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The objective of this work is to present a new simplified formulation of the impulse dynamics. This formulation will be used to simulate the dynamic behaviour of a system entering into collision and presenting several unilateral contacts. These unilateral contacts can be lost during the collision, which modifies the configuration of the system. The presented formulation has the advantage of coping with the changes in the configuration of the system and yielding a linear continuous model, which can be solved analytically. This formulation will be applied to study the behaviour of a system, made of a rider and its moped, during a collision. To validate the application of this simplified formulation, crash tests will be presented and their results will be discussed.
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Houidi et al. (2015) studied this question.
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