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This proposed device uses a single actuator to transition a bistable constrained compliant beam to generate undulatory motion. Undulatory locomotion is a unique form of swimming that generates thrust through the propagation of a wave through a fish’s body. This paper draws inspiration from Anguilliformes and discusses the kinematics and dynamics of wave propagation of a bistable underwater robot. Thrust generation is explored through modeling and experimentation of the length constraint to better understand the device. This paper validates the theoretical spine behavior through experimentation and provides a path forward for future development in device optimization for various applications. Previous work developed devices that utilized either paired soft actuators or multiple redundant classical actuators that resulted in a complex prototype with intricate controls. Our work contrasts with prior work in that it aims to achieve undulatory motion through passive actuation from a single actively driven point which simplifies the control. Through this work, the goal is to further explore low-cost soft robotics via bistable mechanisms, continuum material properties, and simplified modeling practices.