Buckling of Planar Micro-Structured Beams
| Autor: | Francesco D’Annibale, Manuel Ferretti |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Timoshenko beam theory
Constitutive equation homogenization procedure 02 engineering and technology Homogenization (chemistry) lcsh:Technology lcsh:Chemistry Planar 0203 mechanical engineering General Materials Science Image warping Instrumentation lcsh:QH301-705.5 Fluid Flow and Transfer Processes Physics Equivalent beam model Homogenization procedure Micro-structured beam lcsh:T Process Chemistry and Technology Mathematical analysis General Engineering equivalent beam model 021001 nanoscience & nanotechnology Finite element method lcsh:QC1-999 Computer Science Applications 020303 mechanical engineering & transports Buckling lcsh:Biology (General) lcsh:QD1-999 lcsh:TA1-2040 Physics::Accelerator Physics micro-structured beam 0210 nano-technology lcsh:Engineering (General). Civil engineering (General) Beam (structure) lcsh:Physics |
| Zdroj: | Applied Sciences, Vol 10, Iss 6506, p 6506 (2020) Applied Sciences Volume 10 Issue 18 |
| ISSN: | 2076-3417 |
| Popis: | In this paper, a Timoshenko beam model is formulated for buckling analysis of periodic micro-structured beams, uniformly compressed. These are planar grid beams, whose micro-structure consists of a square lattice of equal fibers, modeled as Timoshenko micro-beams. The equivalent beam model is derived in the framework of a direct one-dimensional approach and its constitutive law, including the effect of prestress of the longitudinal fibers, is deduced through a homogenization approach. Accordingly, micro&ndash macro constitutive relations are obtained through an energy equivalence between a cell of the periodic model and a segment of the equivalent beam. The model also accounts for warping of the micro-structure, via the introduction of elastic and geometric corrective factors of the constitutive coefficients. A survey of the buckling behavior of sample grid beams is presented to validate the effectiveness and limits of the equivalent model. To this purpose, results supplied by the exact analyses of the equivalent beam are compared with those given by finite element models of bi-dimensional frames. |
| Databáze: | OpenAIRE |
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