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本文以三珠二杆粘弹性铰接的珠链作为纤维的模型,用将珠链运动分解为准刚体运动和纯变形运动的方法,对粘弹性珠链纤维在均匀变形流场中的悬浮运动进行了研究。得到了纤维速度,加速度分布公式,纤维平均取向的角速度南纤维纯变形运动方程。并发现,在纤维质心运动方程中,集中在纤维质心上的各圆珠的斯托克斯阻力之矢量和就等于流体作用于纤维质心的斯托克斯阻力;在纤维相对于质心的动量矩方程中,力矩是准刚珠链纤维中各圆珠上相对于纤维质心的斯托克斯阻力矩之矢量和。特别是在不计纤维惯性、重力和浮力的条件下,当纤维刚直并作平面运动时,其角速度与同样条件下无限长径比椭球角速度的 Jeffery 公式完全一致。
In this paper, a three-bead viscoelastic articulated bead chain is used as a model of fiber. The kinematic suspension of the viscoelastic bead-like fibers in a uniformly deformed flow field is performed by a method of decomposing the bead chains into a quasi-rigid body and a purely deformable body. Study. The equation of fiber velocity, acceleration distribution, and the pure deformation of the nanofibers at the angular orientation of the fiber orientation were obtained. And found that in the equation of motion of the centroid of fiber, the vector of the Stokes resistance of each ball centered on the centroid of the fiber is equal to the Stokes resistance of the fluid acting on the centroid of the fiber. When the moment of momentum of the fiber relative to the centroid In the equation, the moment is the vector sum of the Stokes drag moments of the individual beads in the quasi-just bead fibers with respect to the center of the fiber. Especially under the conditions of fiber inertia, gravity and buoyancy, when the fiber is rigid and planar, its angular velocity is exactly the same as Jeffery’s formula of infinite ellipsoid angular velocity in the same condition.