looking again at your test procedure and the signal processing techniques you are using.

If you would like to discuss this further perhaps it would be best to contact us directly.</description>
		<content:encoded><![CDATA[<p>Hello Benjamin,</p>
<p>Thank you for asking another question on our blog.</p>
<p>I don&#8217;t think we can give you advise on your project exactly, we do not know what your structure is for example. Generally I would not expect to see very small spikes, that would mean there is very little energy in those bands and that the structure was only being excited in a very small band, which is not impossible, but unlikely. I would suggest looking again at your test procedure and the signal processing techniques you are using.</p>
<p>If you would like to discuss this further perhaps it would be best to contact us directly.</p>
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		<title>Comment on What Is Resonance? by Benjamin Franklin</title>
		<link>http://blog.prosig.com/2007/05/23/what-is-resonance/comment-page-1/#comment-646</link>
		<dc:creator>Benjamin Franklin</dc:creator>
		<pubDate>Mon, 15 Mar 2010 10:33:30 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/2007/05/23/what-is-resonance/#comment-646</guid>
		<description>Dear James,
         Thanks for your reply. I did not mention that I conducted the test twice. I intended to tell that those are the narrow peak curves I got when I swept the frequency from 30 Hz to 3500 Hz. Kindly draw a curve between Frequency and acceleration based on my values. Let the acceleration values for frequencies I did not mention be 1 g.I would like to ask you the significance of noise curve. Whether the narrow peaks makes sense even though there is no sign of noise level. Hope you understand my question. Kindly explain.</description>
		<content:encoded><![CDATA[<p>Dear James,<br />
         Thanks for your reply. I did not mention that I conducted the test twice. I intended to tell that those are the narrow peak curves I got when I swept the frequency from 30 Hz to 3500 Hz. Kindly draw a curve between Frequency and acceleration based on my values. Let the acceleration values for frequencies I did not mention be 1 g.I would like to ask you the significance of noise curve. Whether the narrow peaks makes sense even though there is no sign of noise level. Hope you understand my question. Kindly explain.</p>
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		<title>Comment on What Is Resonance? by James Wren</title>
		<link>http://blog.prosig.com/2007/05/23/what-is-resonance/comment-page-1/#comment-645</link>
		<dc:creator>James Wren</dc:creator>
		<pubDate>Thu, 04 Mar 2010 09:44:06 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/2007/05/23/what-is-resonance/#comment-645</guid>
		<description>Hello Benjamin,

Thanks for asking a question on our blog.

It sounds like the peaks your seeing are the natural frequencies of the structure your exciting.

Your Finite Element Analysis is giving you a natural frequency of 2700Hz, from the practical testing you have carried out it would appear to be inclusive. You say you have performed the test twice, but you have quite different results each time. Any practical test should be repeatable, no matter how many times you carry out the same test you should get the same results. I would suggest carrying out the practical tests again, perhaps repeating the test three times to make sure no experimental error is creeping into the testing.

Please feel free to come back and let us know your new results.</description>
		<content:encoded><![CDATA[<p>Hello Benjamin,</p>
<p>Thanks for asking a question on our blog.</p>
<p>It sounds like the peaks your seeing are the natural frequencies of the structure your exciting.</p>
<p>Your Finite Element Analysis is giving you a natural frequency of 2700Hz, from the practical testing you have carried out it would appear to be inclusive. You say you have performed the test twice, but you have quite different results each time. Any practical test should be repeatable, no matter how many times you carry out the same test you should get the same results. I would suggest carrying out the practical tests again, perhaps repeating the test three times to make sure no experimental error is creeping into the testing.</p>
<p>Please feel free to come back and let us know your new results.</p>
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		<title>Comment on What Is Resonance? by F.Benjamin Franklin</title>
		<link>http://blog.prosig.com/2007/05/23/what-is-resonance/comment-page-1/#comment-644</link>
		<dc:creator>F.Benjamin Franklin</dc:creator>
		<pubDate>Wed, 03 Mar 2010 11:36:52 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/2007/05/23/what-is-resonance/#comment-644</guid>
		<description>HI,
     I  conducted a vibration test in a shaker machine. I applied 1 g acceleration and monitored the acceleration of the test piece. A linear sweep wave ranging from 30 Hz to 3500 Hz at 300 sec. The output acceleration curve shows some narrow peak points ( first one is acceleration peaked to 6g in a frequency range of 1110 Hz to 1130 Hz Hz. Second one is 5.16 g in a frequency range of 1325 Hz to 1500 Hz . Third one is 4.6 g in a frequency range of 1500 Hz 1650 Hz). But no significant increase in noise level is observed during this time. But a smoother increment in acceleration curve I observed was for 17 g in a frequency range of 2975Hz to  3495 Hz. Here there was a significant increase in noise level. I conducted a FEA for the same and found first natural frequency at 2900 Hz. My questions are, 1)What is the importance of noise curve? 2) How to interpret the narrow peaks? 3) Whether the first natural frequency is between 2975 to 3495 or prior to this peak like 1120 Hz? Kindly explain.

