Record link: 
http://hdl.handle.net/20.500.12708/29387
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Title: 
Stability and Supercritical Deformation of a Circular Ring with Intrinsic Curvature
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Citation: 
Vetyukov, Y. (2017). Stability and Supercritical Deformation of a Circular Ring with Intrinsic Curvature. In H. Irschik, A. K. Belyaev, & M. Krommer (Eds.), Dynamics and Control of Advanced Structures and Machines (pp. 23–32). Springer International Publishing. https://doi.org/10.1007/978-3-319-43080-5_3
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Publisher DOI: 
10.1007/978-3-319-43080-5_3
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Publication Type: 
Book Contribution - Edited Volume Contribution
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Authors: 
Vetyukov, Yury 
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Organisational Unit: 
E325-02 - Forschungsbereich Mechanik fester Körper 
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Published in: 
Dynamics and Control of Advanced Structures and Machines 
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ISBN: 
978-3-319-43080-5
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DOI of the book: 
10.1007/978-3-319-43080-5
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Date (published): 
2017
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Number of Pages: 
10
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Publisher: 
Springer, Cham
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Abstract: 
Stability of a circular ring, pre-stressed by a temperature-like intrinsic deformation, is studied using the equations of the nonlinear theory of rods. The temperature gradient in the radial direction results in a bending moment. The critical state depends on the ratio of the bending stiffness coefficients. In the supercritical range, the ring begins to turn inside out as its cross-sections rotate about the axis. The analytical solutions are successfully compared against results of finite element simulations for a shell model of the ring.
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Research Areas: 
Modelling and Simulation: 100%
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Science Branch: 
Maschinenbau
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Appears in Collections:
Book Contribution

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