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On the Logarithmic Decrement of the Damped Oscillation of an Elastic Thin Beam
Author(s) -
Higuchi S.
Publication year - 1971
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19710510603
Subject(s) - logarithmic decrement , logarithm , oscillation (cell signaling) , beam (structure) , diagram , physics , natural frequency , value (mathematics) , mathematics , mathematical analysis , classical mechanics , optics , quantum mechanics , statistics , vibration , chemistry , biochemistry
The logarithmic decrement, frequency diagram obtained from the damped natural oscillation of the two ends supported elastic thin beam contains a maximum value in the range of somewhat low frequency. As is widely known, this phenomenon seems to us to be a pending problem of the theory of an elastic oscillation of the thin beam, because it is nothing but the problem of a mean to establish the law of inner resistance of solid bodies. In the investigation dealt with in this paper, the writer attempts to answer the following two questions:1 How is it possible to induce the analytical expression of the logarithmic decrement? 2 What has caused the extreme value in the logarithmic decrement, frequency diagram? .