Benjamin Franklin,
Chennai, India.</description>
		<content:encoded><![CDATA[<p>HI,<br />
     I  conducted a vibration test in a shaker machine. I applied 1 g acceleration and monitored the acceleration of the test piece. A linear sweep wave ranging from 30 Hz to 3500 Hz at 300 sec. The output acceleration curve shows some narrow peak points ( first one is acceleration peaked to 6g in a frequency range of 1110 Hz to 1130 Hz Hz. Second one is 5.16 g in a frequency range of 1325 Hz to 1500 Hz . Third one is 4.6 g in a frequency range of 1500 Hz 1650 Hz). But no significant increase in noise level is observed during this time. But a smoother increment in acceleration curve I observed was for 17 g in a frequency range of 2975Hz to  3495 Hz. Here there was a significant increase in noise level. I conducted a FEA for the same and found first natural frequency at 2900 Hz. My questions are, 1)What is the importance of noise curve? 2) How to interpret the narrow peaks? 3) Whether the first natural frequency is between 2975 to 3495 or prior to this peak like 1120 Hz? Kindly explain.</p>
<p>Benjamin Franklin,<br />
Chennai, India.</p>
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		<title>Comment on Calculating Velocity Or Displacement From Acceleration Time Histories by Siva Srinivas Kolukula</title>
		<link>http://blog.prosig.com/2007/10/05/calculating-velocity-or-displacement-from-acceleration-time-histories/comment-page-1/#comment-642</link>
		<dc:creator>Siva Srinivas Kolukula</dc:creator>
		<pubDate>Fri, 26 Feb 2010 11:43:19 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/2007/10/05/calculating-velocity-or-displacement-from-acceleration-time-histories/#comment-642</guid>
		<description>Very good one to refer..................It was helpful for me...It cleared my doubts.......great work
 Thanks a lot........</description>
		<content:encoded><![CDATA[<p>Very good one to refer&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;It was helpful for me&#8230;It cleared my doubts&#8230;&#8230;.great work<br />
 Thanks a lot&#8230;&#8230;..</p>
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		<title>Comment on Made To Measure by James Wren</title>
		<link>http://blog.prosig.com/2006/06/06/made-to-measure/comment-page-1/#comment-638</link>
		<dc:creator>James Wren</dc:creator>
		<pubDate>Wed, 20 Jan 2010 15:20:15 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/2007/11/19/made-to-measure/#comment-638</guid>
		<description>Hello Mohammed,

Thank you for asking a question on our blog.

Torque measurement is basically the measure of force being applied in turning a shaft. When a turning force is applied to a shaft the shaft twists by a very small amount. This twisting produces some deformation in the material of the shaft. This twisting is in a direction at 45 degrees to the axis of the shaft. The shaft effectively stretches slightly in that direction.

The shaft also exhibits a compressive force in the opposite 45 degree direction. 

So if you mounted strain gauges at both +/- 45 degrees perpendicular to the shaft axis you should see both the compression and the extension forces.

With regards as to how to measure this whilst the shaft is moving is a more difficult question, it depends on the shaft itself and what you’re doing.

