Pendulum driven by combination of horizontal and vertical excitation

AI Thread Summary
The discussion centers on finding the equations of motion for a parametrically driven pendulum, where the suspension point moves in a sinusoidal pattern. The driving frequency must match the natural frequency of the pendulum to sustain its oscillation. A team from Millersville University has constructed small Foucault pendulums utilizing this parametric drive technique. Participants are seeking assistance with the mathematical modeling of this system. The conversation highlights the importance of understanding the dynamics involved in parametrically driven pendulums.
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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