It is shown that the system of partial differential equations governing small amplitude vibrations of an elastic ring has solutions describing motions in which the axial curve C of the ring remains rigid, but executes a rocking motion while the cross-sections undergo torsional rotations about C that vary periodically both in time and in distance along C. This type of flexure-free torsional vibration can occur both in rings that are stress-free in a circular equilibrium configuration and in rings formed by bringing together and sealing, with or without the addition of twist, the ends of rods that are stress-free when straight. -
Bernard D., C., Lembo, M., Irwin, T. (1996). A new class of flexure-free torsional vibrations of annular rods. MECCANICA, 31, 565-575 [10.1007/BF00420826].
A new class of flexure-free torsional vibrations of annular rods
LEMBO, Marzio;
1996-01-01
Abstract
It is shown that the system of partial differential equations governing small amplitude vibrations of an elastic ring has solutions describing motions in which the axial curve C of the ring remains rigid, but executes a rocking motion while the cross-sections undergo torsional rotations about C that vary periodically both in time and in distance along C. This type of flexure-free torsional vibration can occur both in rings that are stress-free in a circular equilibrium configuration and in rings formed by bringing together and sealing, with or without the addition of twist, the ends of rods that are stress-free when straight. -I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
