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2018 | OriginalPaper | Chapter

10. Characterisation and Synthesis of Random Acceleration Vibration Specifications

Author : Jaap Wijker

Published in: Miles' Equation in Random Vibrations

Publisher: Springer International Publishing

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Abstract

A number of damage spectra to characterise measured or computed random acceleration vibration spectra are discussed in this chapter. The characterisation is based on equivalent damage caused by extreme peaks (SRS, ERS, VRS) and Rayleigh distribution of peaks or cumulative damage (FDS), using relative displacements and pseudo-velocities. The response spectra are all based on the response of single degree of freedom (SDOF) systems exited to random accelerations, both in the time and frequency domain. The principles to compute the response spectra are illustrated and discussed. One general practical example is discussed in very detail. Miles’ equation fulfills a key role in the synthesis process to generate equivalent random acceleration vibration specifications. An envelope of the damage response spectrum is achieved by dividing the spectrum into a number of fields or regions. The lower the number of field more severe and smoother equivalent random acceleration vibration specification is obtained.

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Appendix
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Footnotes
1
This problem is based on a course about response spectra given by www.​vibrationdata.​com.
 
Literature
1.
Girard A, Imbert JF, Moreau D (1989) Derivation of european satellite equipment test specification from vibro-acoustic test data. Acta Astronaut 10(10):797–803CrossRef
2.
Wijker JJ, Ellenbroek MHM, de Boer A (2013) Characterization and synthesis of random acceleration vibration specifications. In: Papadrakakis MM, Lagaros ND, Plevris V (eds) COMPDYN 2013, 4th ECCOMAS thematic conference on computational methods in structural dynamics and earthquake engineering, 12–14 June, Kos Island, Greece
3.
Kelly RD, Richman G (1969) Principles and techniques of shock data analysis. SVM. The Shock and Vibration Information Center, US, MOD
4.
Lalanne C (2002) Mechanical vibration and shock, specification development, vol V. HPS. ISBN 1-9039-9607-4
5.
Irvine T (2009) An introduction to the vibration response spectrum, revision d. Vibrationdata, 16 June 2009
6.
DiMaggio SJ, Sako BH, Rubin S (2003) Analysis of non-stationary vibroacoustic flight data using a damage-potential basis. J Spacecr Rocket 40(5):682–689
7.
McNeill SI (2008) Implementing the fatigue damage spectrum and fatigue equivalent vibration testing. In: Sound and vibration, 79th shock and vibration symposium shock and vibration symposium, Orlando, Florida, 26–30 October 2008
8.
Wirsching PH, Paez TL, Ortiz H (1995) Random vibrations, theory and practice. Wiley, New York. ISBN 0-471-58579-3
9.
Miles JW (1954) On structural fatigue under random loading. J Aeronaut Sci 21(11):753–762CrossRefMATH
10.
Biot MA (1933) Theory of elastic systems vibrating under transient impulse with an application to eartquake-proof buildings. Proc Natl Acad Sci 19(2):261–268CrossRef
11.
Biot MA (1941) A mechanical analyzer for the prediction of earthquake stresses. Bull Seismol Soc Am 31(2):150–171
12.
Wijker JJ (2008) Spacecraft structures. Springer, Berlin. ISBN 978-3-540-755524
13.
Smallwood DO (1981) An improved recursive formula for calculating shock response spectra. Shock Vib Bull 51:4–10
14.
Ahlin K (2006) Comparison of test specifications and measured field data. Sound Vib 40:22–24
15.
Tu̇ma J, Koči P (2009) Calculation of shock response spectrum. In: Colloqium, 2–4 February 2009
16.
Halfpenny A, Walton TC (2010) New techniques for vibration qualification of vibrating equipment on aircraft. Aircraft airworthiness & sustainment
17.
Ochi MK (1981) Principles of extreme values statistics and their application,. In: Extreme loads response analysis symposium, pp 15–30. The societvof naval architectsand marine engineers One WorldTradeCenter, Suite1369, New York, N.Y.10048, 19–20 October 1981
18.
19.
Halfpenny A (2006) Methods for accelerating dynamic durability tests. In: 9th international conference recent advances in structural dynamics, Southampton, UK
20.
Benasciutti D (2004) Fatigue analysis of random loadings. PhD thesis, University of Ferrara, Department of Engineering
21.
Eaton R, Caro E (2012) Test tailoring methodology for equipment qualification. In: 2012 spacecraft and launch vehicle dynamic environments workshop, 19–21 June, El Segundo, CA, USA
22.
Irvine T (2012) An alternate damage potential method for enveloping nonstationary random vibration. In: Spacecraft and launch vehicle dynamic environments workshop, p 28, El Segundo, CA, USA, 19–21 June 2012
23.
Wijker JJ (2009) Random vibrations in spacecraft structures design, theory and applications. Number SMIA 165 in solid mechanics and its applications. Springer, Berlin. ISBN 978-90-481-2727-6
24.
Dunham W (1999) Euler the master of us all. Number 22 in The Dolciani mathematical expositions. The Mathematical Society of America. ISBN 0-88385-328-0
25.
Henderson GR, Piersol AG (2003) Evaluating vibration environments using the shock response spectrum. Sound Vib 37:18–20
26.
Lalanne C (2002) Mechanical vibration nd shock, fatigue damage, vol IV. HPS. ISBN 1-9039-9606-6
27.
Madayag AF (1969) Metal fatigue: theory and design. Wiley, New York. ISBN 471-56315-3
28.
Crandall SH, Mark WD (1973) Random vibration in mechanical systems. Academic Press
29.
Amzallag C, Geray JP, Robert J, Bahuaud JL (1994) Standardization of rain flow counting method for fatigue analysis. Fatigue, 16:287–293
30.
Nieslony A (2009) Implementing the fatigue damage spectrum and fatigue equivalent vibration testing. Mech Syst Signal Process 23(8):2712–2721CrossRef
31.
Crandall SH (1962) Relation between strain and velocity in resonant vibration. J Acoust Soc Am 34(12):160–1961
32.
Irvine T (2012) Shock and vibration stress as a function of velocity, Vibrationdata, 21 May 2012
33.
Wijker JJ (2011) Vibro-acoustic analysis test methods for large deployable structures. Final presentation, ESA/TRP Study contract AO/1-5659/08/NL/EM, Noordwijk, 20 February 2011
34.
IABG (2012) Iabg, space division, survey of facilities. Technical report TN-TR-1000, Issue 12, IABG, May 2012
35.
Shinozuka M, Jan CM (1972) Digital simulation of random processes and its applications. J Sound Vib 25(1):111–128CrossRef
36.
37.
Steinwolf A, White RG (1997) Probability density functions of acoustically induced strains in experiments with composite plates. AIAA 35(12):1853–1861CrossRef
Metadata
Title
Characterisation and Synthesis of Random Acceleration Vibration Specifications
Author
Jaap Wijker
Copyright Year
2018
Book
Miles' Equation in Random Vibrations

Print ISBN: 978-3-319-73113-1

Electronic ISBN: 978-3-319-73114-8

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-73114-8_10

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