The Development of a High Acceleration Testing Technique for the Electronic Instrumentation of Harp Projectile Systems

Marks, Spence T.; Pilcher, James O.; Brandon, Fred J.

doi:10.21236/ad0635782

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“…(2) is amenable to an analytic asymptotic treatment described by Struble. 5 It is assumed that the solution can be expressed as a series expansion in terms of the small parameter e, <p = 6) ... (3) where A 0 fi,Ai,A%,A$ are treated as variables. The technique combines the use of variation of parameters as well as a perturbation method with the expansion in terms of e. The process begins by substituting Eq.…”

Section: Discussionmentioning

confidence: 99%

High-g resistant electronic fuse for projectile payloads

Mermagen¹

1971

Journal of Spacecraft and Rockets

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Fig. 3 Comparison of results for cases 2 and 4. mass ratio. To show this analytically, write Eq. (14) as [( §-:)(£)Now for large values of (m2/Wi), the unity term on the lefthand side and the entire right-hand side of the equation are negligible. Solving for the pressure ratio from the remaining equation yields Pf/Pn = (C P 2/C v^( T, i /T ll )(M l /M,)(m,/m l }Not only is this a linear relation, but it is the identical relation found for case 2.If the barrier in case 4 were removed, the end state would be the same as that of case 2, assuming that the initial conditions were the same in both cases. Thus, the change in pressure in going from the end state of case 4 to the end state of case 2 can be associated with the mixing. In this manner the change in pressure due to charging and that accompanying mixing can be separated and the latter evaluated. A plot of the change in pressure accompanying mixing is given in dimensionless form in Fig. 3. Interest in results such as these provided the initial stimulus for this investigation.It is of interest to examine the four special situations discussed in the section on case 1. These are a) two gases are the same and T^/Tu = 1; b) two gases are the same and TK/TU 5* 1; c) two gases are different and T^/Tu = 1; and d) two gases are different and T^/Tu ^ 1.It was found in case 1 that only (d) yielded a change in pressure upon mixing. Now examine these four situations with regard to the pressure change associated with mixing in the charging arrangement, i.e., that in going from the end state of case 4 to the end state of case 2.For situation (a), Eq. (13) yields P f /Pn = 1 + (C p /C,)(m 2 / mi), whereas Eq. (15) yields the same result. Thus, the change in pressure accompanying the removal of the barrier thereby going from the final state of case 4 to the final stage of case 2 would be zero. Now examine situation (b). Equation (13) becomes =-i + This result is also found by use of Eq. (15). Thus, if the two gases are the same, there will be no pressure change associated with the mixing regardless of the initial temperatures. In general, there will be a pressure change accompanying the mixing process for situations (c) and (d).

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Section: Discussionmentioning

confidence: 99%

High-g resistant electronic fuse for projectile payloads

Mermagen¹

1971

Journal of Spacecraft and Rockets

View full text Add to dashboard Cite

show abstract

The Development of a High Acceleration Testing Technique for the Electronic Instrumentation of Harp Projectile Systems

Cited by 1 publication

References 1 publication

High-g resistant electronic fuse for projectile payloads

High-g resistant electronic fuse for projectile payloads

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