Abstract :
impact problem of two concentric, hollow, circular, elastic cylinders of same
materials with zero clearance is studied, where the interior hollow cylinder is subjected to different
uniformly distributed, exponentially decaying, interior pressures. The structural sizes and material
parameters of the impacting system are unchanged. The influences of multiple collisions and multiple
separations on interface impact pressures, dynamic radial displacements and stresses, are considered
in the present investigation. The global histories of interface impact pressure have similar decay
tendencies, and there exist three types of interface impact pressure branches. A so called ‘group’
phenomenon occurs in the histories of interface impact pressure, where several collisions take place
closely together to form a cluster of interface impact pressure branches. Two neighboring cluster
have an approximately constant time interval. The quasi-periodic growing of clusters means the
impacting system is stable, and will result in quasi-periodic motions. A main frequency exists in the
impacting system as well, which is different from the natural frequencies of two hollow cylinders.
Q 1997 Elsevier Science Ltd.
