Abstract
The dynamic problems of beams whose lengths change with time in longitudinal direction are often found in industrial manipulator systems. However, characteristic matrices of such system depend on time and the dynamic response analysis becomes very complex. Some works on such problems have been done for stringsre(1)-(4), But there are not so many about the dynamic response analysis for beams with time-dependent changes of their lengths(5)-(8). Though dynamic unstability may possible occur in such problems and be significant in practical problems but it has not been studied fully yet. Then the aim of this study is to present a convenient and effective dynamic response analysis method for such moving beams with time-dependent change of their lengths by making use of the developed method of dynamic analysis in our previous works for vibrating beams with longitudinal mass flow and to examine the dynamic behaviors through numerical examples by the method. Comparisions of the results by the proposed method with exprimental results done by us and with ones in other typical analytical study are made to confirm the validity and effectiveness of the method.
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