Modeling and simulation of aerial refueling by finite element method

The aerial refueling hose-and-drogue system is a special case of a generalized aerial cable towed system. The present work investigates the effect of pertinent parameters such as the cable tension, tow point disturbance and vortex wake on the dynamic behavior and stability of the generalized model by using the finite element method with an accurate and computationally efficient three-noded, curved beam element. The analysis results show that the conventional modal and spectrum analysis method is inappropriate for the dynamic stability analysis of the aerial cable towed system. This is because the mechanism of instability due to the tow point disturbance is not the resonance of the aerial cable towed system but the wave propagation downstream along the cable absorbing energy from the airflow when the wave propagation speed is less than the airflow speed. The study also demonstrates that the vortex wake has a significant impact on the dynamics of the aerial cable towed system. The short cable system will orbit with the vortex and the orbiting behavior will diminish as the cable length increases.

[1]  Mitchell J. McCarthy,et al.  United States Marine Corps aerial refueling requirements analysis , 2000, 2000 Winter Simulation Conference Proceedings (Cat. No.00CH37165).

[2]  Klaus-Jürgen Bathe,et al.  Locking Behavior of Isoparametric Curved Beam Finite Elements , 1995 .

[3]  David Yeh,et al.  Numerical Simulations of KC-10 In-Flight Refueling Hose-Drogue Dynamics with an Approaching F/A-18D Receiver Aircraft , 2005 .

[4]  J J Burgess EQUATIONS OF MOTION OF A SUBMERGED CABLE WITH BENDING STIFFNESS , 1992 .

[5]  P. Raveendranath,et al.  A three‐noded shear‐flexible curved beam element based on coupled displacement field interpolations , 2001 .

[6]  Zheng H. Zhu,et al.  Elastodynamic analysis of low tension cables using a new curved beam element , 2006 .

[7]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[8]  I. Sharf Nonlinear Strain Measures, Shape Functions and Beam Elements for Dynamics of Flexible Beams , 1999 .

[9]  Gangan Prathap,et al.  An isoparametric quadratic thick curved beam element , 1986 .

[10]  Shaker A. Meguid,et al.  Nonlinear FE-based investigation of flexural damping of slacking wire cables , 2007 .

[11]  Bernard Etkin Stability of a Towed Body , 1998 .

[12]  Q. Wu,et al.  Non-linear vibrations of cables considering loosening , 2003 .

[13]  S. T. Quek,et al.  LOW-TENSION CABLE DYNAMICS: NUMERICAL AND EXPERIMENTAL STUDIES , 1999 .

[14]  B. Buckham,et al.  Development of a Finite Element Cable Model for Use in Low-Tension Dynamics Simulation , 2004 .

[15]  Gennady M. Kulikov,et al.  Non-conventional non-linear two-node hybrid stress-strain curved beam elements , 2004 .

[16]  R. W. Clough,et al.  A curved, cylindrical-shell, finite element. , 1968 .

[17]  David Yeh,et al.  Numerical Simulations of KC-10 Centerline Aerial Refueling Hose-Drogue Dynamics with a Reel Take-Up System , 2003 .

[18]  Gangan Prathap,et al.  Reduced integration and the shear-flexible beam element , 1982 .

[19]  Thomas J. R. Hughes,et al.  Implicit-explicit finite elements in nonlinear transient analysis , 1979 .

[20]  Bernhard A. Schrefler,et al.  A total lagrangian geometrically non-linear analysis of combined beam and cable structures , 1983 .

[21]  David Yeh,et al.  Dynamic Characteristics of a KC-10 Wing-Pod Refueling Hose by Numerical Simulation , 2002 .

[22]  T. Belytschko,et al.  Membrane Locking and Reduced Integration for Curved Elements , 1982 .

[23]  Shaker A. Meguid,et al.  Dynamic multiscale simulation of towed cable and body , 2003 .

[24]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[25]  Christopher T. Howell,et al.  NUMERICAL ANALYSIS OF 2-D NONLINEAR CABLE EQUATIONS WITH APPLICATIONS TO LOW-TENSION PROBLEMS , 1991 .

[26]  S. H. Lo,et al.  Geometrically nonlinear formulation of 3D finite strain beam element with large rotations , 1992 .

[27]  Gangan Prathap,et al.  A linear thick curved beam element , 1986 .

[28]  Bradley J. Buckham,et al.  Dynamics simulation of low tension tethers , 1999, Oceans '99. MTS/IEEE. Riding the Crest into the 21st Century. Conference and Exhibition. Conference Proceedings (IEEE Cat. No.99CH37008).

[29]  Zheng H. Zhu,et al.  Elastodynamic Analysis of Aerial Refueling Hose Using Curved Beam Element , 2006 .