Deflection/Vibration modelling

  • Thread starter Mech-Master
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In summary, the conversation discusses a flat plate moving up and down in a sinusoidal motion, with a smaller plate attached to its edge and connected by a spring rod at the hinge. The angle of deflection of the smaller plate is being modeled as a function of time, and the torsion constant and natural frequency of the spring have already been determined. The speaker is seeking help on how to proceed with the model.
  • #1
Mech-Master
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Hello everyone,

Assume that you have a flat plate, that is moving up and down in a sinusoidal motion with the following equation:

y = yo*sin(2*pi*f*t)

where yo is the amplitude of the motion, f is the frequency and t is time.

There is another smaller size plate attached to the edge of the larger one. The two plates are connected by a spring rod at the hinge.

When the larger plate oscillates with the above equation, the smaller plate starts to deflect.

I would like model the angle of this deflection as a function of time. The angle is measured relative to the flat pate.

I've already determined the torsion constant and hence the natural frequency of the spring. But I'm really not sure how to proceed after that.

Any help will be really appreciated.
 
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  • #2
Anyone, please?
 
  • #3
Your description is not clear. How about a drawing?
 

1. What is deflection/vibration modelling?

Deflection/vibration modelling is a process of using mathematical equations and computer simulations to predict the behavior of a structure under various loading conditions. It is often used in engineering and physics to understand how a structure will respond to external forces and vibrations.

2. Why is deflection/vibration modelling important?

Deflection/vibration modelling is important because it allows engineers and scientists to accurately predict the behavior of a structure before it is built. This can help identify potential issues and improve the design to ensure the structure is safe and stable.

3. What factors are considered in deflection/vibration modelling?

Factors such as material properties, structural geometry, loading conditions, and boundary conditions are all considered in deflection/vibration modelling. These factors can greatly impact the behavior of a structure and must be carefully analyzed and modeled.

4. How accurate is deflection/vibration modelling?

The accuracy of deflection/vibration modelling depends on the complexity of the structure being modeled and the assumptions made in the modeling process. Generally, the more detailed and precise the modeling, the more accurate the results will be.

5. How is deflection/vibration modelling used in real-world applications?

Deflection/vibration modelling is used in a variety of real-world applications, such as designing bridges, buildings, and aircraft. It is also used in earthquake engineering to predict the behavior of structures during seismic events. Additionally, it is used in the development of new materials and structures to ensure they can withstand various loading and vibration conditions.

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