Resonant modes of simply supported square plate

Thread starter quantumlight
Start date Aug 8, 2010
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Modes Plate Resonant Square

In summary, the resonant modes of a simply supported square plate are the natural frequencies at which the plate vibrates when excited by an external force. These frequencies are determined by the plate's dimensions, material properties, and boundary conditions. Factors such as changes in these parameters can affect the plate's natural frequencies, which can have an impact on its structural integrity and performance. To control the resonant modes of a simply supported square plate, adjustments can be made to its dimensions, material properties, and boundary conditions, as well as through the use of damping materials or structural supports.

Aug 8, 2010

quantumlight

I did this in ANSYS, but I am wondering what is the analytical solution to this. Does anyone know?

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Aug 10, 2010

6Stang7

Assuming the load is applied in the middle:

k=(48EI)/(l^3)

You should be able to take care of the rest.

Related to Resonant modes of simply supported square plate

1. What are resonant modes of a simply supported square plate?

The resonant modes of a simply supported square plate refer to the natural frequencies at which the plate vibrates when excited by an external force. These frequencies are characterized by specific patterns of nodal lines on the surface of the plate.

2. How are resonant modes of a simply supported square plate calculated?

The resonant modes of a simply supported square plate can be calculated using mathematical equations based on the plate's dimensions, material properties, and boundary conditions. These equations take into account the plate's stiffness, mass, and damping to determine the natural frequencies of vibration.

3. What factors affect the resonant modes of a simply supported square plate?

The resonant modes of a simply supported square plate can be affected by various factors such as the plate's dimensions, material properties, and boundary conditions. Changes in these factors can alter the stiffness, mass, and damping of the plate, ultimately changing its natural frequencies of vibration.

4. Why are resonant modes of a simply supported square plate important?

The resonant modes of a simply supported square plate are important because they can affect the structural integrity and performance of the plate. For example, if the natural frequency of a plate matches the frequency of an external force, it can lead to resonance and cause excessive vibrations, which can result in damage to the plate.

5. How can the resonant modes of a simply supported square plate be controlled?

The resonant modes of a simply supported square plate can be controlled by adjusting the plate's dimensions, material properties, and boundary conditions. These changes can alter the natural frequencies of vibration, ensuring that they do not match external forces and prevent resonance. Additionally, using damping materials or adding structural supports can also help control the resonant modes of a plate.