Abstract: Method for processing parameters of a spatiotemporal trajectory of movement of a moving body, this method being characterized in that: after having collected the data of the trajectory, the curvilinear abscissa (s) of the trajectory is calculated at least for the point of origin (A, B, C, . . .

Abstract: An apparatus for guiding a threaded spindle in rotation, which spindle is used to ensure the displacement in translation of a mobile element connected to a threaded female piece engaged on this threaded spindle, which threaded spindle has a certain length and is connected, by one of its opposite ends, to a motor device for driving in rotation about its longitudinal axis in such a way as to allow the displacement in translation of the threaded female piece, wherein this apparatus includes at least one device for elastic absorption of an axial force which force, directed axially with respect to the threaded spindle and toward either one of its opposite ends, arises between this threaded spindle and the threaded female piece, and which force, when exceeding a certain limit, is considered likely to distort in particular the surfaces by which the threaded spindle and the threaded female piece cooperate.

Abstract: A motorized device including a first element, a second element, a third element, a fourth element, and a fifth element, wherein in this device the fifth element is constructed around an elongated piece perforated by an axial channel, which elongated piece is referred to as a sixth element, an axial channel of the sixth element is of an inner diameter greater than an outer diameter of the first element such that an entire longitudinal axis of the sixth element is able to be engaged along the first element, at least one of the first element and the sixth element is equipped with a seventh element, the function of the seventh element is to ensure a coupling in rotation of the first and the sixth elements.

Abstract: A method of optimizing the functioning of a machining center for machining, at least one piece, by removal of material by means of at least one cutting tool. The machining center includes a certain number of different components including at least a structure, such as a frame, and at least one motor elements for producing actions of driving and displacement of at least the cutting tool and the piece. Further, the method includes an installation for lubricating and cooling the tool and the piece by means of a fluid, (i.e., lubricant) by determining at least one temperature value for the lubricant, at least empirically, referred to as the reference value, at which the machining center functions in a stable way, (e.g.

Abstract: A machining center comprising a frame and, borne by this frame, two devices, referred to as workpiece support devices because each allows a workpiece to be machined to be supported and driven in rotation about a control axis, this machining center being characterized in that: each of the two workpiece support devices is supported by a device for control and for translatory displacement along a first axis, the said devices for control and for translatory displacement being actuated in such a way that each of the workpiece support devices is movable between a position of maximal distance from the opposite support device and a position of maximal bringing closer together with this opposite workpiece support device, the sum of the ranges of possible displacements of the two workpiece support devices being at least equal to the distance which separates the two workpiece support devices when they are placed in their maximal spaced apart position, the main device for holding and for displacement of at least one ma