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Pyrotechnic Shock Analysis Using Statistical Energy Analysis

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Technical Report

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MIT Lincoln Laboratory Lexington United States

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MIT Lincoln Laboratory MITLL has been developing a computational method to predict themaximum structural response due to a pyrotechnic shock input using Statistical Energy AnalysisSEA. It had been previously understood that since the pyrotechnic shock is not a steady stateevent, traditional SEA method may not applicable. A new analysis methodology effectivelyutilizes the traditional SEA modeling by employing an energy constraint using the ShockResponse Spectrum SRS as the steady state input condition. Responses are recovered in theSRS and can be used to develop pyrotechnic shock design and test requirements for varioussubsystems of the model. Response accelerations in the time domain corresponding to theresponse spectra are estimated using the Peak Ratio PR. The response waveform is obtainedusing the inverse transform of the product of the input acceleration and the transfer function ofthe SEA model. The most probable input acceleration may be obtained using the stochastic SRSdecomposition method. Response waveforms can be further refined based on phase perturbationsusing the wave numbers of the SEA subsystems. A couple of validation examples are provided todemonstrate the new approach.

Subject Categories:

  • Mechanics

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