Generally we would use some wireless strain gauges for this application, but that might not be practical for your application.</description>
		<content:encoded><![CDATA[<p>Hello Mohammed,</p>
<p>Thank you for asking a question on our blog.</p>
<p>Torque measurement is basically the measure of force being applied in turning a shaft. When a turning force is applied to a shaft the shaft twists by a very small amount. This twisting produces some deformation in the material of the shaft. This twisting is in a direction at 45 degrees to the axis of the shaft. The shaft effectively stretches slightly in that direction.</p>
<p>The shaft also exhibits a compressive force in the opposite 45 degree direction. </p>
<p>So if you mounted strain gauges at both +/- 45 degrees perpendicular to the shaft axis you should see both the compression and the extension forces.</p>
<p>With regards as to how to measure this whilst the shaft is moving is a more difficult question, it depends on the shaft itself and what you’re doing.</p>
<p>Generally we would use some wireless strain gauges for this application, but that might not be practical for your application.</p>
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		<title>Comment on Made To Measure by Eng./ Mohamed Hafiz</title>
		<link>http://blog.prosig.com/2006/06/06/made-to-measure/comment-page-1/#comment-636</link>
		<dc:creator>Eng./ Mohamed Hafiz</dc:creator>
		<pubDate>Wed, 20 Jan 2010 11:56:07 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/2007/11/19/made-to-measure/#comment-636</guid>
		<description>thanks for this rich explain on torque transducers.

I&#039;m PhD student  and I need to measure the torque transmitted to right and lift wheel by using strain gauges on each shaft connecting between differential and each wheel. without using torque transducers.

Do you can explain the correct direction for bonding the gauge and How I can measure the reading while it rotating.

thank you.</description>
		<content:encoded><![CDATA[<p>thanks for this rich explain on torque transducers.</p>
<p>I&#8217;m PhD student  and I need to measure the torque transmitted to right and lift wheel by using strain gauges on each shaft connecting between differential and each wheel. without using torque transducers.</p>
<p>Do you can explain the correct direction for bonding the gauge and How I can measure the reading while it rotating.</p>
<p>thank you.</p>
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		<title>Comment on Calculating Velocity Or Displacement From Acceleration Time Histories by rhen</title>
		<link>http://blog.prosig.com/2007/10/05/calculating-velocity-or-displacement-from-acceleration-time-histories/comment-page-1/#comment-635</link>
		<dc:creator>rhen</dc:creator>
		<pubDate>Fri, 15 Jan 2010 00:22:26 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/2007/10/05/calculating-velocity-or-displacement-from-acceleration-time-histories/#comment-635</guid>
		<description>sec x tan x dx/ sec x - 1</description>
		<content:encoded><![CDATA[<p>sec x tan x dx/ sec x &#8211; 1</p>
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		<title>Comment on 10 Great Fourier Transform Links by Jouissance</title>
		<link>http://blog.prosig.com/2009/04/22/10-great-fourier-transform-links/comment-page-1/#comment-632</link>
		<dc:creator>Jouissance</dc:creator>
		<pubDate>Mon, 04 Jan 2010 17:10:27 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/?p=147#comment-632</guid>
		<description>Anyone know of links to sound installations that use FFT?</description>
		<content:encoded><![CDATA[<p>Anyone know of links to sound installations that use FFT?</p>
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		<title>Comment on Strain Gauges Explained by James Wren</title>
		<link>http://blog.prosig.com/2008/09/08/strain-gauges-explained/comment-page-1/#comment-631</link>
		<dc:creator>James Wren</dc:creator>
		<pubDate>Mon, 04 Jan 2010 09:07:36 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/?p=87#comment-631</guid>
		<description>Hello Ayesha,

Thanks for asking a question on our blog.
I think you may have hit a technical barrier there, you have to pass the signals through a medium that allows for the mechanical rotation, if you just used cables they would soon become twisted and fail.

I have colleagues who have used wireless sensors, but these are even more expensive.

