Sensitivity of the statistical energy analysis for automotive vehicles

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Sensitivity of the statistical energy analysis for automotive vehicles

Xian Li Huang / Radcliffe, C.J.

Statistical Energy Analysis (SEA) was initially developed in the 1960's for accurately predicting sound and vibration levels in structures and interior spaces. SEA is an effective design tool for automobile structures and interior spaces above 500 Hertz where the modal density is high enough to allow averaging over many resonant modes. The automotive design methodology discussed here allows quantitative prediction of vehicle sound and acceleration response sensitivity to variations in vehicle design physical specification parameters. SEA sensitivity analysis in automotive vehicle design relates the variability of SEA sound pressure and structural acceleration predictions to variability of automotive vehicle physical parameters. The coefficient matrix of the linear algebraic SEA equations is shown to be both diagonally dominant and positive definite. These properties contribute to strictly positive coefficients in the solution to the SEA equations and yield strict qualitative and quantitative properties for SEA response sensitivities. The paper includes an illustrative example of sensitivity analysis for structural and acoustic responses of a simple automotive SEA vehicle model.