On the Oscillations of "Summed and Differential Types"under Parametric Excitation : Vibratory Systems with Damping

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概要

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• In vibratory systems having multiple degrees-of-freedom and under parametric excitation of frequency ω, oscillations of "summed and differential types"with frequencies ω_i (≒p_i), ω_j (≒p_j) take place when ω becomes nearly equal to sum of and difference between two natural frequencies p_i±p_j=p_<ij>, i.e., ω≒p_i±p_j, even if there is a damping force in the system. In the present paper, the characteristics of these kinds of oscillations are studied in detail, and it is shown that the magnitude of damping ratio has considerable influences on the characteristics of unstable oscillations, especially on unstable regions and negative damping coefficients, and that unstable oscillations can occur only in summed type and not in differential type.

• 一般社団法人日本機械学会の論文

著者

• Yamamoto Toshio

  Faculty Of Engineering Nagoya University

• Saito Akihiko

  Faculty Of Engineering Nagoya University

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