Pendulum driven by combination of horizontal and vertical excitation

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SUMMARY

The discussion focuses on the equations of motion for a parametrically driven pendulum, where the suspension point undergoes vertical sinusoidal motion. This setup allows for sustained oscillation when the driving frequency matches the natural frequency of the pendulum. The team from Millersville University has successfully constructed small Foucault pendulums utilizing this parametric drive mechanism. For detailed equations, refer to their provided discussion link.

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Diablo
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Hello there,

Could some one help me to find equations of motions of this problem attached to this message?

thanks a lot

Niko
 

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Diablo said:
Hello there,
Could some one help me to find equations of motions of this problem attached to this message?

The technical name of that setup is a parametrically driven pendulum. The suspension point moves up and slightly, in a sinusoidal pattern. When the driving frequency is an exact match for the natural frequency of the pendulum the drive will sustain the pendulum oscillation.

A team of millersville University has build several small Foucault pendulums with parametric drive. See their "[URL discussion[/URL] of equations of motion for a parametrically driven pendulum..

Cleonis
 
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