Abstract

Mechanical light choppers are used in many optical systems with a great deal of success. At high PRF’s, however, designers often tend to avoid their use because of stress and torque limitations. This article attempts to provide an optical engineer with sufficient information to compute the maximum stresses in a chopper wheel. It also provides curves for estimating the torque required to drive the wheel as well as general design guidelines. An example is shown of a 10-kHz chopper that was designed from the data presented and is now in use.

© 1973 Optical Society of America

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References

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  1. X. Wang, Applied Elasticity (McGraw-Hill, New York, 1953).
  2. X. Timoshenko, X. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1970).
  3. X. Timoshenko, Strength of Materials (Van Nostrand, Princeton, 1956), Vol. 2.
  4. X. Schlichting, Boundary Layer Theory (McGraw-Hill, New York, 1968).

Goodier, X.

X. Timoshenko, X. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1970).

Schlichting, X.

X. Schlichting, Boundary Layer Theory (McGraw-Hill, New York, 1968).

Timoshenko, X.

X. Timoshenko, Strength of Materials (Van Nostrand, Princeton, 1956), Vol. 2.

X. Timoshenko, X. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1970).

Wang, X.

X. Wang, Applied Elasticity (McGraw-Hill, New York, 1953).

Other (4)

X. Wang, Applied Elasticity (McGraw-Hill, New York, 1953).

X. Timoshenko, X. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1970).

X. Timoshenko, Strength of Materials (Van Nostrand, Princeton, 1956), Vol. 2.

X. Schlichting, Boundary Layer Theory (McGraw-Hill, New York, 1968).

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Figures (5)

Fig. 1
Fig. 1

Stress variations with radial distance.

Fig. 2
Fig. 2

Maximum stress in a rotating aluminum disk with a small hole in its center.

Fig. 3
Fig. 3

Air-flow pattern around a free rotating disk.

Fig. 4
Fig. 4

Torque on a free rotating disk in the air as a function of for various rotational or peripheral speeds.

Fig. 5
Fig. 5

Chopper built at Electronics Laboratory.

Equations (7)

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σ r = [ ( 3 + μ ) / 8 ] ρ ω 2 [ b 2 + a 2 - ( a 2 b 2 / r 2 ) - r 2 ] ,
σ t = [ ( 3 + μ ) / 8 ] ρ ω 2 { b 2 + a 2 + ( a 2 b 2 / r 2 ) - [ ( 1 + 3 μ ) / ( 3 + μ ) ] r 2 } .
2 M = 1.935 ρ ω 2 R 5 ( ν / ω R 2 ) 1 / 2             [ laminar ] ,
2 M = 0.073 ρ ω 2 R 5 ( ν / ω R 2 ) 1 / 5             [ turbulent ] .
δ ~ ( ν / ω ) 1 / 2             [ laminar ] ,
δ = 0.526 r ( ν / r 2 ω ) 1 / 5             [ turbulent ] .
D = C D ( ρ / 2 ) V 2 A .

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