ACTA TECHNICA NAPOCENSIS

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1 8 TEHNIAL UNIVERITY OF LUJ-NAOA ATA TEHNIA NAOENI eries: Applied Matheatics, Mechanics, and Engineering Nr. 8, Issue III, eeber, 0 THE MEHANI AND MATHEMATI MODELING OF AEMBLY TYRE- MATTER OF A TRU BODY Andrei Octavian TRITEAN, Mariana ARGHIR Abstract: In this paper I developed the oscillating echanical equivalent siplified assebly tires - suspension, bodywork, with degrees of freedo, own a truck and I illustrated soe of the graphs resulting fro calculations for each of the asses. eywords: Truck, echanical and atheatical odeling, suspension, acoustic, vibration. INTRODUTION. The descriion for trucks that carry atheatical odeling Truck Actros 8 L Mercedes-Benz is characterized by excellent driving dynaics, ensuring oial cofort and grip, aneuverability and excellent control. everal coponents of the transission, the chassis and suspension have been redesigned and iproved significantly. Hypoid rear axle has also iproved and oiized. This allows ore efficient transfer of engine power to the wheels and reflected in a better adaation to the type of truck use, reduced fuel consuion and iproved efficiency. " assive safety is further enhanced by the oional bi-xenon headlaps, cornering light function, daytie running lights and rear lights with LED technology. For the driver this eans axiu cofort and a secure driving experience - fro the start and to destination.. In addition to standard Euro and EEV, the new Actros is one of the first vehicles equipped with engines designed to eet already requireents for Euro, with a fuel consuion by uo % lower copared to the previous odel equipped with engines Euro. With total costs extreely low, Actros is fitted with new innovative technologies and services designed specifically for your needs. treapace cabin with a width of 00, has a design for a driver suitable for use in the national transport over long distances. Oionally, it is available with a copletely flat floor, which gives a height of.9 *. With a higher volue of 00 liters and a storage space with 0 liters ore than the previous odel, the cab offers the best balance between aerodynaics and cofort during national transport operations over long distances. [Net].. Mechanical Modeling The contact between wheel and road safety oveent is iportant for the trucks. Bups, whether in the for of ruts or bups, vibrations induce the vehicle structure have an unfavorable influence on both passenger cofort and cargo transported integrity and the reliability of the vehicle. Also, these vibrations can lead to loss of contact wheel-way negatively ipact the safety oveent. To eliinate or reduce these undesirable phenoena daping systes use coplex consisting of springs, dapers and tires Fig...

2 888 a b c b Fig... The size and a truck suspension assebly a The diensionss of a truck. b a truck suspension [NEt] For an expression sipler to use abbreviated odel, -G - nuber of degrees of freedo - Tyres - uspension - Body. The shaping echanical structure assebly th taking into account tires truck, suspensionn syste and body Fig... ource of vertical vibration is considered to be irregularities tread. d Fig.... Daping eleents for a truck a spring b daper c ri- tire.d copletely daping syste [Net] For the theoretical study of vibration of a eans of transport, to develohe oscillating echanical equivalent siplified assebly tires - suspension, bodywork, with degrees of freedo, own a truck. Figure.. It presented such a truck suspension assebly. a Fig... The tires - suspension of a truck-body [Net] The tires and related suspensions are echanical odel using elvin-voigt odel [], which considers any echanical eleent being a ass syste - spring-daper. Masses each block in the tire-reel forat - suspension concentrated asses are represented by a point. The bodyshell is treated as a rigid solid ass loadedd wheels, M. It is assued that the center of gravity of the truck is located at its geoetric center. The entire echanical syste so odeled, has degrees of freedo each table oves in the vertical direction and freee subject

3 89 to vibration, shock absorbers, viscous daping Figure. contains echanical odel of this syste Fig... The echanical - TYRE - UENION-BODY of a truck In Figure.. I adoed the following notations: -,,,,, - ass-suspensionreel blocks tire [kg]; - - Body weight [kg]; - cp, cp, cp, cp, cp, cp - tire daping constants [Ns / ]; - cs, cs, cs, cs cs cs - the suspension daping constants [Ns / ]; - kp, kp, kp, kp kp, kp - elastic constants of tires [N / ]; - ks, ks, ks, ks, ks, ks - elastic constants of the suspension [N / ]. The disruion of the syste is the elevation of the road, which can be approxiated by a sinusoidal curve for of expression: 0 p h sin t ω,. where: - p - road layout function; - h0 - aplitude shading the road layout []; - ω - frequency excitation due to road layout [Hz] [] v π ω λ,. in which : - v - running speed of the truck [k / h]; - λ - wavelength length of shading []. - p - road layout function; - h0 - aplitude shading the road layout []; - ω - frequency excitation due to road layout [Hz] []. Matheatical odeling of tiresuspension-body assebly Fig.. Matlab iulink progra developed to solve atheatical odel The atheatical odel for the echanical odel -, a truck, in Figure.. is the syste of differential equations, hoogeneous, dynaic equilibriu, obtained for each segent of the echanical odel by applying the principle of d'alebert[]. Fig.. The speed for the ass

