Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 2001; Revised April 2002. Associate Editor: B. Yang.

Vibrations can be described as a linear combination of the modes of a structure 1. An alternative is to describe vibrations as propagating waves travelling in the structure. It was found that the two descriptions often give enlightening complementary perspectives 2,3.

Wave control can be feedforward 4. It can also be feedback. There exist two types of feedback wave control, namely the noncollocated and the collocated feedback wave control.

Longitudinally vibrating rod (or equivalently, transversely vibrating string) is studied in this Technical Brief. Though the classical modal approach can be used to analyze and control the vibrations in such structures 1,5, a spillover problem exists due to modal truncation dictated by the...

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