BULETINUL INSTITUTULUI POLITEHNIC DIN IAŞI

BULETINUL INSTITUTULUI POLITEHNIC DIN IAŞI
Publicat de
Universitatea Tehnică „Gheorghe Asachi” din Iaşi
Tomul LVIII (LXII), Fasc. 3, 2012
Secţia
MATEMATICĂ. MECANICĂ TEORETICĂ. FIZICĂ
USAGE OF SPLINE FUNCTION METHOD FOR
GENERALIZATION OF THE DEFORMATION
COEFFICIENT MODEL
BY
IULIAN AGAPE 1 , LIDIA GAIGINSCHI *1 , ADRIAN SACHELARIE 1
and VASILE HANTOIU 2
“Gheorghe Asachi” Technical University of Iaşi,
Department of Automotive and Mechanical Engineering
2 ISU Vrancea
Received: 22 March 2012
Accepted for publication: 12 April 2012
Abstract. The utility of deformation coefficient model in kinematic study
of collisions between vehicles has – even in collinear collisions – certain
constraints: the reduced number of the considered points (usually 3, 4 or 6)
negatively affects the accuracy of results and thus the applicability of the model.
The paper proposes a generalization of the model for a finite number of
points; this compensates the disadvantages mentioned above. A deformation
function was determined based on an interpolation function algorithm on exact
data, defined on a discrete lot of points, using spline function method. The
method is advantageous in terms of simplicity, the spline-function used being
III -rd grade polynomial, on portions.
The purpose of the paper was achieved by determining the analytical
expressions of the function - strain energy of deformation and medium
deformation. Based on this calculus algorithm an original calculus program was
developed, that has been calibrated on a numerical example from the literature.
The value of this generalization model consists in the possibilities offered to
improve the accuracy of CRASH3 model.
Key words: spline function, deformation coefficient.
* Corresponding author: e-mail: lidiagaiginschi@yahoo.com