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Avtomatika i Telemekhanika, 2009, Issue 4, Pages 78–88 (Mi at452)  
This article is cited in 19 scientific papers (total in 19 papers)

Systems with Lumped Parameters

Solution to Euler's elastic problem

A. A. Ardentov, Yu. L. Sachkov

Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalesskii, Russia
Full-text PDF (751 kB) Citations (19)
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Abstract: Euler's problem on stationary configurations of elastic rod with fixed endpoints and tangents at the endpoints is considered. The corresponding optimal control problem is reduced to several systems of algebraic equations in Jacobi's functions. An algorithm and software for solving the optimal control problem are constructed.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 01.10.2008
English version:
Automation and Remote Control, 2009, Volume 70, Issue 4, Pages 633–643
DOI: https://doi.org/10.1134/S0005117909040092
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: A. A. Ardentov, Yu. L. Sachkov, “Solution to Euler's elastic problem”, Avtomat. i Telemekh., 2009, no. 4, 78–88; Autom. Remote Control, 70:4 (2009), 633–643
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:74
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