Nonlinear Forced Oscillations of a String : 1st Report, Two Types of Responses Near the Second Primary Resonance Point

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概要

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• Nonlinear dynamic response of a string subjected to periodic excitation will differ qualitatively from the usual harmonic response, because the natural frequencies of a string are in the ratio of integers. To demonstrate that the string in fact responds unusually, a typical case is taken up and a theoretical analysis is conducted. The case taken up here is the response near the second primary resonance point. The theoretical analysis shows that, in addition to the usual harmonic oscillation, two other types of oscillations can occur. One is an oscillation that contains, as its principal components, the subharmonic oscillations of orders 1/2 and 3/2, and the other the so-called summed ant differential harmonic oscillation. The conditions under which these types of oscillations occur are obtained, and the characters of the oscillations are discussed. Experimental analysis is also conducted with use of a thin steel strip. The occurrence of the above two types of oscillations is ascertained experimentally, and the validity of the theoretical analysis is confirmed.

• 一般社団法人日本機械学会の論文

著者

• Yasuda Kimihiko

  School Of Engineering Nagoya University

• Torii Takao

  School Of Engineering Nagoya University

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