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Dynamic Response of Pre-Stressed Spatially Curved Thin-Walled Beams of Open Profile

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  • © 2011

Overview

Authors:
  1. Yury A. Rossikhin

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

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  2. Marina V. Shitikova

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

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    You can also search for this author in PubMed   Google Scholar

  • Analyses the dynamic stability with respect to small perturbations
  • Examines the local damage of geometrically nonlinear elastic, spatially curved, open section beams with axial precompression

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Introduction

    • Yury A. Rossikhin, Marina V. Shitikova
    Pages 1-2

  3. Engineering Theories of Thin-Walled Beams of Open Section

    • Yury A. Rossikhin, Marina V. Shitikova
    Pages 3-17

  4. Transient Dynamics of Pre-Stressed Spatially Curved Thin-Walled Beams of Open Profile

    • Yury A. Rossikhin, Marina V. Shitikova
    Pages 19-54

  5. Impact Response of Thin-Walled Beams of Open Profile

    • Yury A. Rossikhin, Marina V. Shitikova
    Pages 55-76

  6. Conclusion

    • Yury A. Rossikhin, Marina V. Shitikova
    Pages 77-79

  7. Peculiarities of Transient Wave Propagation in Thin-Walled Beams of Open Section

    • Yury A. Rossikhin, Marina V. Shitikova
    Pages 81-86
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Keywords

About this book

This short book analyses the dynamic stability with respect to small perturbations, as well as the local damage of geometrically nonlinear elastic, spatially curved, open section beams with axial precompression. Transient waves, which are the surfaces of strong discontinuity and wherein the stress and strain fields experience discontinuities, are used as small perturbations; in so doing the discontinuities are considered to be of small magnitude. Such waves are initiated during low-velocity impacts upon thin-walled beams. The theory of discontinuities and the method of ray expansions which allow one to find the desired fields behind the fronts of the transient waves in terms of discontinuities in time-derivatives of the values to be found, are used as the methods of solution for short-time dynamic processes. The example of using the ray expansions for analyzing the impact response of spatially curved thin-walled beams of open profile is demonstrated by solving the problem about the normal impact of an elastic hemispherical-nosed rod upon an elastic arch representing itself a channel-beam curved along an arc of the circumference. The influence of the initial stresses on the dynamic fields has been investigated.

Authors and Affiliations

  • Architecture and Civil Engineering, Research Center of Wave Dynamics, Voronezh State University of, Voronezh, Russian Federation

    Yury A. Rossikhin, Marina V. Shitikova

Bibliographic Information

  • Book Title: Dynamic Response of Pre-Stressed Spatially Curved Thin-Walled Beams of Open Profile

  • Authors: Yury A. Rossikhin, Marina V. Shitikova

  • Series Title: SpringerBriefs in Applied Sciences and Technology

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

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE, part of Springer Nature 2011

  • Softcover ISBN: 978-3-642-20968-0Published: 21 July 2011

  • eBook ISBN: 978-3-642-20969-7Published: 21 July 2011

  • Series ISSN: 2191-530X

  • Series E-ISSN: 2191-5318

  • Edition Number: 1

  • Number of Pages: VIII, 86

  • Number of Illustrations: 11 b/w illustrations

  • Topics: Solid Mechanics, Computational Science and Engineering, Classical Mechanics, Civil Engineering

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