Deflection/Vibration modelling

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SUMMARY

This discussion focuses on modeling the deflection of a smaller plate attached to a larger plate undergoing sinusoidal motion described by the equation y = yo*sin(2*pi*f*t). The user has successfully determined the torsion constant and the natural frequency of the spring connecting the plates but seeks guidance on modeling the angle of deflection over time. The conversation highlights the need for a clear visual representation to enhance understanding of the mechanical setup.

PREREQUISITES
  • Understanding of sinusoidal motion and its mathematical representation
  • Knowledge of torsion constants and natural frequency calculations
  • Familiarity with mechanical systems involving springs and oscillations
  • Basic skills in creating mechanical diagrams or drawings
NEXT STEPS
  • Research methods for modeling angular deflection in oscillating systems
  • Explore the use of differential equations in mechanical vibration analysis
  • Learn about graphical representations of mechanical systems for clarity
  • Investigate software tools for simulating mechanical vibrations and deflections
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Mechanical engineers, physics students, and anyone involved in modeling dynamic systems and vibrations will benefit from this discussion.

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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Anyone, please?
 
Your description is not clear. How about a drawing?
 

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