Nonlinear dynamical analysis of interaction between a three-dimensional rubberlike membrane and liquid in a rectangular tank
Membrane–liquid interactions occur in many areas of engineering and it is important to understand their properties. To overcome the difficulties caused by the presence of a moving boundary due to large deformations, an arbitrary Lagrangian–Eulerian (ALE) description is used. An analytical model of m...
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| Published in | International Journal of Non-Linear Mechanics Vol. 87; pp. 64 - 84 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English Japanese |
| Published |
New York
Elsevier Ltd
01.12.2016
Elsevier BV |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0020-7462 1878-5638 |
| DOI | 10.1016/j.ijnonlinmec.2016.09.008 |
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| Abstract | Membrane–liquid interactions occur in many areas of engineering and it is important to understand their properties. To overcome the difficulties caused by the presence of a moving boundary due to large deformations, an arbitrary Lagrangian–Eulerian (ALE) description is used. An analytical model of membrane–liquid interaction in a rectangular tank is investigated and an analytical technique that can be adapted to domains subject to large deformations is developed. A number of parametric calculations are performed, and some nonlinear characteristics are obtained that confirm the validity of the approach presented here.
•The nonlinear characteristics of membrane and liquid were examined.•An ALE description was used to solve the large deformation problems.•The validity of the analysis in the large-deformation domain thus confirmed.•The nonlinearities are strong at a large excitation. |
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| AbstractList | Membrane–liquid interactions occur in many areas of engineering and it is important to understand their properties. To overcome the difficulties caused by the presence of a moving boundary due to large deformations, an arbitrary Lagrangian–Eulerian (ALE) description is used. An analytical model of membrane–liquid interaction in a rectangular tank is investigated and an analytical technique that can be adapted to domains subject to large deformations is developed. A number of parametric calculations are performed, and some nonlinear characteristics are obtained that confirm the validity of the approach presented here.
•The nonlinear characteristics of membrane and liquid were examined.•An ALE description was used to solve the large deformation problems.•The validity of the analysis in the large-deformation domain thus confirmed.•The nonlinearities are strong at a large excitation. Membrane-liquid interactions occur in many areas of engineering and it is important to understand their properties. To overcome the difficulties caused by the presence of a moving boundary due to large deformations, an arbitrary Lagrangian-Eulerian (ALE) description is used. An analytical model of membrane-liquid interaction in a rectangular tank is investigated and an analytical technique that can be adapted to domains subject to large deformations is developed. A number of parametric calculations are performed, and some nonlinear characteristics are obtained that confirm the validity of the approach presented here. |
| Author | Parasil, Worawat Watanabe, Naoyuki |
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| BackLink | https://cir.nii.ac.jp/crid/1873961342387987072$$DView record in CiNii |
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| Snippet | Membrane–liquid interactions occur in many areas of engineering and it is important to understand their properties. To overcome the difficulties caused by the... Membrane-liquid interactions occur in many areas of engineering and it is important to understand their properties. To overcome the difficulties caused by the... |
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| SubjectTerms | 3-D technology Arbitrary Deformation Deformation mechanisms Fluids Lagrangian–Eulerian Liquid–structure interaction Nonlinear analysis Nonlinear systems Rubberlike membrane Vibration |
| Title | Nonlinear dynamical analysis of interaction between a three-dimensional rubberlike membrane and liquid in a rectangular tank |
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