Vibration Control of Elastic Double-Beam System Interconnected by a Bio-Inspired Nonlinear Connectors

Abstract

Abstract. This article systematically investigates the isolation performance of a double-beam system interconnected by a nonlinear X-shaped connector. Based on Hamilton's principle and geometric analysis, a dynamic model of the system is derived. This model is used to explore the sensitivity of vibration suppression performance to key parameters, including the tuning ratio and connector design. The analytical findings are subsequently validated through finite-element simulations, ensuring consistency between theoretical predictions and numerical results. The theoretical findings demonstrate that: (a) compared to linear connectors, the nonlinear X-shaped connector enables the double-beam system more effectively isolate vibration transmission between flexible bodies and perform better under large-amplitude excitations by utilizing the geometric nonlinearity of the connector; (b) their adjustable parameters allow flexible tuning to meet vibration reduction needs in various environments; (c) an unequal-length design of the upper and lower beams improves vibration control; (d) adapting the system's tuning ratio according to excitation frequency yields superior vibration attenuation. This research proposes a potential method for the vibration isolation of continuous systems utilizing bio-inspired nonlinear characteristics.