Abstract
A nonlinear Building Block Approach, abbreviated as NLBBA, was developed to evaluate the frequency response characteristic of the structures with nonlinearity, like hard springs, clearance and others, which are general in the actual system. The method presented in the previous paper to evaluate the frequency response function for the nonlinear multi-degrees-of-freedom system was combined with the linear BBA. The method made it possible to evaluate the frequency response function by simplifying the complicated actual nonlinear system. The effectiveness of the method was verified by the analysis of a beam supported by nonlinear springs. The comparison with the time historical analysis showed that using the proposed method is possible to save the computation time by about 1/3000 that of the conventional method. The method was also applied to the dynamic behavior of the main spindle of a machine tool. A clearance of 1 micron meter between the shaft and bearing which is empirically known in practice was introduced. The characteristics obtained by the analysis showed good agreement with that by experience.
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