eng Science and Education Publishing American Journal of Mechanical Engineering 2328-4110 2025-02-25 13 1 6 10 10.12691/ajme-13-1-2 AJME20251312 article Abdullah Al Hossain Newaz anewaz@my.bridgeport.edu 1 Refat Jahan 2 Mechanical Engineering, University of Bridgeport, Bridgeport, CT, USA Mechanical Engineering, University of New Haven, CT, USA This experimental study presents a comprehensive investigation into the dynamic modeling of a Rotary Servo Base Unit, focusing on deriving its dynamics equation and transfer function using first-principles. The study begins with an analytical approach, applying fundamental physics principles to model the system¡¯s rotary motion. To validate the theoretical model, two experimental methodologies are implemented to obtain the system¡¯s transfer function. The first method involves a frequency response experiment, where the system is subjected to sinusoidal inputs at varying frequencies. By analyzing the amplitude and phase responses, the transfer function is extracted, providing insight into the system¡¯s frequency-dependent behavior. The second method employs a bump test, a dynamic excitation approach that perturbs the system to observe its transient response. Through this method, the transfer function is derived based on the system¡¯s impulse response, offering additional validation and a broader understanding of its dynamic characteristics. By integrating these analytical and experimental approaches, this study establishes a robust framework for modeling the Rotary Servo Base Unit. The findings contribute to enhanced control system design and improved performance analysis in servo-based applications. https://pubs.sciepub.com/ajme/13/1/2/ajme-13-1-2.pdf Rotary Servo Base Unit Dynamic Modeling Transfer Function Frequency Response Bump Test Impulse Response Step Response System Identification Control System Design Servo Dynamics