Collision between a ring and a beam

Ruan, Haihui; Yu, Tao

doi:10.1016/j.ijmecsci.2003.09.025

Cited by 7 publications

(3 citation statements)

References 8 publications

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“…The system can be simplified into inelastic collision between impact bar and transmitter bar, with the rings in between idealised as a nonlinear plastic spring. Thus the energy partition and absorption can be analysed in the same way as in the conventional inelastic collision [2,9,10]. There are three states in such a collision (Figure 14).…”

Section: Simplified Analytical Model For Energy Distributionmentioning

confidence: 99%

Impact behaviour of a multi-body system with energy dissipation

Shen

Liu

2008

International Journal of Crashworthiness

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When a multi-body system is subjected to impact, its crashworthiness performance depends not only on the energy absorption characteristic but also on the mass distribution of the multi-bodies. In this study, experimental and numerical investigations have been carried out into the impact response of a simple multi-body system. The system consisted of two rigid movable masses and a series of several aluminium rings placed in between. The experiments were performed by making use of a conventional split Hopkinson pressure bar (SHPB) test system, but with short bars, and finite element software ABAQUS was used to simulate the collision system. Strain histories at the bars were tracked by dynamic semi-conduct gauges and deformation processes of the rings were recorded using a high-speed camera. Strain values at the characteristic points of the rings were also obtained from the FE simulation and then compared with the experiment. Contact force at the interface between the transmitter bar and ring system was obtained by a deconvolution method. Major factors which influence the energy dissipation of the collision system are discussed. A simplified analytical model was proposed to predict energy absorption and global deformation of the rings, and the response of the rigid bodies. The analytical results broadly agree well with those from the experiments and numerical simulations. This study highlights the significance of arrangement details of a multi-body system as well as its energy absorption characteristics, which will be important in designing systems with energy absorption. Notation bDepth of rings and depth of equivalent bar β Mass ratiõ c e Speed of elastic wave propagation D Outer diameter of a ring δ Deflection of a ring σ p Equivalent yield stress of the equivalent bar σ D Enhanced dynamic stress e Coefficient of restitution E Elastic modulus of ring material E Elastic modulus of equivalent bar E e Elastic energy of a single ring E E Elastic energy of ring system EI Flexural rigidity of ring section E p Plastic energy L 1 Length of the impact bar L 2 Length of the transmitter bar m 1 Mass of impact bar m 2 Mass of transmitter bar m r Mass of each ring η A Dissipation ratio η T Transmitting ratio P 0 Collapse load of a single ring * Corresponding author. Email: gxlu@ntu.edu.sg ρ Density of ring material ρ Equivalent density v ij Velocity of mass i at state j v 0 Critical velocity t Thickness of ring cell IntroductionWith the advancement of technology, vehicles travel faster and faster nowadays. This requires that energy absorbing devices are incorporated in the design of vehicle systems, to minimise the damage of passengers and goods in the event of collision. A key function of these devices is to dissipate or redistribute the kinetic energy to reduce impact severity. Ring and short tube systems are common structural components and their load-deformation curves are desirable for energy absorption, and so ring systems are widely used as efficient energy absorbers in the engineering field [5].Researchers have studie...

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Section: Simplified Analytical Model For Energy Distributionmentioning

confidence: 99%

Impact behaviour of a multi-body system with energy dissipation

Shen

Liu

2008

International Journal of Crashworthiness

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“…Especially, traveling plastic hinges may appear, as discussed in Refs. [8,16]. However, this phenomenon serves just as a geometric assumption and no sufficient significance was given to it.…”

Section: Stage 3: Three Plastic Hingesmentioning

confidence: 99%

“…Despite their studies, some interesting phenomena remains to be clarified, in particular, the contact deformation of a semicircular beam with two ends clamped and pressed by a rigid plane, which is of interest since it concerns the crashworthiness design of airframe. Ruan and Yu [16] discussed this problem based on rigid-plastic assumption with no experimental verifications.…”

Section: Introductionmentioning

confidence: 99%

Elastic–plastic behavior of a semicircular frame being pressed against a rigid plane

Zhang

Yang

2008

Acta Mech Sin

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As a simplified structural model, a semicircular frame is used to study the crashworthiness behavior of an aircraft fuselage. The quasi-static large elastic-plastic deformation of a semicircular frame in the process of its being pressed against a rigid ground is analyzed. First, based on the linear elastic assumption, the quasi-static large deformation contact process of the frame can be divided into three phases, i.e., point contact, line contact and post-buckling. By means of a shooting method, the relations between the displacement and contact force as well as the distribution of bending moment in the three phases are obtained. Then, by assuming an elastic, perfectly-plastic moment-curvature relationship for the semi-circular frame, the contact process is analyzed in detail to reveal the plastic collapse mechanism, the traveling of plastic hinge and the force-displacement relationship. In order to verify the analysis, a preliminary experiment was conducted, in which two types of half rings with clamped ends were pressed by a rigid plate. In addition, a numerical simulation is also conducted by employing ABAQUS to analyze both rectangular cross-sectional beam and I-beam. Finally, the theoretical predictions are compared with the experimental results and numerical solutions, showing that the elastic-plastic analysis can predict the contact process very well.

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