Inconsistent/Diverging angular position with sine torque source

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Peio
Peio 2024-4-1
回答： nick 2024-4-18
Hello,
I don't understand why I get a diverging angular position (an angular velocity of which I do not know the source) for this simple case for exemple:
The sinusoidal source has an average value of 250, so we should have an equilibrium. For theses parameters for the sine source I obtain the following angular position :
And if I only change the phase of the sine source to pi for exemple, I get the following angular position (the angular speed become negative) :
Could you please explain to me the reason for this angular velocity? What am I doing wrong?
Thank you in advance

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回答（1 个）

nick
nick 2024-4-18
Hi Peio,
The reason for the diverging angular position is the presence of a constant term in the angular velocity. This constant changes to a linear term when it is further integrated to obtain the angular position, as shown in the equation below:
You can add a phase of 90 degrees to the sine wave source, which would eliminate the constant in angular velocity and result in a sinusoidal angular displacement with some bias.
Hope this helps.

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