Roll axis

L = distance from roll axis to the gravity center of the point under consideration in feet H = heave (total displacement)... 

Let p(x) be the pressure as a function of the distance x from the calender nip perpendicular to the calender axes. The coordinate y describes the distance from the center of the clearance to the roll axis. The equation of motion in this case can be reduced to... 

The enlargement of the clearance caused by roll deflection can be compensated completely by applying an external bending force on the outer ends of the roll axis. 

To minimize wall friction, a square opening should be used whenever possible. However, since the dimensions perpendicular, and parallel, /q, to the roll axis have different effects on the rolling process, it is not always practicable to make both the same. 

There are only insignificant movements parallel to the roll axis. This implies that there is little redistribution of uneven feed across the face of the rollers. 

Using this approach, it was observed that more experienced pilots flying a Cessna T-37 light military training aircraft generally used higher frequency control inputs, particularly in the roll axis. McDowell concluded that there were changes in pilot s control movement power spectra as a function of skill level, and that measures of this property could be used effectively to discriminate pilot skill/experience level. However, the control input data obtained and subsequent analyses are specific to the type of aircraft, the task and the environment in which it is conducted. 

Attitude The angular orientation of a satellite in its orbit, characterized by roll (R), pitch (P), and yaw (Y). The roll axis points in the direction of flight, the yaw axis points toward the Earth s center, and pitch axis is perpendicular to the orbit plane such that R x P —> Y. For a GEO satellite, roll motion causes north-south beam pointing errors, pitch motion causes east-west pointing errors, and yaw causes a rotation about the subsatellite axis. 

The telescope was yoke mounted in a rocket fixed azimuth-elevation system. The payload was spin balanced about the longitudinal or roll axis, which is coincident with the sensor azimuth axis. A fine error guidance sensor, or star tracker, actively held the telescope azimuth axis fixed in celestial coordinates. Telescope was deployed to the desired elevation angle and the payload rotated about the roll axis. The sensor was stepped through an angle slightly less than the total field of view each time the payload rotated 360°. Thus a contiguous sector on the celestial sphere was mapped out. 

Fig. 2. By rolling up a graphene sheet (a single layer of ear-bon atoms from a 3D graphite erystal) as a cylinder and capping each end of the eyiinder with half of a fullerene molecule, a fullerene-derived tubule, one layer in thickness, is formed. Shown here is a schematic theoretical model for a single-wall carbon tubule with the tubule axis OB (see Fig. 1) normal to (a) the 6 = 30° direction (an armchair tubule), (b) the 6 = 0° direction (a zigzag tubule), and (c) a general direction B with 0 < 6 < 30° (a chiral tubule). The actual tubules shown in the figure correspond to (n,m) values of (a) (5,5), (b) (9,0), and (c) (10,5).

Fig. 4. Screw helicity the system of (P, O) coordinates used to describe Ihe orientation of the two-dimensional sp carbon layer in an unrolled cylindrical sheet whose edges are shown by the slanted unlabelled full lines. Closure of the cylinder is obtained by rolling the sheet around the direction of the cylinder axis given by the dotted line and superimposing hexagons A and B. The slanted dashed lines correspond to a continuous line of unbroken hexagons of the cylinder, and indicate the apparent angle of pitch /3.

In direct space successive layers are sheared homogeneously along cylindrical surfaces, one relative to the adjacent one, as a consequence of the circumference increase for successive layers. In diffraction space the locus of the corresponding reciprocal lattice node is generated by a point on a straight line which is rolling without sliding on a circle in a plane perpendicular to the tube axis. Such a locus... 

Process rolls are widely used by industry. As with other machine components, two radial (X- and Y-axis) and one axial (Z-axis) measurements should be acquired from each roll. However, the orientation of these measurement points... 

The primary (X-axis) radial measurement for the bottom roll should be in the vertical plane with the transducer mounted on top of the bearing cap. The secondary radial (Y-axis) measurement should be in the horizontal plane facing upstream of the belt. Since the belt carried by the roll also imparts a force vector in the direction of travel, this secondary point should be opposite the direction of belt travel. 

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