Buckling and Dynamical Behaviors of Hard Magnetic Soft Pipe Conveying Fluid Under Distributed Spring Constraint
摘要
Fluid-conveying pipes have been widely used in diverse engineering fields, particularly in aerospace systems, nuclear power plants, oil transportation infrastructure, and biomedical devices. The recent advancements in 3D printing and materials science have increased research interest in the stability and vibration characteristics of slender pipes fabricated from hard magnetic soft (HMS) materials for magnetic control applications. Although several theoretical investigations have been conducted on magnetically controlled cantilevered fluid-conveying pipes, the understanding of their dynamical behavior in vascular environments remains incomplete. In this study, we investigate the buckling and dynamical behaviors of an HMS pipe under the combined effects of an applied magnetic field and nonlinear distributed spring constraints. By solving the nonlinear governing equation, natural frequencies, critical flow velocities, buckling displacements, and dynamic responses of the HMS pipe conveying fluid are obtained. The analysis reveals that the addition of distributed spring constraints leads to a substantial reduction in both buckling and dynamic displacements of the pipe system. Under constant magnetic field conditions, the pipe exhibits static deformation characteristics even when exposed to flow velocities exceeding the critical threshold for buckling instability. When subjected to an alternating magnetic field, the pipe system exhibits periodic oscillatory behavior across a wide range of flow velocities. This periodic response is characterized by displacement variations that show direct correlation with changes in the magnetic declination angle. Notably, nonlinear resonance phenomena associated with the first-mode natural frequency can occur even when the flow velocity is below the threshold for buckling instability. These results demonstrate that both magnetic field strength and declination angle offer a possible means for adjusting the stability, buckling behavior, and dynamic response of an HMS pipe.