Abstract

This paper is concerned with the oblique impact of a moving deformable mass on a beam laterally supported by some type of energy absorbing material. The problem is considered to be a model of the collision of an automobile with a highway protective system. The problem is idealized by assuming the beam to be rigid-pertectly plastic and backed by a rigid-perfectly plastic support material. The impacting mass is taken as rigid-perfectly plastic in that it can sustain only a limited force in contact with the barrier. The solution includes the determination of the contact force between the mass and the barrier and includes variable mass velocity parallel to the barrier and also considers convective terms which arise out of the rate of change of slope of the beam at the point of contact of beam and mass. Inclusion of this term allows the determination of the speed and angle of the vehicle as it leaves the deformed barrier.

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