Wrinkle Generation Without Bifurcation in a Shear-Enforced Rectangular Membrane with Free Boundaries
| Autor: | Kei Senda, Kei Nakanishi, Mario Petrovic |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Physics
Aerospace Engineering Flexural rigidity Mechanics Finite element method Physics::Fluid Dynamics Condensed Matter::Soft Condensed Matter Nonlinear Sciences::Chaotic Dynamics symbols.namesake Shear (geology) Space and Planetary Science Bending stiffness medicine symbols Taylor series medicine.symptom Nonlinear Sciences::Pattern Formation and Solitons Wrinkle Newton's method Bifurcation Simulation |
| Zdroj: | Journal of Spacecraft and Rockets. 52:1057-1073 |
| ISSN: | 1533-6794 0022-4650 |
| Popis: | The object of this study is to clarify wrinkling behavior of a shear-enforced flat rectangular membrane with free boundaries. For this purpose, an equilibrium path tracking method using a finite element method is developed. This method includes bifurcation path tracking analysis that searches for bifurcation solutions. This method establishes an image of membrane behavior by calculating a series of successive equilibrium states before and after bifurcation buckling. Through detailed analysis of stress, displacement fields, and wrinkle interaction over a load parameter range, the analysis shows how existing wrinkles affect each other and the generation of new wrinkles. As a result, there is wrinkle generation with bifurcation and without bifurcation. The wrinkle generation mechanism without bifurcation is analyzed in detail. Wrinkle generation caused by bifurcations could potentially result in a large number of equilibrium paths. Each equilibrium path represents a specific wrinkle pattern. However, the analyzed results show that significantly fewer equilibrium paths are obtained than expected. These are due to wrinkle generation without bifurcations and to deformation symmetry. |
| Databáze: | OpenAIRE |
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