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

  • Yury A. Rossikhin
  • Marina V. Shitikova

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

Table of contents

  1. Front Matter
    Pages i-viii
  2. Yury A. Rossikhin, Marina V. Shitikova
    Pages 1-2
  3. Yury A. Rossikhin, Marina V. Shitikova
    Pages 3-17
  4. Yury A. Rossikhin, Marina V. Shitikova
    Pages 55-76
  5. Yury A. Rossikhin, Marina V. Shitikova
    Pages 77-79

About this book

Introduction

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.

Keywords

axial precompression elastic arch elastic hemispherical-nosed rod impact response method of ray expansions strain fields stress fields the local damage transient waves upon thin-walled beams

Authors and affiliations

  • Yury A. Rossikhin
    • 1
  • Marina V. Shitikova
    • 2
  1. 1.Architecture and Civil Engineering, Research Center of Wave DynamicsVoronezh State University ofVoronezhRussian Federation
  2. 2.Architecture and Civil Engineering, Research Center of Wave DynamicsVoronezh State University ofVoronezhRussian Federation

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-20969-7
  • Copyright Information Yury A. Rossikhin 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-20968-0
  • Online ISBN 978-3-642-20969-7
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • About this book
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