Nonlinear standing waves in a resonator with feedback control |
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Authors: | Huang X Y Nguyen N T Jiao Z J |
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Affiliation: | School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore, Singapore. mxhuang@ntu.edu.sg |
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Abstract: | An experimental study is presented to demonstrate that nonlinear effect on standing waves in a resonator can be reduced by a feedback loop responding to the second harmonic. The resonator was a cylindrical tube sealed at one end and driven by a horn driver unit at another end. The feedback control loop consisted of a pressure sensor, a frequency filter, a phase shifter, and an actuator. The results show that the waveform distortions can be eliminated and large amplitude sinusoidal pressure oscillations are obtained. A simple model is proposed for a qualitative discussion on the control mechanism, which shows that the feedback loop alters the imaginary part of the complex mode frequency so as to suppress (or enhance) the second harmonic. |
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