UNIVRSIY OF PISI FACULY OF MCHANICS AND CHNOLOGY SCINIFIC ULLIN AUOMOIV series ear XIX no. DYNAMICS MODLING OF A ORQU CONVRR WIH WO LINKAG AND INRIAL MASS Ion ION-GUA * Universit of Pitesti Roania Artice histor: Receive:.7.; Accepte: 9.9.. Abstract: his artice escribes construction of an oe of torque converter with two inkage an two egrees of freeo. his echanis is a echanica appication of the theor on the transission of echanica power b vibrations. he echanica power is transitte fro engine to the output shaft through a caranic transission two osciating evers with inertia ass en a uniirectiona echanis. his torque converter is anaze b AMSi. Dnaics oeing of an autootive appication wi eonstrate its high perforances characteristics. In the oeing of this power transission sste the stiffness of the shafts an various contro ogics are incue. Kewors: torque converter; naics oeing; AMSi. INRODUCION he echanis propose to be anaze in this artice is presente in Figure. It is copose of a universa joint shaft US an asseb of two bars an connecte in couper point A an inertia ass ounte at the en of bar an uniirectiona echanis UM. On the basis of the notations can be writen reations x A () A () x xa () A () where are the position anges of bars an reative to the axis ox. ase on the above resut x (5) (6) he kinetic energ of this echanica sste [] [] is x (7) * Corresponing author. ai: ion.ion@upit.ro Figure. Scheatic representation of the torque converter
76 where are oents of inertia of the input an output shaft an ; ; x x ; (8) Differentiate with respect to tie reation (7) is obtaine (9) he Lagrange equations [] [] [5] for this echanis can be write as for () where are the input an output echanica torque on the input an output shafts respective () () () Fina we obtain the reations () With notations (5) (6) (7) the reations can aso be written in the for (8) With notations ; ; ; it is obtaine the foowing reations g f (9) with initia conitions t ; () SIMULAION SCHM Siuation schee of echanica transission is presente in figure. It is copose fro input shaft inkage echanis uniirectiona echanis an output shaft [8] [9] []. Siuation was ae b two istinct was: - b actuating with prie over with constant spee ; - b actuating with prie over with constant torque.
he ain characteristics of operation b actuating with prie over with constant spee are presente in Figures Figure 5 an Figure 8a. he ain characteristics of operation b actuating with prie over with constant torque are presente in Figure 6 Figure 7 an Figure 8b. ie variation of oa is presente in Figure. Siuations was ae with the foowing initia ata: 5rev / in ; N ; ; 7 ; ; ; 5 ; kg ; kg ; D 5kg ; Figure. Siuation schee of torque converter Figure. ie variation of oa (output torque ) Figure. orques variation an epening on the output spee 77
Figure 5. Output power P an efficienc variation epening on the output spee Figure 6. Output orque an input spee ω epening on the output spee Figure 7. Output power P an efficienc variation epening on the output spee Figure 8. Output spee variation to square variation of output torque a) for prie over with const. ; b) for prie over with const. 78
CONCLUSIONS Fro the anasis of the above charts it is notice ajor ifferences between operation with the oaing in ascening sequence an the operation in escening sequence of oas. hese ifferences increase with increase of oents of inertia an. he axiu power is transitte to the eian spee of the output shaft. RFRNCS [] aon. G. ao. Kineatic an Dnaic Siuation of Mutibo Sstes: he rea-ie chaenge Spring-Verag New-York 99. [] Hartenberg R. S. Denavit. Kineatic Snthesis of Linkages McGraw-Hi ook Copan Lonon 96. [] ran A. G. Sanor G. N. Mechanis e Prentice-Ha Upper Sae River N 98. [] Kane. R. Anatica eeents of echanics Vo. Acaeic Press New York 959. [5] Wison H.. urcotte L. H. Hapern D. Avance atheatics an echanics appications ug MALA Chapan & Ha/CRC. [6] Strang. G. Introuction to Appie Matheatics Cabrige Press 986. [7] Gi P.. W. Murra M. Wright Practica optiization Acaeic Press Inc. Lonon 98. [8] Gueret. Vaéo: Moeing of Copex Sstes with Appications in Autootive ransissions uropean AMSi Users' Conference Paris Ma 6th. [9] Lebrun M. Richars C. W. Iagine: How to Create Goo Moes Without Writing a Singe Line of Coe Fifth Scaninavian Internationa Conference on Fui Power SICFP'97 Linköping Sween Ma 8-9 997. [] Doebein O. Sste Dnaics Moeing an Response Frierich Vieweg & Sohn Verag Wiesbaen 6. 79