How do I measure flexural vibrations on a rectangular plate supported by rods?

In summary, the person is reproducing a measurement of vibrations and asks for help with a question about placing the plate on a surface. They are using a microphone and software for Fourier analysis and compare the situation to a guitar. They wonder if the surface will affect the recordings and if the guitar analogy is valid. The expert responds by explaining how guitar vibrations and resonant frequencies work and how they may affect the sound. They also mention that the fundamental note will be the same but the harmonic content may be different due to the material and its properties.
  • #1
idmena
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Hi, I'm reproducing a measurement of vibrations and I would like your help with a certain question I have.

I have a rectangular plate supported by two rods and I want to measure it's fundamental flexural vibration frecuency, among other things. As a base I have a report of such a measurement done in the past by an institution. My inquiry is regarding the surface over which I am placing the plate.

I am using a microphone to record the sound and a software for Fourier analysis. My reasoning is that the vibration on the plate will transmit to the table via the rods, I am thinking the same thing happens on a guitar: the vibration of the strings transmit through the bridge to the front surface of the guitar body, and that's what we hear, the vibration from the body not from the strings themselves. Based on that I know that I will be mostly measuring the vibrations produced from the table (the plate itself it's not big at all, 9x3cm, and hardly makes any sound when striked). But then I thought: Will not the particular vibration modes of the table itself show up on my recordings?

On the report I read they had placed the plate and the rods over a neoprene sheet over an antivibrating table. I reckon that's what I ought to do as well, but I want to understand if my guitar analogy is valid in this scenario. (And why that doesn't happen on a guitar? If I tune a string on A4 and play it, I will hear A4; the body of the guitar didn't interfere with the sound. Or do we really tune the "guitar" to be A4, not tune just the string itself?)

Thank you in advance for your kind attention
 
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  • #2
idmena said:
I am thinking the same thing happens on a guitar: the vibration of the strings transmit through the bridge to the front surface of the guitar body, and that's what we hear, the vibration from the body not from the strings themselves... I want to understand if my guitar analogy is valid in this scenario. (And why that doesn't happen on a guitar? If I tune a string on A4 and play it, I will hear A4; the body of the guitar didn't interfere with the sound. Or do we really tune the "guitar" to be A4, not tune just the string itself?)

This is definitely true to a certain extent, the body of the guitar definitely vibrates and this enhances the sound (compare strumming an unplugged electric guitar and an acoustic guitar) this is because the noise radiates from the vibrating body in the same way your phone sounds louder when it rings on a table, and the same reason your experiment (unless vibration isolated) will be louder when on the table. This is helped in the case of the guitar that a lot of the sound that is produced by the stings enters the body of the guitar via the sound hole.

You do most definitely tune the sting to a particular note not the guitar. However, everything will have a natural resonant frequency, at this frequency the transmission between the exerted force (incident sound, physical shaking) and the vibration, is most efficient. Things will vibrate and radiate at other frequencies (other than their specific frequency of resonance) but it's 'less efficient'. Now, that's not to say the vibrating body will not interfere with the sound at all, its characteristic resonance will effect the harmonic content (timbre, overtones) of the sounds, but the fundamental note will be the same. Like if you play a C# on a trumpet and a C# on a clarinet the notes are the same pitch due to the fundamental frequency of the sound, but the sounds are quite distinct, the different materials and their properties change the harmonic content of the sound...

Hope that is, in some way, helpful.
 

FAQ: How do I measure flexural vibrations on a rectangular plate supported by rods?

1. What is flexural vibration?

Flexural vibration, also known as bending vibration, is a type of vibration that occurs when an object is bent or flexed. It is a common phenomenon in structures and materials, and can be observed by the movement or deformation of the object.

2. Why is it important to measure flexural vibrations?

Measuring flexural vibrations is important because it can provide valuable information about the structural integrity and behavior of an object or material. It can also help identify potential weaknesses or defects that could lead to failure or damage.

3. What tools or methods are used to measure flexural vibrations?

There are various tools and methods that can be used to measure flexural vibrations, including accelerometers, strain gauges, laser Doppler vibrometers, and optical measurement techniques. These tools can accurately measure the amplitude, frequency, and other characteristics of flexural vibrations.

4. How do you analyze the data collected from measuring flexural vibrations?

The data collected from measuring flexural vibrations can be analyzed using various techniques, such as frequency analysis, time-domain analysis, and modal analysis. These methods can help identify the natural frequencies and modes of vibration of the object, as well as any abnormal or undesirable vibrations.

5. What are some real-world applications of measuring flexural vibrations?

Measuring flexural vibrations has many practical applications, especially in the fields of engineering, materials science, and structural health monitoring. It can be used to assess the performance and durability of buildings, bridges, and other structures, as well as monitor the condition of machinery and equipment. It is also important in the development and testing of new materials and products.

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