In this project, I explored the dynamics of multiple pendulum systems with translating and tilting pivots, aimed at applications such as inertial sensors in high-precision instrumentation. Using Lagrangian dynamics, I modeled systems ranging from double to n-pendulums, deriving natural frequencies and analyzing their behavior under translation and tilt. The study revealed significant differences in the dynamics when compared to fixed pivot systems, highlighting the complex motion due to additional degrees of freedom and non-linearities.
The results showed that parameters like mass, length, and stiffness significantly impact the natural frequencies of these systems. This investigation provided valuable insights for designing and controlling pendulous systems used in critical applications, laying the groundwork for future research on dynamic systems with multiple degrees of freedom.
The paper was accepted and published in Springer. You can access it here, or view it below: