Email this article Korn Inequality for a Thin Periodic Corrugated Beam
- Authors: Leugering G.1, Nazarov S.A.2,3,4, Slutskii A.S.2,4
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Affiliations:
- Friedrich-Alexander-Universität Erlangen-Nürnberg
- Saint-Petersburg State University
- Peter the Great Saint-Petersburg State Polytechnical University
- Institute of Problems of Mechanical Engineering RAS
- Issue: Vol 226, No 4 (2017)
- Pages: 375-387
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239991
- DOI: https://doi.org/10.1007/s10958-017-3540-z
- ID: 239991
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Abstract
We obtain the asymptotically exact weighted Korn inequality for a thin (of thickness δh) periodically corrugated (with step δ) beam clamped at its ends. The constant in the inequality is independent of both small parameters δ and h, but the distribution of weighted factors under longitudinal and transverse displacements essentially differs from the optimal one in the case of a straight beam.
About the authors
G. Leugering
Friedrich-Alexander-Universität Erlangen-Nürnberg
Email: a.slutsky@spbu.ru
Germany, 4, Schlossplatz, Erlangen, 91054
S. A. Nazarov
Saint-Petersburg State University; Peter the Great Saint-Petersburg State Polytechnical University; Institute of Problems of Mechanical Engineering RAS
Email: a.slutsky@spbu.ru
Russian Federation, 7-9, Universitetskaya nab., St. Petersburg, 199034; 29, Polytechnicheskaya ul., St. Petersburg, 195251; 61, V.O., Bolshoj pr., St. Petersburg, 199178
A. S. Slutskii
Saint-Petersburg State University; Institute of Problems of Mechanical Engineering RAS
Author for correspondence.
Email: a.slutsky@spbu.ru
Russian Federation, 7-9, Universitetskaya nab., St. Petersburg, 199034; 61, V.O., Bolshoj pr., St. Petersburg, 199178
