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Out-of-plane impact at the tip of a right-angled bent cantilever beam
The response of a bent cantilever with a bend angle equal to pi/2 subjected to an out-of-plane impact has been analyzed. A double-hinge mechanism has been introduced and a complete solution for the problem has been achieved. Checks have been made to verify that the yield condition is not violated in each segment of the beam and during each of the response phases examined herein. A related problem is that of an out-of-plane pulse loading of a bent cantilever. Wang (1991) demonstrated that for beams with T0/M0 < 1, a similar double-hinge mechanism is required with a pure bending hinge in the first segment of the beam and a combined bending-torsion hinge in the second segment. There are four response phases, viz a stationary hinge phase during the application of the pulse; a traveling hinge phase with H1 and H2 moving towards C; a phase when H2 travels towards B and, finally, root rotation. One of the main differences between a pulse loading case and an impulsive loading one lies in the initial hinge positions. In a pulse loading case the hinge positions are mainly determined by the magnitude of the dyamic force while in the present problem the details of the loading have no influence at all. The impulsive case also has different response modes depending on the mass of the striker. With a light projectile, the deformation is mainly local bending in the beam portion close to the striking point. For a heavy slow striker, the response is mainly torsional rotation about the beam root. This differs from pulse loading in which about one third of the total energy is dissipated during the application of the pulse (Phase I) whatever the magnitude of the force.
Out-of-plane impact at the tip of a right-angled bent cantilever beam
The response of a bent cantilever with a bend angle equal to pi/2 subjected to an out-of-plane impact has been analyzed. A double-hinge mechanism has been introduced and a complete solution for the problem has been achieved. Checks have been made to verify that the yield condition is not violated in each segment of the beam and during each of the response phases examined herein. A related problem is that of an out-of-plane pulse loading of a bent cantilever. Wang (1991) demonstrated that for beams with T0/M0 < 1, a similar double-hinge mechanism is required with a pure bending hinge in the first segment of the beam and a combined bending-torsion hinge in the second segment. There are four response phases, viz a stationary hinge phase during the application of the pulse; a traveling hinge phase with H1 and H2 moving towards C; a phase when H2 travels towards B and, finally, root rotation. One of the main differences between a pulse loading case and an impulsive loading one lies in the initial hinge positions. In a pulse loading case the hinge positions are mainly determined by the magnitude of the dyamic force while in the present problem the details of the loading have no influence at all. The impulsive case also has different response modes depending on the mass of the striker. With a light projectile, the deformation is mainly local bending in the beam portion close to the striking point. For a heavy slow striker, the response is mainly torsional rotation about the beam root. This differs from pulse loading in which about one third of the total energy is dissipated during the application of the pulse (Phase I) whatever the magnitude of the force.
Out-of-plane impact at the tip of a right-angled bent cantilever beam
Schräger Stoß auf die Spitze eines rechtwinklig gebogenen Kragträgers
Wang, B. (Autor:in) / Yu, T.X. (Autor:in) / Reid, S.R. (Autor:in)
Transactions of the ASME, Journal of Applied Mechanics ; 62 ; 887-892
1995
6 Seiten, 6 Bilder, 2 Tabellen, 9 Quellen
Aufsatz (Zeitschrift)
Englisch
Transient response of a right-angled bent cantilever subjected to an out-of-plane tip load
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