Nonlinear vibration of axially moving beam under wind load
摘要
Axially moving beam systems often operate under wind load conditions. Understanding the influence of wind loads on the design and operation of such systems is crucial for ensuring their optimal performance and safety. In this study, an in-depth investigation is conducted into the nonlinear vibration of axially moving beam systems under wind loads. Based on the Euler–Bernoulli beam theory, a nonlinear vibration model considering the effect of wind loads is established. The differential quadrature method (DQM) is adopted to solve the equilibrium deformation of the system, followed by the multiple scale method (MSM) to obtain the system response. Additionally, the Galerkin Truncation method (GTM) is employed to derive the dynamic solution. Furthermore, this study systematically investigates the effects of key parameters such as average wind speed, axial moving speed, and damping coefficient on the dynamic characteristics of the system. The results show that wind loads induce a special cross-ringing phenomenon in the steady-state response curve: the response curve exhibits an unstable annular shape at lower average wind speeds, and the annular shape narrows with increasing wind speed; when the average wind speed reaches the critical value, a stable narrow annular curve emerges accompanied by special dynamic responses. The findings of this study are helpful for analyzing the dynamic characteristics of related nonlinear systems under wind loads.