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Project Cyclops, A Design... - Department of Earth and Planetary ...

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i0 8<br />

one-third the 3 dB cut<strong>of</strong>f frequency due to surface<br />

tolerances, we can expect 7/>/0.8.<br />

MASS PRODUCTION SAVINGS<br />

Except for the VLA design (which involved small<br />

quantity production) the costs that were used in<br />

o<br />

-6<br />

"o<br />

o<br />

(/)<br />

0<br />

o<br />

IO<br />

T<br />

I0 6<br />

establishing the cost-versus-size relationship (9) were the<br />

material <strong>and</strong> labor costs for producing a single unit. With<br />

large volume production substantial reductions in the<br />

unit cost are to be expected. Two cases need to be<br />

considered: volume production <strong>of</strong> an existing design,<br />

<strong>and</strong> semiautomated production <strong>of</strong> a design adapted to<br />

mass production methods.<br />

When an existing design is produced in quantity at a<br />

constant rate, cost reductions can occur through<br />

// _ _L<br />

L_ J L • L L<br />

10 2 I0 3<br />

DIAMETER,<br />

Figure 8-6. Antenna cost versus diameter.<br />

$10 million. The foundation <strong>and</strong> the mechanical drive<br />

system (i.e., servos, gears, bearings) might add another<br />

$900,000 to bring the total material <strong>and</strong> purchased parts<br />

to around $1.5 million. This still leaves roughly $8.5<br />

million for the labor <strong>of</strong> fabrication, assembly, erection<br />

<strong>and</strong><br />

testing.<br />

Another reason for the low value <strong>of</strong> the exponent is<br />

the increased sophistication in design capability from the<br />

use <strong>of</strong> computers. It should be realized that the<br />

constancy <strong>of</strong> the exponent breaks down at some value <strong>of</strong><br />

diameter. It is obviously not as cheap on an area basis to<br />

make a 10 km diameter steerable dish as a 100-m<br />

diameter dish. However, we believe that the exponent<br />

remains constant through the sizes considered in this<br />

study.<br />

Based on equation (9) the total structural cost for an<br />

array will be simply<br />

where<br />

ea=<br />

R =<br />

r_ =<br />

fl<br />

R<br />

C = $1156da 2- (10)<br />

r/<br />

equivalent clear aperture diameter <strong>of</strong> the array<br />

cost reduction factor from mass production<br />

aperture efficiency <strong>of</strong> the elements.<br />

The efficiency r/is the product <strong>of</strong> the efficiency due to<br />

surface tolerances <strong>and</strong> the illumination efficiency. With<br />

careful feed horn design <strong>and</strong> for frequencies up to about<br />

1. Contract purchase <strong>of</strong> large volumes <strong>of</strong> materials<br />

2. Direct factory purchase with scheduled delivery <strong>of</strong><br />

prefabricated purchased parts<br />

3. Efficient layout <strong>of</strong> fabrication <strong>and</strong> assembly lines<br />

4. Efficient work scheduling <strong>and</strong> labor deployment<br />

5. Reduction <strong>of</strong> fabrication <strong>and</strong> assembly labor<br />

through tooling, jigs, <strong>and</strong> fixtures<br />

6. Reduction <strong>of</strong> fabrication <strong>and</strong> assembly time from<br />

accrued experience in doing each operation<br />

7. On-site production<br />

Contract purchases <strong>of</strong> materials could easily reduce the<br />

material costs by 10% while factory purchases <strong>of</strong><br />

prefabricated purchased parts (bearings, gears, servomotors,<br />

etc.) can save up to 40% for these items.<br />

Accurate estimates <strong>of</strong> labor cost reductions cannot be<br />

made without an exhaustive detailed study, or past<br />

experience. However, it is typical in a wide variety <strong>of</strong><br />

products for start-up costs (which represent initial<br />

production <strong>of</strong> one to several units) to exceed final costs<br />

(which represent steady-state experienced production)<br />

by 150% to 200% or more.<br />

When mass production is anticipated, additional savings<br />

are possible by:<br />

1. <strong>Design</strong>ing the structure to take advantage <strong>of</strong> well<br />

known low cost processes<br />

2. Integrating the design <strong>of</strong> the product <strong>and</strong> the<br />

factory to produce it<br />

3. Eliminating all selective assembly <strong>and</strong> h<strong>and</strong> adjustment<br />

through extensive tooling<br />

4. Replacing h<strong>and</strong> fabrication by stamping, die forming,<br />

die casting <strong>and</strong> other suitable processes<br />

5. Making widespread use <strong>of</strong> automated numerically<br />

controlled machines both for piece-part production<br />

<strong>and</strong> assembly<br />

6. Using automatically fabricated material-saving tapered<br />

structural sections<br />

83

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