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Remarks on a problem of subharmonics

In: Selected Papers of Demetrios G. Magiros

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  • Dem. G. Magiros

Abstract

This paper is a supplement of the author’s previous paper under the title: “Subharmonics of order one third in the case of cubic restoring force”, contained in this volume as the author’s second work on subharmonics and called in the following “paper B”, and its previous “paper A”. In the first chapter we discuss the conditions under which the basic equation (1) of the “paper B” accepts the harmonic solution $$\left( { - \frac{B}{8}\sin 3\tau } \right)$$ as a stable one, the subharmonic term of the solution being zero. In the second chapter the “in verse problem” of that of the “paper B” is discussed. This “in verse problem”, so simple from a mathematical point of view, according to the equations found, seems to be of importance from an engineering point of view.

Suggested Citation

  • Dem. G. Magiros, 1985. "Remarks on a problem of subharmonics," Springer Books, in: S. G. Tzafestas (ed.), Selected Papers of Demetrios G. Magiros, chapter 14, pages 212-215, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-5368-0_14
    DOI: 10.1007/978-94-009-5368-0_14
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