https://scholars.lib.ntu.edu.tw/handle/123456789/60737
Title: | On the Internal Resonance of a Spinning Disk Under Space-Fixed Pulsating Edge Loads | Authors: | Chen, Jen-San | Issue Date: | 2001 | Journal Volume: | 68 | Journal Issue: | 6 | Start page/Pages: | 854-859 | Source: | ASME Journal of Applied Mechanics | Abstract: | Internal resonance between a pair of forward and backward modes of a spinning disk under space-fixed pulsating edge loads is investigated by means of multiple scale method. It is found that internal resonance can occur only at certain rotation speeds at which the natural frequency of the forward mode is close to three times the natural frequency of the backward mode and the excitation frequency is close to twice the frequency of the backward mode. For a light damping case the trivial solution can lose stability via both pitchfork as well as Hopf bifurcations when frequency detuning of the edge load is varied. On the other hand, nontrivial solutions experience both saddle-node and Hopf bifurcations. When the damping is increased, the Hopf bifurcations along the trivial solution path disappear. Furthermore, there exists a certain value of damping beyond which no nontrivial solution is possible. Single-mode resonance is also briefly discussed for comparison. Copyright © 2001 by ASME. |
URI: | http://ntur.lib.ntu.edu.tw//handle/246246/85590 https://www.scopus.com/inward/record.uri?eid=2-s2.0-33746029044&doi=10.1115%2f1.1408616&partnerID=40&md5=8f656dceada515a3ce3863fdaabe63b3 |
ISSN: | 00218936 |
Appears in Collections: | 機械工程學系 |
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