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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
V.Z. Vlasov, Thin-walled elastic beams. (Published for the National Science Foundation, Washington, 1961)
S.P. Timoshenko, Vibration problems in engineering. (Van Nostrand, New York, 1928)
A.L. Gol’denveizer, To the theory of thin-walled beams (in Russian). Prikl. Mat. Mekh. 13, 561–596 (1949)
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)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Yury A. Rossikhin
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-642-20969-7_1
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-20968-0
Online ISBN: 978-3-642-20969-7
eBook Packages: EngineeringEngineering (R0)