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Dynamic Response of Pre-Stressed Spatially Curved Thin-Walled Beams of Open Profile pp 1–2Cite as

Introduction

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Part of the book series: SpringerBriefs in Applied Sciences and Technology ((BRIEFSAPPLSCIENCES))

Abstract

The Vlasov theory was elaborated more than 70-years ago for static analysis of straight thin-walled beams of open profile. However among a large body of sets of equations, which appeared during these years and which are intended to describe the dynamic response of thin-walled beams of open section, only a small percent fits the following simple requirements: hyperbolicity, and physical justification. At first glance it would seem that it is easy to match these requirements, but this is not the case. The authors of this book have suggested a special criterion which allows one to analyze quickly the sets of equations describing the dynamic behaviour of thin-walled beams of open profile, as well as to reveal their merits and demerits.

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References

  1. V.Z. Vlasov, Thin-walled elastic beams. (Published for the National Science Foundation, Washington, 1961)

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  2. S.P. Timoshenko, Vibration problems in engineering. (Van Nostrand, New York, 1928)

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  3. A.L. Gol’denveizer, To the theory of thin-walled beams (in Russian). Prikl. Mat. Mekh. 13, 561–596 (1949)

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  4. B.A. Korbut, V.I. Lazarev, Equations of flexural-torsional waves in thin-walled bars of open cross section. Int. Appl. Mech. 10, 640–644 (1974)

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Authors and Affiliations

  1. Research Center of Wave Dynamics, Voronezh State University of Architecture and Civil Engineering, Voronezh, Russia

    Yury A. Rossikhin & Marina V. Shitikova

Authors
  1. Yury A. Rossikhin
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  2. Marina V. Shitikova
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Correspondence to Yury A. Rossikhin .

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© 2011 Yury A. Rossikhin

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Rossikhin, Y.A., Shitikova, M.V. (2011). Introduction. In: Dynamic Response of Pre-Stressed Spatially Curved Thin-Walled Beams of Open Profile. SpringerBriefs in Applied Sciences and Technology(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20969-7_1

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  • DOI: https://doi.org/10.1007/978-3-642-20969-7_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20968-0

  • Online ISBN: 978-3-642-20969-7

  • eBook Packages: EngineeringEngineering (R0)

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