codeproject vb.net barcode generator FIGURE 16.19 How change in tooth shape affects load distribution on the teeth of the gear coupling. in Software

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FIGURE 16.19 How change in tooth shape affects load distribution on the teeth of the gear coupling.
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COUPLINGS 16.17
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COUPLINGS
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FIGURE 16.20 Diagram shows how parallel misalignment is converted to angular misalignment in each gear coupling mesh. For example, for an extended floating shaft with L = 12 in and = 1 , the misalignment is x = L tan = 0.20 in. For a standard double-engagement coupling with L = 2 in and = 1 , x = 0.03, which is significantly less.
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operating radius corresponding to a misalignment A and a spacing D between equipment. Then the following relations can be derived from Fig. 16.22: R= D2 + A2 4A (16.9) (16.10) (16.11) (16.12)
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A = 2R (4R2 D2 )1/2 D = [A(4R A)]1/2 CL = R D sin 1 90 2R
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where CL = flexible length between the equipment. FIGURE 16.21 Helixed flexible shaft made If the casing is eliminated from the of wire or rope. flexible shaft, a flexible coupling is created with much shorter maximum length (owing to lack of support and antihelixing without the casing). Typical commercial availability of this type of coupling is limited to 50 lb in and 16-in lengths with an 8-in minimum operating radius. Another similar coupling, the Uniflex, consists of three layers of springs, each with three rectangular wires wound around an open-air core. This coupling (Fig. 16.23) also runs without a casing and has maximum speeds of up to 20 000 rpm, depending on size. It is relatively free from backlash and winds up about 1 at rated torque. This design uses spring elements up to 3 in long with rated torque up to 2000 lb in at up to 4.5 misalignment. 16.3.6 Bellows Coupling This type of coupling, shown in Fig. 16.24, consists of an all-metal circular bellows attached to two hubs. The design exhibits zero backlash and constant-velocity operation and is torsionally rigid. However, commercial couplings are typically rated to a maximum of 30 lb in.
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Uniflex is a trademark of Lovejoy, Inc.
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COUPLINGS 16.18
POWER TRANSMISSION
FIGURE 16.22 Maximum parallel misalignment of flexible shafting. (Stow Manufacturing Company.)
FIGURE 16.23 Uniflex flexible-spring coupling. (Lovejoy, Inc.)
The torque rating is obtained from T= where T p k Do = = = = = 8pkD 2 o (16.13)
torque, in oz pitch, in spring rate per convolution, oz/in outside diameter, in length of a single convolution
The windup of the coupling (angular deflection) is measured in seconds of arc per inch-ounce of torque and is u= where 0.08 (Do + Di )3 t (16.14)
u = windup, seconds/(in oz) Di = inside diameter, in t = thickness of bellows, in
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COUPLINGS 16.19
COUPLINGS
Equations (16.15) and (16.16), which follow, apply to the determination of the life of this type of coupling. This life is dependent on the flexing motion due to angular and parallel misalignment, as shown in Fig. 16.25. The formula gives the operating misalignment corresponding to 105 flexing cycles (5 104 r). For 108 cycles, derate by 24 percent. Now, X=
FIGURE 16.24 A bellows coupling. (Servometer Corp.)
71.6NS Do N 2 nS Do
(16.15) (16.16)
where X = angular misalignment in degrees, Y = parallel misalignment, N = number of bellows convolutions, S = maximum total permissible bellows stroke, Do = outside bellows diameter, and n = r/min.
16.4 FLEXIBLE ELASTOMERIC COUPLINGS
In this type of coupling, it is an elastomeric cushioning material rather than only a metal part, as in the rigid, flexible metallic, or universal-joint (U-joint) couplings that is subjected to the dynamic stresses of the operating system.These flexible elastomeric couplings need no lubrication and only periodic visual inspection for maintenance. They are available as compression, precompression, shear, and tension types. The compression coupling is also known as the jaw, or block, coupling (Fig. 16.26). In this type of coupling, elastomeric cushioning blocks, rollers, or spiders are compressed between alternating pairs of fingers on the two hubs of the coupling.
FIGURE 16.25 Bellows coupling with angular misalignment X and parallel misalignment Y. (Servometer Corp.)
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