Circle diagram

Since the motor now operates at a higher slip, the slip losses as well as the stator losses will increase. A circle diagram (Figure 1.16) illustrates this. 

The higher the full load slip, the higher will be the rotor losses and rotor heat. This is clear from the circle diagram and also from equation (1.9). An attempt to limit the start-up current by increasing the slip and the rotor resistance in a squirrel cage motor may thus jeopardize the motor s performance. The selection of starling current and rotor resistance is thus a compromise to achieve optimum performance. 

The rotor and stator heats, during start-up and run, arc interrelated and vary in the same proportion as their respective resistances. (See circle diagram Figure 1.16 in Section 1.10.)... 

Circle diagrams. Draw circle diagrams for (a) the decomposition of acetaldehyde and (b) the reaction of the organometal RM with 02. 

Cage escape yield, 202 Catalysis, 90-94 acid-base, 232-238 dual substrates in, 94 ucleophilic, 237-238 Catalytic reactions, circle diagrams for, 189... 

The progress of a first-order phase transition is summarized in figure 9. Each of the circled diagrams show the G — V relationship at particular points on or near to a co-existence line, or its extrapolation into the critical region. 

Dalton, usually given credit for the circle diagram, used these sketches in his works of 1803 and those works which followed. Starting with this primary attempt at formula writing, a whole series of 4aws" of the combining power of elements in a quantitative manner evolved as shown in Figure 1. 

Analysis of yielding at a notch (a) shear band patterns seen in a thin section cut from a polycarbonate specimen (b) slip line field pattern for yielding (c) Mohr circle diagram for the states of stress at points A and B in (b) (d) stress components on the surface of the prism marked out by neighbouring a and j3 slip lines. 

As in the two-dimensional case, the direct stresses are on the horizontal axis and the shear stresses are on the vertical axis. For the construction of the Mohr s circle, three circles are required. The stresses on any plane at any rotation, when plotted in the three-dimensional Mohr s circle diagram, are represented by a point located either on one of the three circles or within the area between the largest and the two smaller circles. The maximum shear stress is given by the radius of the largest circle. When constructing the Mohr s circle, the angle of rotation is double that of the real stress system. Shear stresses are positive if they cause clockwise rotation,... 

Figure 13.7 Circle diagram (—) unstable working point and (----) result of small...

For the analysis of combined stress in the two-dimensional situation the Mohr circle diagram (see Appendix A1.8) is of value. Normal stresses are represented along the x axis and shear stresses along the y axis, so the Mohr circle thus... 

Figure 11.12 Mohr circle diagram for two states of stress that produce yield in a material satisfying the Tresca yield criterion (a) and the Coulomb yield criterion (h)...

There are two other ways in which these results can be presented. First, recalling Section 11.2.6 and Figure 11.12, the Mohr circle diagram can be constructed from the data, as shown in Figure 11.19 where Bowden and Jukes s results appear as crossed points. This diagram leads naturally to a Coulomb yield criterion. 

In addition to an examination of the frequency response of series and parallel components of the circuit impedance/admittance, another approach may be particularly valuable. This analysis method involves plotting the real versus imaginary parts of some such complex quantity as admittance or impedance as parametric functions of frequency. Such Argand or "circle diagrams" have been used for many years in electrical engineering when complex dielectric constant is the quantity considered, they are known as Cole-Cole plots. ... 

Benzene is another molecule whose high symmetry enables one to use shortcuts. The orbital energies have already been found from the hexagon-in-a-circle diagram (see Fig. 8-9). The lowest- and highest-energy MOs must show all the symmetry of the molecule, as they are nondegenerate. Therefore,... 

For the analysis of combined stress in the two-dimensional situation the Mohr circle diagram (see standard texts [13]) is of value. Normal stresses are represented along the 1 axis and shear stresses along the 2 axis, so that the Mohr circle thus represents a state of stress, with each point representing the stresses on a particular plane. The direction of the plane normal is given relative to the directions of the principal stresses by the rule that a rotation in real space of 0 in a clockwise direction, corresponds to a rotation in Mohr circle space of 20... 

Fig. 6. Mohr s circle diagram for a granular material with passive failure at wall [4].

The optical admittance parameter has been introduced into thin-film optics with one specific aim, namely to visualize optical phenomena occurring within such systems by means of a graphical representation of the optical events known as the admittance diagram. Although this is one of a class of diagrams known collectively as circle diagrams, it is particularly powerful and attractive and therefore it is used extensively in thin-film optics. 

In this entry, the basic concept of stress is introduced and its relation to earthquake mechanisms is explained (for description of focal mechanisms, see entry Earthquake Mechanism Description and Inversion ). Mohr s circle diagram and simple failure criteria are described and used for defining the fault instability, principal faults and principal focal mechanisms. Methods of determining stress from observed earthquake mechanisms are reported and their robustness is... 

Earthquake Mechanisms and Stress Field, Fig. 2 Mohr s circle diagram. Quantities T and t are the normal and shear stresses along a fault, Ci, T2 and Cs are the principal stresses. All permissible values of a and T acting on a fault must lie in the shaded area of the diagram... 

Earthquake Mechanisms and Stress Field, Fig. 5 Griffith failure criterion, (a) Scheme of a cylindrical specimen with a fracture created by loading with stresses tri > (72 = left) and the corresponding Mohr s circle diagram (right), (b) Position of different... 

If the Mohr-Coulomb failure criterion is satisfied (red area in Fig. 6), the fault becomes unstable and an earthquake occurs along this fault. The higher the shear stress difference. At = t, the higher the instability of the fault and the higher the susceptibility of the fault to be activated. A fault most susceptible to failure is called the principal fault (Vavrycuk 2011a) being defined by the point in which the Mohr-Coulomb failure criterion touches the Mohr s circle diagram (blue point in Fig. 6)... 

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