液体中圆形体由变形耦合质心改变产生的运动

Motion of a circular cylinder in fluid by coupling of its deforming and changing centroid

为了进一步认识物体变形引起的自推进运动,该文从另一视角研究了液体中圆形体通过膨胀/收缩耦合质心变化产生的运动特性。根据Kirchhoff方程,推导出代数形式的运动方程。结果表明,在不考虑涡脱落和外力情况下,圆形体可以通过膨胀/收缩及其质心变化使自身从静止状态持续地运动起来。通过调整物体形变和质心的耦合模态,变形体可以在流体中产生多样的运动行为。

To fully understand the self-propulsion of immersed deforming bodies, the paper from another perspective investigates the migrating behaviors of a circular cylinder in a fluid by the coupling of its changing radius and centroid.According to the Kirchhoff equations, algebraic equations of motion for the cylinder are derived. The results indicate that a submerged body in circular shape makes itself move from a standstill with resorting to the coupling of its deformation and centroid movement without consideration of shedding vortices and external forces. By means of regulation of different modes of the changing parameter pair, the body can migrate in various ways.