Scientific Papers Series B Horticulture

where: P F represent the coordinates of point F;T – transformation matrix (Naghiu, L., 2003).The transformed equations will be:These trajectories are shown in figure 2, basedon the parametric equations of point F(x F , y F ,z F ) (Vlad C. and all., 2012).Figure 2. Blades’ tips oscillation on a horizontal planeWhere S is the distance covered by the complexaggregate following the movement's direction.The distance covered by the complex aggregateis time dependent and is calculated using therelation:Parametric equations of the absolute movementof point F(x F , y F , z F ) are obtained by makingthe corresponding replacements:By analyzing the aggregate’s operation, theblade-bearing bar’s oscillation on a planeperpendicular to the movement direct can beobserved. This can be verified by using theparametric equations of point F(x F , y F , z F ). Thefact that the blade-bearing bars follow anoscillatory movement on plane xOz can beobserved in figure 3.Parametric equations xF=f(r, n, H, l, c, L, b, n ) and zF =f( r, n, H, l, c, L, b, n ) can also beused to represent the trajectories on the xOzvertical plane, according to figure 3.The trajectory of the blade’s top (Vlad C. andall., 2012) is determined by using the F(x F , y F ,z F ) point’s parametric equations. By drawingthe trajectory followed by the complexaggregate’s working organ several aspects canbe determined: studying soil modelling atdifferent speeds of the complex aggregate, thetheoretical study of the aggregate’s behaviorand also the theoretical study of the blades’working process.The equations for joined blades and bladesmounted on the other bars can be determinedby using the parametric equations of theabsolute movement (12). During calculations,the following will be taken into consideration:step between the blades, p;phase shift betweentime crankpin, n ;the distance between theblade-bearing bars, d.Figure 3. The blade bar’s oscillatory movement.During operation, the blades follow the bar’smovement, receiving the alternationtranslational movement perpendicular to theforward movement in the xOz plane, accordingto figure 4.129