BULETINUL INSTITUTULUI POLITEHNIC DIN IAŞI
buletinul institutului politehnic din iaşi - Universitatea Tehnică ...
buletinul institutului politehnic din iaşi - Universitatea Tehnică ...
- No tags were found...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
<strong>BULETINUL</strong> <strong>INSTITUTULUI</strong> <strong>POLITEHNIC</strong> <strong>DIN</strong> <strong>IAŞI</strong><br />
Publicat de<br />
Universitatea Tehnică „Gheorghe Asachi” din Iaşi<br />
Tomul LVIII (LXII), Fasc. 3, 2012<br />
Secţia<br />
MATEMATICĂ. MECANICĂ TEORETICĂ. FIZICĂ<br />
USAGE OF SPLINE FUNCTION METHOD FOR<br />
GENERALIZATION OF THE DEFORMATION<br />
COEFFICIENT MODEL<br />
BY<br />
IULIAN AGAPE 1 , LIDIA GAIGINSCHI *1 , ADRIAN SACHELARIE 1<br />
and VASILE HANTOIU 2<br />
“Gheorghe Asachi” Technical University of Iaşi,<br />
Department of Automotive and Mechanical Engineering<br />
2 ISU Vrancea<br />
Received: 22 March 2012<br />
Accepted for publication: 12 April 2012<br />
Abstract. The utility of deformation coefficient model in kinematic study<br />
of collisions between vehicles has – even in collinear collisions – certain<br />
constraints: the reduced number of the considered points (usually 3, 4 or 6)<br />
negatively affects the accuracy of results and thus the applicability of the model.<br />
The paper proposes a generalization of the model for a finite number of<br />
points; this compensates the disadvantages mentioned above. A deformation<br />
function was determined based on an interpolation function algorithm on exact<br />
data, defined on a discrete lot of points, using spline function method. The<br />
method is advantageous in terms of simplicity, the spline-function used being<br />
III -rd grade polynomial, on portions.<br />
The purpose of the paper was achieved by determining the analytical<br />
expressions of the function - strain energy of deformation and medium<br />
deformation. Based on this calculus algorithm an original calculus program was<br />
developed, that has been calibrated on a numerical example from the literature.<br />
The value of this generalization model consists in the possibilities offered to<br />
improve the accuracy of CRASH3 model.<br />
Key words: spline function, deformation coefficient.<br />
* Corresponding author: e-mail: lidiagaiginschi@yahoo.com