4 90 Fig.. The oveent for the ass Fig.. The speed for the ass Fig.. The acceleration for the ass Interpretation of results for the ass The resulting chart study progra run iulink results: The oveent of the table recorded with a axiu value.8 0-for the ass is saller than the displaceent introduced by the disturbance of the road with the value x 0-; The oveent of the ass is attenuated over tie and after. seconds have stabilized at a value slightly below x 0-. Fig.. The oveent for the ass Fig..8 The acceleration for the ass Fig.. The tire-suspension syste for ass Interpretation of results for ass : The resulting chart study progra run iulink results: The oveent of the table recorded with a axiu aount of.8 0- is saller than the displaceent introduced by the disturbance of the road ie x 0-; The oveent of the ass is attenuated over tie and after. seconds have stabilized at a value slightly below x 0-

5 9 Fig.. The acceleration for the ass Fig..9 The tire-suspension syste for the ass M Interpretation of results for M table: The resulting chart study progra run iulink results: -The oveent recorded with a axiu ass is. x 0-.This axiu value is saller than the displaceent introduced by the disturbance of the road and the value is x 0-; -The oveent of the M ass ranges swearing a sinusoid and fades in tie and after. seconds stabilizes at a value of. x 0-. Fig..0 The speed for the ass Fig.. The speed considering the unevenness of the road Fig.. The oveent for the ass M Fig.. The oveent considering the unevenness of the road

6 9. ONLUION The analysis of data obtained by running the progra can conclude:.the oveent,speed and accelerate of the M and M asses are identical;.e found that the variation in displaceent, velocity and acceleration asses M, M, M, M is the sae;.this siilarities are justified as the paraeters that characterize the front or rear axle are identical while the disturbance seen on the right is the sae as seen on the left. The difference recorded between the two decks is because they have different characteristic paraeters;.the oveent recorded of the ass M is uch saller than other asses, due to attenuation occurred throughout the entire syste.. BIBLIOGRAHI []Mariana.Arghir,V.Ispas,F.raciun,I.toian,F.Blaga,.Borzan,G.Deliu-Monitorizarea zgootului traficului rutier,008, pagini,e.d. Bucuresti,IBN: [] Arghir Mariana, Mechanics. Rigid Body ineatics Dinaics, 0 pag., Editura U.T.ress, IBN , luj-napoca, 00. [] Engineering Noise ontrol-understanding Active Noise ancellation,olin H.Hansen Hbk: 0 9 pon ress bk: 0 9 [] Fundaentals of Noise and Vibration, Frank Fahy and John Walker, bk: [] Gillespie TD. Fundaentals of Vehicle Dynaics. Warrendale, A: ociety of Autootive Engineers Inc.; 99. [] Booth, E., antros, E., yle B, Linders W., Autoobile Vibration Analysis, MAE 00 zste Dznaics roject Fall 009, University of Missouri-olubia, 009 [Net] *** [Net] *** [Net]*** ehnica-ecanica/auto [Net]*** tedeaortizarepentruunautocaion MODELAREA MEANIA ŞI MATEMATIĂ A ANAMBLULUI ANVELOE- AROERIE A UNUI AMION Abstract: In aceasta lucrare se realizeaza studiul oscilatiilor ecanice a sisteului avelopecaroserie pentru un caion. e considera un siste ecanic cu grade de libertate, un grad de libertate al caroseriei si grade de libertate date de sisteul de asezare pe roti anvelopate Andrei Octavian TRITEAN, hd tud., Departent of echanical Engineering ystes, Technical University of luj-napoca, Faculty of Machines Building, Tel: , Mariana ARGHIR, prof. Dr. Eng. Departent of echanical Engineering ystes, Technical University of luj-napoca, Faculty of Machines Building, Tel> 0.0.