Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness
A specific periodic bar-and-joint framework with limited degrees of freedom is shown to have a transition mechanism when subjected to an external force. The static nonlinear elasticity of this framework under a uniaxial load is modelled with the two angular variables specifying the rotation and dist...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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The Royal Society
2018-01-01
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| Series: | Royal Society Open Science |
| Subjects: | |
| Online Access: | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.180139 |
| _version_ | 1818406794475601920 |
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| author | H. Tanaka K. Hamada Y. Shibutani |
| author_facet | H. Tanaka K. Hamada Y. Shibutani |
| author_sort | H. Tanaka |
| collection | DOAJ |
| description | A specific periodic bar-and-joint framework with limited degrees of freedom is shown to have a transition mechanism when subjected to an external force. The static nonlinear elasticity of this framework under a uniaxial load is modelled with the two angular variables specifying the rotation and distortion of the linked square components. Numerically exploring the equilibrium paths then reveals a transition state of the structure at a critical value of the internal stiffness. A simplified formulation of the model with weak nonlinear terms yields an exact solution of its transition state. Load–displacement behaviour and stability for the two systems with or without approximation are analysed and compared. |
| first_indexed | 2024-12-14T09:17:36Z |
| format | Article |
| id | doaj.art-1de430a6ebfe442d9ba0268889f0c307 |
| institution | Directory Open Access Journal |
| issn | 2054-5703 |
| language | English |
| last_indexed | 2024-12-14T09:17:36Z |
| publishDate | 2018-01-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj.art-1de430a6ebfe442d9ba0268889f0c3072022-12-21T23:08:23ZengThe Royal SocietyRoyal Society Open Science2054-57032018-01-015610.1098/rsos.180139180139Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffnessH. TanakaK. HamadaY. ShibutaniA specific periodic bar-and-joint framework with limited degrees of freedom is shown to have a transition mechanism when subjected to an external force. The static nonlinear elasticity of this framework under a uniaxial load is modelled with the two angular variables specifying the rotation and distortion of the linked square components. Numerically exploring the equilibrium paths then reveals a transition state of the structure at a critical value of the internal stiffness. A simplified formulation of the model with weak nonlinear terms yields an exact solution of its transition state. Load–displacement behaviour and stability for the two systems with or without approximation are analysed and compared.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.180139transition mechanismnonlinear elasticityperiodic bar-and-joint frameworkstructural stability |
| spellingShingle | H. Tanaka K. Hamada Y. Shibutani Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness Royal Society Open Science transition mechanism nonlinear elasticity periodic bar-and-joint framework structural stability |
| title | Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness |
| title_full | Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness |
| title_fullStr | Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness |
| title_full_unstemmed | Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness |
| title_short | Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness |
| title_sort | transition mechanism for a periodic bar and joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness |
| topic | transition mechanism nonlinear elasticity periodic bar-and-joint framework structural stability |
| url | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.180139 |
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