The work aims to obtain the ARS(acceleration response spectrum)of random vibration and then to improve the analysis accuracy of the equivalence between random vibration and shock test.Firstly,the universal expression of the accelera-tion response RMS(root-mean-square)value of a single DOF(degree-of-freedom)vibration system under the action of random vibration base excitation was achieved according to the Wiener-Khintchine theorem.Secondly,the acceleration response RMS value of the single DOF vibration system under the action of both white noise and random vibration with band-limited and non-uniform PSD(power spectral density)was deduced respectively.Thirdly,the 3σ ARS of random vibration with band-limited and non-uniform PSD was established on the basis of the 3σ guidelines.Lastly,in view of the equivalence of ac-celeration response,the cutting conditions for shock test were optimized through comparing the 3σ ARS of equipment random vibration test conditions with the SRS(shock response spectrum)of equipment shock test conditions.The analysis results of three examples indicated that the application accuracy in engineering of the cutting conditions for shock test was improved after optimization.In summary,the 3σ ARS of random vibration with band-limited and non-uniform PSD is established in this work,and then the cutting conditions for shock test in GJB 150.18A-2009 are optimized on account of the equivalence of acceleration response.It provides references for more reasonably cutting the shock test for equipment.
random vibrationWiener-Khinchine theoremacceleration response spectrumband-limited and non-uniform PSDshock response spectrumshock test
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