Abstract
To give a fatigue life prediction for problems with bimodal stress power spectral density which is commonly observed in the dynamic response of structures, the bimodal triangular model is established first and a large sum of bimodal stress power spectral densities with different characteristics are built. Then the error analysis of the fatigue life prediction results of bimodal stress power spectral densities with different shapes are calculated by the stress power spectral density method with zero-order moment (SPSD0) and the classical frequency-domain fatigue life prediction method, which is under single frequency band process and broadband process. The simulation results show that, for single frequency band process or broadband process being divided into appropriate segments, the fatigue damage is not sensitive to the real curve shape of bimodal stress power spectral density.
Highlights
Fatigue damage to a structure has always been one of the most important damage factors in engineering [1,2,3]
Compared with the classical frequency-domain fatigue life prediction method, SPSD0 has its unique advantages: it is only necessary to know the zero-order moment of the stress power spectral density in each frequency band, in other words, without knowing the specific stress power spectral density the fatigue life prediction can be performed
It is proved that for narrow-band processes or broadband processes that are divided into appropriate segments, it is only necessary to know the zero-order moment of the stress power spectral density to predict the fatigue life
Summary
Fatigue damage to a structure has always been one of the most important damage factors in engineering [1,2,3]. The fatigue life prediction and reliability prediction of the structure under random load is important. The bimodal stress power spectral density is a very typical form of the structural dynamic response. Through a large number of numerical simulations, Wang [6] found that fatigue analysis using the stress root mean square value of each frequency band usually has high engineering accuracy, based on the proposed SPSD0. He did not analyze the representative bimodal stress power spectral density.
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