Calculating the natural frequency of a plate fixed at four corners

In summary, the natural frequency of a plate fixed at four corners refers to the frequency of vibration when disturbed, and can be calculated using the formula f = (m/n) * (E*h/L^2). Several factors, such as size, shape, material, and fixation method, can affect this frequency and it can be altered by changing these factors. Calculating the natural frequency is important in engineering and structural design to assess stability and identify potential issues.
  • #1
Alioth
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How do I calculate the natural frequency of vibration of a rectangular plate of Al-6061, having dimensions 100 x 80 mm? The plate is fixed at four corners.

Thank You
 
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I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
 

1. What is the natural frequency of a plate fixed at four corners?

The natural frequency of a plate fixed at four corners refers to the frequency at which the plate will vibrate when disturbed. It is determined by the size, shape, and material of the plate, as well as the method of fixation at the four corners.

2. How is the natural frequency of a plate fixed at four corners calculated?

The natural frequency of a plate fixed at four corners can be calculated using the formula: f = (m/n) * (E*h/L^2), where f is the natural frequency, m is the mass of the plate, n is the number of nodes (usually equal to 1 for a fixed four-corner plate), E is the Young's modulus of the plate's material, h is the thickness of the plate, and L is the length of one side of the plate.

3. What factors affect the natural frequency of a plate fixed at four corners?

The natural frequency of a plate fixed at four corners is affected by several factors, including the size and shape of the plate, the material it is made of, the method of fixation at the four corners, and any additional loads or forces acting on the plate.

4. Can the natural frequency of a plate fixed at four corners be changed?

Yes, the natural frequency of a plate fixed at four corners can be changed by altering the factors that affect it. For example, changing the material or size of the plate, or adjusting the method of fixation at the four corners, can result in a different natural frequency.

5. Why is calculating the natural frequency of a plate fixed at four corners important?

Calculating the natural frequency of a plate fixed at four corners is important in engineering and structural design. It can help determine the stability and durability of a structure, as well as identify potential issues such as resonance that may cause excessive vibrations and damage to the plate or surrounding structures.

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