How Do You Model a Horizontal Double Pendulum with External Forces?

[nyknicks012]

I'm working on determining the differential equations governing two linked bars that rotate around a fixed pivot (located at the end of one of the bars). Something like a double pendulum but rotating in the horizontal plane so gravity is not an issue. There are applied external forces at the end of each bar (2 bars = 2 forces). I tried working my way through using examples of a double pendulum I had found online, but the solution I get does not give intuitive results when simulated in matlab. Any help or link to a helpful site would be greatly appreciated.

Thanks again!

 

[berkeman]

I'm working on determining the differential equations governing two linked bars that rotate around a fixed pivot (located at the end of one of the bars). Something like a double pendulum but rotating in the horizontal plane so gravity is not an issue. There are applied external forces at the end of each bar (2 bars = 2 forces). I tried working my way through using examples of a double pendulum I had found online, but the solution I get does not give intuitive results when simulated in matlab. Any help or link to a helpful site would be greatly appreciated.

Thanks again!

Welcome to the PF. What is the context of this project? Is it an artistic project, or some mechanism for manufacturing of something, etc?

Can you post a sketch, with coordinate axes labeled, and show the forces and positions that are in your calculations? Can you post your attempt at the solutions so far, at least how you are trying to set up the DiffEqs?

 

[astrokreng]

I would suggest starting by reviewing the fundamental principles of mechanics and dynamics, specifically those related to rigid body motion and rotational dynamics. This will provide a strong foundation for understanding the behavior of the 2 bar linkage/double pendulum system.

Next, I would recommend carefully analyzing the system and breaking it down into smaller, simpler components. This will help in identifying the forces and constraints acting on each bar, and ultimately lead to the development of the differential equations governing the system.

It may also be helpful to consult with other experts in the field, or seek out additional resources such as textbooks or research papers on similar systems. Additionally, there are many online simulation tools and software programs that can assist in visualizing and analyzing the system.

Finally, I would encourage you to continue exploring and experimenting with different approaches until you are satisfied with the results. As with any scientific endeavor, the process of finding the correct solution can be both challenging and rewarding. Best of luck in your research!