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Space Grant Consortium - University of Wisconsin - Green Bay

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B. Attenuation and Uncertainty<br />

Shock attenuates when it propagates through a material. Attenuation, the<br />

reduction <strong>of</strong> shock, is critical in calculating the peak levels <strong>of</strong> shock that a particular<br />

piece <strong>of</strong> a larger structure will be exposed to. Attenuation analysis <strong>of</strong> shock is based on<br />

the length <strong>of</strong> the dispersion path through the structure and the number and types <strong>of</strong><br />

structural joints in that structure. According to a NASA Technical Standards for Pyro-<br />

Shock Requirements Document (RD 23) there is a reduction in shock magnitudes in the<br />

realm <strong>of</strong> 20 to 75 percent from propagation through structural joints. This percentage<br />

range depends on the material <strong>of</strong> the joint and structure, and the path <strong>of</strong> transmission<br />

through the joint. This shows the uncertainty in quantifying shock, creating large<br />

margins between acceptance and qualification SRS.<br />

C. Methods to Assess Shock<br />

There are general methods <strong>of</strong> assessing the risk <strong>of</strong> damage from shock. Coverage<br />

<strong>of</strong> shock using random vibration loads and the two methods for structural and electrical<br />

components from the ESA Shock Handbook are widely accepted. The 0.8f rule for<br />

structural components is a simple comparison <strong>of</strong> a 0.8 sloped limit line, with respect to<br />

frequency, where structures are not at risk if their SRS lie below the limit. The<br />

6db/octave rule for electronics shares a similar concept, except it has a smaller slope <strong>of</strong><br />

6db/octave and tops out at 500g for 2 kHz. The other method <strong>of</strong> assessing shock allows<br />

one to compare the shock specification to random vibration. This is the most accepted<br />

method among the space community. This approach converts random vibration loads<br />

into a random response spectrum or RRS that can be compared to a SRS. This is done<br />

with the Miles formula, which is a simplified approximation <strong>of</strong> an RRS. The equation<br />

uses Q; an amplification factor which is typically 10 or 25, fo; the frequency at which the<br />

acceleration is calculated and W (fo); the value in g 2 /Hz <strong>of</strong> the Power Spectral Density<br />

(PSD or random specification) at the frequency fo in the calculations. Shock will not be<br />

an issue if the RRS covers the SRS levels. By using the formula below, the frequency<br />

values for random vibration loads and the corresponding PSD, RRS can be compared to<br />

SRS to asses shock and determine if direct testing is needed.<br />

RRSMiles (fo) = 3 x SQRT [π/2 * Q * fo * W (fo)]<br />

The James Webb <strong>Space</strong> Telescope Detectors<br />

JWST uses new detectors that are top <strong>of</strong> the line with very low noise and darkcurrent,<br />

and high quantum efficiency. These qualities measure the precision, accuracy<br />

and reliability <strong>of</strong> detectors, respectively. There are a total <strong>of</strong> 18 infrared detectors<br />

between the four instruments. Of these, 15 are HAWAII 2RG detector arrays from<br />

Teledyne Imaging Sensors and the other three are SB-375 Si:As detector arrays from<br />

Raytheon. HAWAII is an acronym for HgCdTe Astronomical Wide Area Infrared<br />

Imager and 2RG denotes the size (2048x2028 pixel), and that the array has reference and<br />

guidance pixels included. H2RG detectors are used in the Near-Infrared Camera<br />

60

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