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Acoustic and Random Vibration Test Tailoring

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Miles' Equation in Random Vibrations

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 248))

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Abstract

When developing a qualification test program for spacecraft, it is necessary to determine whether there should be an acoustic or random vibration test for each instrument, component, etc. The decision (key) factor is the area/mass ratio of an instrument, component, etc., which is very helpful to make a choice to perform either a random vibration on a shaker table or an acoustic test in a acoustic reverberant chamber. The calculation of the decision factor is completely based on random response analyses applying Miles’ equation.

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References

  1. Forgrave JC, Man KF, Newell JM (1998) Acoustic and random vibration test tailoring for low-cost missions. In: Proceedings institute of environmental science, Phoenix, AZ

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  2. Forgrave JC, Man KF, Newell JM (1998) Spacecraft acoustic and random vibration test optimization. Sound Vib 33(3):28–31

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  3. European Cooperation of Space Engineering, Noordwijk, the Netherlands. Space Engineering Testing, ECSS-E-ST-10-03C, 3rd edn, June 1st 2012

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Correspondence to Jaap Wijker .

Problems

Problems

6.1

A scientific instrument has a measured weight of 60 kg. The surplus of heat is radiated into outer space with the aid of an external radiator with total area of 0.75 m. The minimum required natural frequency of the instrument fixed at the spacecraft is \(f_n=100\) Hz. The random vibration specification is provided in Table 6.5.

Table 6.5 Spectral density of vibro-accelerations, DNEPR (logarithmic distribution)
  • Calculate the \(3\sigma \) design quasi-static acceleration with the aid of Miles’ equation (\(\mathrm{{Q}}=10\)).

  • Evaluate if a random vibration test or acoustic test is needed to verify design specifications.

  • The acoustic loads of the DNEPR launch vehicle are specified in Table 6.6. Verify if the key factor \(A/m=0.251\) is still applicable for \(f_n=100,200,300\) Hz.

Table 6.6 DNEPR acoustic loads

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Wijker, J. (2018). Acoustic and Random Vibration Test Tailoring. In: Miles' Equation in Random Vibrations. Solid Mechanics and Its Applications, vol 248. Springer, Cham. https://doi.org/10.1007/978-3-319-73114-8_6

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  • DOI: https://doi.org/10.1007/978-3-319-73114-8_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73113-1

  • Online ISBN: 978-3-319-73114-8

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