A new method is presented for the analysis and utilization of linear and nonlinear response data obtained from structural elements under conditions of acoustical loading. It is found that due to phase angle differences, the significance of resonance response lies in the amplification of bending stresses, regardless of secondary tension forces induced at the constraints. Comparisons are presented with values so calculated. Correlation of an equivalent linear system possessing the theoretical amplification factor with a nonlinear system of known behavior (determined by tests) is demonstrated. This correlation is also useful in transforming sinusoidal test data to random response, thereby rendering a better application of the cumulative damage rule in sonic‐fatigue expectancy calculations for aerospace‐vehicle structures.