I would suggest that you need to find a mechanism in your budget.</description>
		<content:encoded><![CDATA[<p>Hello Ayesha,</p>
<p>Thanks for asking a question on our blog.<br />
I think you may have hit a technical barrier there, you have to pass the signals through a medium that allows for the mechanical rotation, if you just used cables they would soon become twisted and fail.</p>
<p>I have colleagues who have used wireless sensors, but these are even more expensive.</p>
<p>I would suggest that you need to find a mechanism in your budget.</p>
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		<title>Comment on Strain Gauges Explained by Chris Mason</title>
		<link>http://blog.prosig.com/2008/09/08/strain-gauges-explained/comment-page-1/#comment-629</link>
		<dc:creator>Chris Mason</dc:creator>
		<pubDate>Thu, 24 Dec 2009 09:22:28 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/?p=87#comment-629</guid>
		<description>Hello Ayesha
I am not a strain gauge expert, but I will pass your question to some of our tech guys and see what they say.</description>
		<content:encoded><![CDATA[<p>Hello Ayesha<br />
I am not a strain gauge expert, but I will pass your question to some of our tech guys and see what they say.</p>
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		<title>Comment on Strain Gauges Explained by ayesha</title>
		<link>http://blog.prosig.com/2008/09/08/strain-gauges-explained/comment-page-1/#comment-628</link>
		<dc:creator>ayesha</dc:creator>
		<pubDate>Tue, 22 Dec 2009 16:44:35 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/?p=87#comment-628</guid>
		<description>hi
i am doing mechanical engg.in final year now.we are trying to fabricate a dynamometer to measure torque using electrical strain gauges.but we are facing the problem of slip rings.that we cannot afford them.could you please suggest any idea how to use strain gauges on a rotating shaft to measure torque with any altrnative to slip rings or any other techinique.thanx</description>
		<content:encoded><![CDATA[<p>hi<br />
i am doing mechanical engg.in final year now.we are trying to fabricate a dynamometer to measure torque using electrical strain gauges.but we are facing the problem of slip rings.that we cannot afford them.could you please suggest any idea how to use strain gauges on a rotating shaft to measure torque with any altrnative to slip rings or any other techinique.thanx</p>
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		<title>Comment on Shaft Displacement Measurement Using A PROTOR System by Ndama PY</title>
		<link>http://blog.prosig.com/2008/06/04/shaft-displacement-measurement-using-a-protor-system/comment-page-1/#comment-623</link>
		<dc:creator>Ndama PY</dc:creator>
		<pubDate>Tue, 10 Nov 2009 10:12:36 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/?p=65#comment-623</guid>
		<description>Hi,

I need a conversion table or formula for vibration units, say microns, mm/sec or whatever. My mail address will do.

Thanks.</description>
		<content:encoded><![CDATA[<p>Hi,</p>
<p>I need a conversion table or formula for vibration units, say microns, mm/sec or whatever. My mail address will do.</p>
<p>Thanks.</p>
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		<title>Comment on Notes On Fourier Analysis by Abiye</title>
		<link>http://blog.prosig.com/2003/07/29/notes-on-fourier-analysis/comment-page-1/#comment-621</link>
		<dc:creator>Abiye</dc:creator>
		<pubDate>Tue, 03 Nov 2009 23:32:00 +0000</pubDate>
		<guid isPermaLink="false">http://prosig.com/blog/?p=5#comment-621</guid>
		<description>What a wonderful presentation.
Very elaborate, clear and articulate.
You really deserve the very best.

Abiye Zerfu</description>
		<content:encoded><![CDATA[<p>What a wonderful presentation.<br />
Very elaborate, clear and articulate.<br />
You really deserve the very best.</p>
<p>Abiye Zerfu</p>
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		<title>Comment on Amplitude And Energy Correction &#8211; A Brief Summary by Chris Mason</title>
		<link>http://blog.prosig.com/2009/09/01/amplitude-and-energy-correction-a-brief-summary/comment-page-1/#comment-620</link>
		<dc:creator>Chris Mason</dc:creator>
		<pubDate>Mon, 02 Nov 2009 11:08:31 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/?p=266#comment-620</guid>
		<description>Hi Emma

I expect you&#039;ve already had a look around the rest of the blog, but there are a couple of other posts that might help. 

There is the article &lt;a href=&quot;http://blog.prosig.com/2003/07/29/notes-on-fourier-analysis/&quot; rel=&quot;nofollow&quot;&gt;Notes On Fourier Analysis&lt;/a&gt; by Dr Mercer. This has some good illustrated examples and also looks at the mathematics behind the Fourier Transform.

Also, you may find &lt;a href=&quot;http://blog.prosig.com/2009/04/22/10-great-fourier-transform-links/&quot; rel=&quot;nofollow&quot;&gt;10 Great Fourier Transform Links&lt;/a&gt; helpful. This collects together several good WWW resources. One of the best links there is a series of lectures by Professor Brad Osgood of Stanford University. There are about 30 hour long lectures, but maybe the first few will help you.

