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1.
Kevin C. OrtmanNeeraj Agarwal Aaron P.R. EberleDonald G. Baird Peter WapperomA. Jeffrey Giacomin 《ournal of non Newtonian Fluid Mechanics》2011,166(16):884-895
In order to eventually predict the behavior of long fiber suspensions in complex flows commonly found in processing operations, it is necessary to understand their rheology and its connection to the evolution of fiber orientation and configuration in well defined flows. In this paper we report the transient behavior at the startup of shear flow of a polymer melt containing long glass fibers with a length (L) >1 mm, using a sliding plate rheometer (SPR). The operation of the SPR was confirmed by comparing the transient shear viscosity (η+) for a polymer melt and a melt containing short glass fibers (L < 1 mm) with measurements obtained from a cone-and-plate device, using a modified sample geometry that was designed to avoid wall effects. For the long fiber systems, measurements could only be obtained in the SPR because these systems would not stay within the gap of the rotational rheometer. Transient stress growth behavior of the long fiber systems was obtained as a function of shear rate and fiber concentration for samples prepared with three different initial orientations. Results showed that, unlike short fiber systems (with a random planar initial orientation) that usually exhibit a single overshoot peak followed by a steady state, η+ of the long fiber suspensions often passed through multiple transient regions, depending on the fiber concentration and applied shear rate. Additionally, η+ of the long fiber suspensions was found to be highly dependent on the initial orientation of the sheared samples. Finally, the initial and final fiber orientations of the long glass fiber samples were measured and used to initiate an explanation of the viscosity behavior. The results obtained in this research will be useful for future assessment of a quantitative correlation between transient rheology and the evolution of fiber orientation. 相似文献
2.
Summary The aeroelastic response analysis of a coupled rotor/fuselage system is approached by iterative solution of the blade aeroelastic
response in the non-inertial reference frame fixed on the hub, and the periodic response of the fuselage in the inertial reference
frame. A model of the coupled system hinged with the flap and lag hinges, the pitching bearing which may not coincide with
the hinges, and the sweeping-blade configuration is established. The moderate-deflection beam theory and the two-dimensional
quasi-steady aerodynamic model are employed to model the aeroelastic blade, all the kinetic and inertial factors are taken
into account in a unified manner. A five-nodes, 15-DOFs pre-twisted nonuniform beam element is developed for the discretization
of the blade, three rigid-body-motion DOFs are introduced for the motion of the hinges and the bearing. The Hamilton's principle
is employed to evaluate the equation of motion of the blade. The derived nonlinear ordinary differential equations with time-dependent
periodic coefficients are solved by a modified quasi-linearization method, which is developed for the higher DOF periodic
system. The resulting periodic forces and moments exerted on the fuselage by all the blades are evaluated every time, when
the converged nonlinear periodic response of the blade is obtained under the consideration of the equilibrium of the blades.
The fuselage structure is simplified to be a beam structure, the governing equation is established in the inertial reference
frame and a two-nodes beam element is used to discretize the flexible fuselage. The periodic response of the fuselage is solved
by a simple shooting method. The iteration of the rotor/fuselage response is continued, until the aeroelastic responses of
the blade and the fuselage converge simultaneously. Both the hovering and the forward flight states can be considered. The
results of a computed numerical example by the developed program are presented to verify in practice the economy of the modeling
as well as the reliability and efficiency of the corresponding solving methods.
Received 4 May 1998; accepted 11 August 1998 相似文献