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The Stability Analysis of Periodic Beams Interacting with Periodic Elastic Foundation with the Use of the Tolerance Averaging Technique
- Source :
- Materials, Vol 14, Iss 5923, p 5923 (2021), Materials, Materials; Volume 14; Issue 20; Pages: 5923
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
Abstract
- In this paper a stability analysis of microperiodic beams resting on the periodic inhomogeneous foundation is carried out. The main issue of this considerations, which is the analytical solution to the governing equations characterised by periodic, highly oscillating and non-continuous coefficients, is overwhelmed by the application of the tolerance averaging technique. As a result of such application, the governing equation is transformed into a form with constant coefficients which can be solved using well-known mathematical methods. In several calculation examples, the convergence of the results of two derived averaged models is examined, as well as the convergence of the lowest value of the critical force parameter derived from the averaged models with the FEM model. The results prove the superiority of the presented analytical solution over the FEM analysis in the optimisation process.
- Subjects :
- Constant coefficients
Technology
Governing equation
stability analysis
Stability (probability)
Article
Convergence (routing)
General Materials Science
Mathematics
elastic foundation
Microscopy
QC120-168.85
periodic beam
analytical solution
tolerance averaging technique
Mathematical analysis
QH201-278.5
Foundation (engineering)
Engineering (General). Civil engineering (General)
Finite element method
TK1-9971
Descriptive and experimental mechanics
Electrical engineering. Electronics. Nuclear engineering
TA1-2040
Subjects
Details
- Language :
- English
- ISSN :
- 19961944
- Volume :
- 14
- Issue :
- 5923
- Database :
- OpenAIRE
- Journal :
- Materials
- Accession number :
- edsair.doi.dedup.....4ee5697e648ea007f1c0f44e0039f21c