【摘 要】
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The free non-linear vibration of axially moving, elastic, and tensioned beams on fixedsupports is investigated in this paper. Two types of non-linearity, namely
【出 处】
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Acta Mechanica Solida Sinica
论文部分内容阅读
The free non-linear vibration of axially moving, elastic, and tensioned beams on fixedsupports is investigated in this paper. Two types of non-linearity, namely, the differential typeand integro-differential type, are analyzed. Approximate solutions are sought using the method ofmultiple scales. The contribution of non-linearity to the response increases with the axial speed,and grows most rapidly near the critical speed. It has been found that the differential type non-linearity is stronger than the integro-differential type non-linearity by analyzing the non-lineareffects on natural frequencies.
The free non-linear vibration of axial moving, elastic, and tensioned beams on fixed supports is investigated in this paper. Both types of non-linearity, namely, differential type and integro-differential type, are analyzed using this method ofmultiple scales. The contribution of non-linearity to the response increases with the axial speed, and grows most rapidly near the critical speed. It has been found that the differential type non-linearity is stronger than the integro-differential type non-linearity by analyzing the non-lineareffects on natural frequencies.
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