Stress and Fatigue Cumulative Damage Index Response Spectra
摘要
This paper addresses systems and components subjected to dynamic environments where stress response is the key metric for engineering evaluation. It presents a method for converting shock and vibration response spectra into stress response spectra, along with an approach for extending relative fatigue damage spectra into stress-based cumulative damage indices. The conversion uses the stress–velocity method recommended by Hunt, Chalmers, Gaberson, and Piersol. The method accounts for modal participation factors and mass-normalized eigenvector coefficients, whose product defines the modal gain factor. An approximate estimate of maximum global stress or fatigue damage is also provided as a function of natural frequency and amplification factor. This approach is useful for preliminary design assessments, determining when detailed dynamic finite element analysis (FEA) is required, and serving as a hand-calculation check on FEA-based dynamic stress results.