TRANSCRITICAL DEFORMATION OF A CYLINDRICAL SHELL ON IMPACT (ZAKRITICHESKAYA DEFORMATSISYA TSILINDRICHESKOI OBOLOCHKI PRI UDARE)
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OH
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The axisymmetrical elastic deformation of a circular cylindrical shell under longitudinal impact is investigated by using a system of nonlinear equations with the propagation of elastic stress waves taken into account, and without any assumptions concerning the mode of buckling. One end of the shell is fixed, the other end is axially impacted by a rigid solid moving at a velocity V the ratio m of the mass of the body to the mass of the shell is given. The analysis of the impact-deformation process in this shell is reduced to solving this nonlinear system with initial and boundary conditions by the method of finite differences, utilizing an explicit scheme whose convergence and stability was checked. The behavior of the shell was studied in the time interval in which the longitudinal compression wave propagates along the whole length of the shell, and the first reflected wave comes back. The results from calculating the normal displacements along the shell at various instants of both waves propagating, for the ratio m 3.64 and nondimensional velocities Va 0. 0005 0.001 0.002 and 0.004 where a is the velocity of sound are shown in diagrams and are examined.
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