Vibrations of Elastic Strings: Mathematical Aspects, Part One |
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Authors: | L. A. Medeiros J. Limaco S. B. Menezes |
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Affiliation: | (1) Instituto de Matemática UFRJ, Rio de Janeiro, RJ, Brasil. E-mail;(2) Instituto de Matemática UFF, Niterói, RJ, Brasil;(3) Departamento de Matemática, UFPA, Belém, PA, Brasil |
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Abstract: | This paper is divided into two parts. Part One Chapter 1 contains the deduction of the model for vertical vibrations of elastic strings with moving ends and its relations to the models of d'Alembert and Kirchhoff-Carrier. Chapter 2 contains the results of investigations related to Kirchhoff-Carrier model during the last twenty years and an almost complete bibliography.Part Two Chapter 3 of the paper is dedicated to the model with moving ends. It contains new results obtained by the authors during the last five years. |
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Keywords: | Elastic strings moving ends Kirchhoff-Carrier |
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