DYNAMIC STABILITY OF LIQUID-FILLED PROJECTILES UNDER A THRUST

Abstract Fluid–structure interaction (FSI) problem is investigated to study the dynamic stability of liquid-filled projectiles under a thrust. The projectile is modelled as a flexible cylindrical shell, and the thrust is modelled by the constant and pulsating follower force. To analyze the fluid and structure simultaneously, hydrodynamic pressure of the liquid and elastic deformation of the structure are taken into consideration. We assume that the fluid is incompressible and having free-surface effect. In the numerical study, natural frequencies for various filling ratios of liquid of the cylindrical shells are analyzed and compared with the previous experimental and theoretical works for with and without the free-surface effect. Further, the results on dynamic stability of partially liquid-filled slender cylindrical shells under constant and pulsating follower force for various filling ratios of the fluid are summarized. Lastly, the effects of length and thickness of the shell are studied in detail.

[1]  Chahngmin Cho,et al.  Stability analysis using a geometrically nonlinear assumed strain solid shell element model , 1998 .

[2]  William J.T. Daniel,et al.  Modal methods in finite element fluid-structure eigenvalue problems , 1980 .

[3]  Edward L. Wilson,et al.  Finite elements for the dynamic analysis of fluid‐solid systems , 1983 .

[4]  Jaromír Horáček,et al.  Natural Modes and Frequencies of a Thin CLAMPED FREE Steel Cylindrical Storage Tank Partially Filled with Water: FEM and Measurement , 1996 .

[5]  Chung Bang Yun,et al.  A spurious free four-node displacement-based fluid element for fluid-structure interaction analysis , 1997 .

[6]  G. Housner.  The dynamic behavior of water tanks , 1963 .

[7]  Mohammad Aslam,et al.  Finite element analysis of earthquake‐induced sloshing in axisymmetric tanks , 1981 .

[8]  L. Meirovitch.  Analytical Methods in Vibrations , 1967 .

[9]  Yves Ousset,et al.  A displacement method for the analysis of vibrations of coupled fluid-structure systems , 1978 .

[10]  Roger Ohayon,et al.  Fluid-Structure Interaction: Applied Numerical Methods , 1995 .

[11]  Lorraine G. Olson,et al.  A study of displacement-based fluid finite elements for calculating frequencies of fluid and fluid-structure systems , 1983 .

[12]  R. Ohayon,et al.  Mechanical and numerical modelling of fluid-structure vibration instabilities of liquid propelled launch vehicle , 1995 .

[13]  S. Lee,et al.  A solid element formulation for large deflection analysis of composite shell structures , 1988 .

[14]  Seung-Keun Park,et al.  DYNAMIC STABILITY OF A COMPLETELY FREE CIRCULAR CYLINDRICAL SHELL SUBJECTED TO A FOLLOWER FORCE , 2000 .

[15]  C. D. Mote,et al.  The maximum controlled follower force on a free-free beam carrying a concentrated mass , 1985 .

[16]  R. Ohayon,et al.  Substructure variational analysis of the vibrations of coupled fluid–structure systems. Finite element results , 1979 .

[17]  J. Mistry,et al.  Vibration of cylinders partially-filled with liquids , 1995 .

[18]  Ali H. Nayfeh,et al.  Parametric excitations of linear systems having many degrees of freedom , 1977 .

[19]  Peter Göransson,et al.  A symmetric finite element formulation for acoustic fluid-structure interaction analysis , 1988 .

[20]  Y. Choo,et al.  DYNAMIC STABILITY OF A FREE-FREE TIMOSHENKO BEAM SUBJECTED TO A PULSATING FOLLOWER FORCE , 1998 .

[21]  R. Knops,et al.  The Dynamic Stability of Elastic Systems. By V. V. Bolotin. 1964. (Holden-Day)Non-Conservative Problems of the Theory of Elastic Stability. V. V. Bolotin. 1963. (Pergamon) , 1966, The Mathematical Gazette.

[22]  V. V. Bolotin,et al.  Nonconservative problems of the theory of elastic stability , 1963 .

[23]  W. Cristoph Müller,et al.  Simplified analysis of linear fluid‐structure interaction , 1981 .