A Method for the Derivation of Coefficients for the Constant
Stiffness Force-Crush Model From Full-Engagement Front-toRigid Barrier Collision Tests Using Unequally Spaced Crush
Profiles.
Singh J. Accid Reconstr J 2007; 17(3): 21-30.
(Copyright © 2007, Accident Reconstruction Journal)
Quantification of the planar residual damage profile present to a
vehicle involved in a collision in conjunction with the appropriate forcecrush model is a well-accepted method for estimating the energy
absorbed by the vehicle structure and the barrier equivalent velocity
(BEV) associated with the same. One such force-crush model,
representing the first such model developed and perhaps the most
commonly utilized, is that which assumes a linear relationship between
the crush present to vehicle and the BEV. The model also assumes a
linear relationship between the force applied per unit width of direct
damage and the crush present. The historical development of this
model, the assumptions behind it, and its normative implementation
have been exposited upon in detail elsewhere. The aim of the present
paper was to derive the equations of mathematical physics that allow
for the quantification of the parameters for the constant stiffness
force-crush model based on controlled front-to-rigid barrier fullengagement collision tests.