Anyway, good luck with your thesis. If you have any specific questions then feel free to post a comment somewhere on the blog and one of our posters may be able to help.</description>
		<content:encoded><![CDATA[<p>Hi Emma</p>
<p>I expect you&#8217;ve already had a look around the rest of the blog, but there are a couple of other posts that might help. </p>
<p>There is the article <a href="http://blog.prosig.com/2003/07/29/notes-on-fourier-analysis/" rel="nofollow">Notes On Fourier Analysis</a> by Dr Mercer. This has some good illustrated examples and also looks at the mathematics behind the Fourier Transform.</p>
<p>Also, you may find <a href="http://blog.prosig.com/2009/04/22/10-great-fourier-transform-links/" rel="nofollow">10 Great Fourier Transform Links</a> helpful. This collects together several good WWW resources. One of the best links there is a series of lectures by Professor Brad Osgood of Stanford University. There are about 30 hour long lectures, but maybe the first few will help you.</p>
<p>Anyway, good luck with your thesis. If you have any specific questions then feel free to post a comment somewhere on the blog and one of our posters may be able to help.</p>
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		<title>Comment on Amplitude And Energy Correction &#8211; A Brief Summary by Emma Daly</title>
		<link>http://blog.prosig.com/2009/09/01/amplitude-and-energy-correction-a-brief-summary/comment-page-1/#comment-619</link>
		<dc:creator>Emma Daly</dc:creator>
		<pubDate>Sun, 01 Nov 2009 14:30:42 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/?p=266#comment-619</guid>
		<description>Hi, John

I am a final year engineering student and I am doing my thesis on damage detection using distributed accelerometer. In this I will be using the Fast fourier transforms and know very little about the topic. Is there any chance you have any information that will help me understand the basic? Any help at all would be greatly appreciated.

Emma</description>
		<content:encoded><![CDATA[<p>Hi, John</p>
<p>I am a final year engineering student and I am doing my thesis on damage detection using distributed accelerometer. In this I will be using the Fast fourier transforms and know very little about the topic. Is there any chance you have any information that will help me understand the basic? Any help at all would be greatly appreciated.</p>
<p>Emma</p>
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		<title>Comment on Amplitude And Energy Correction &#8211; A Brief Summary by Yevgeni Tunik</title>
		<link>http://blog.prosig.com/2009/09/01/amplitude-and-energy-correction-a-brief-summary/comment-page-1/#comment-618</link>
		<dc:creator>Yevgeni Tunik</dc:creator>
		<pubDate>Mon, 19 Oct 2009 07:36:09 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/?p=266#comment-618</guid>
		<description>The text in the pictures is almost unreadable.</description>
		<content:encoded><![CDATA[<p>The text in the pictures is almost unreadable.</p>
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		<title>Comment on Measurement And Analysis Of Torsional Vibration by Jasmin Engelhardt</title>
		<link>http://blog.prosig.com/2008/10/17/measurement-and-analysis-of-torsional-vibration/comment-page-1/#comment-617</link>
		<dc:creator>Jasmin Engelhardt</dc:creator>
		<pubDate>Fri, 09 Oct 2009 09:56:39 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/?p=103#comment-617</guid>
		<description>Hello Mr. Lincoln, 

I read about your article. I am currently doing a project, on the business &amp; marketing side, on torsional vibration analysis.  I really have a very limited knowledge on it so I want to know where can I use torsional vibration analysis apart from Motors and gearboxes.  It is said that it can be used to any machine that rotates, could you perhaps provide me an example of other possible machine? 

Best Regards, 

Jasmin</description>
		<content:encoded><![CDATA[<p>Hello Mr. Lincoln, </p>
<p>I read about your article. I am currently doing a project, on the business &amp; marketing side, on torsional vibration analysis.  I really have a very limited knowledge on it so I want to know where can I use torsional vibration analysis apart from Motors and gearboxes.  It is said that it can be used to any machine that rotates, could you perhaps provide me an example of other possible machine? </p>
<p>Best Regards, </p>
<p>Jasmin</p>
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		<title>Comment on Measurement And Analysis Of Torsional Vibration by yane</title>
		<link>http://blog.prosig.com/2008/10/17/measurement-and-analysis-of-torsional-vibration/comment-page-1/#comment-616</link>
		<dc:creator>yane</dc:creator>
		<pubDate>Mon, 05 Oct 2009 13:56:45 +0000</pubDate>
		<guid isPermaLink="false">http://blog.prosig.com/?p=103#comment-616</guid>
		<description>I would like to invite you if u have any videos of your equipment to contact me and post free to my &lt;b&gt;Machines Video&lt;/b&gt; blog

 http://machinesvideo.blogspot.com

thanks!</description>
		<content:encoded><![CDATA[<p>I would like to invite you if u have any videos of your equipment to contact me and post free to my <b>Machines Video</b> blog</p>
<p> <a href="http://machinesvideo.blogspot.com" rel="nofollow">http://machinesvideo.blogspot.com</a></p>
<p>thanks!</p>
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