Abstract

Because fatigue is a typical dynamic phenomenon, a procedure is developed to estimate the lifetime of a structure, based on its dynamic characteristics. By means of modal analysis, a structure can be described by its modal parameters: mode shapes, natural frequencies, and damping values. Using a finite-element model, the modal stress-strain distribution of part of or an entire structure can be calculated. When the applied dynamic forces are known, combination of the modal strains yields the strain response of the structure. A stress-strain simulation controlled by Neuber's rule accounts for stress concentrations. A counting algorithm based on closed hysteresis loops divides the stress-strain history into single reversals. An appropriate damage rule is used to find the damage of one loading sequence. Finally, the lifetime is found from the number of loading sequences that can be applied to satisfy the failure criterion.

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