A method to establish the representative load spectrum for probability-reliability design of Numerical Control(NC) machine tools was proposed by considering multiple working conditions and multiple influence factors to improve its reliability essentially. Firstly
the ratio of feeding length to feed speed was set as fatigue loading cycles
the ratio of loading cycles to total loading cycles was set as relative loading cycles
and the ratio of working load to the specified load of machine tools as relative load. Then
the load distribution function of a relative load
vs
. relative loading cycles was established using statistical analysis. In view of the situation that the load data obeyed different distribution functions
a data envelopment analysis method in which multiple error information was taken as evaluation factors was proposed to determine the best distribution model. The application results show that load spectrum of NC machine tools can be accurately established using this method. The load data of tested NC machine tools follow the gamma distribution with
=0.37 and
=0.53. The load spectrum meets the requirements of probability-reliability design of NC machine tools.
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references
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