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| Discussion of effective properties prediction methods for 1D periodic beam structure |
| Received:June 01, 2015 Revised:August 23, 2015 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201605008 |
| KeyWord:asymptotic homogenization effective stiffness periodic beam structure scale factor bending energy method |
| Author | Institution |
| 易斯男 |
大连理工大学 工业装备与结构分析国家重点实验室, 大连 |
| 程耿东 |
大连理工大学 工业装备与结构分析国家重点实验室, 大连 |
| 徐亮 |
大连理工大学 工业装备与结构分析国家重点实验室, 大连 |
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| Abstract: |
| The periodic composite beam with microstructure arranged along the axis is generally simplified to an Euler-Bernoulli beam in macro.Due to the lack of the method considering both the strict mathema-tical base and the dimension reduction and homogenization to calculating the effective stiffness,the bending energy approximate method based on the plane cross-section assumption or the asymptotic homogenization based on 3D periodic medium is usually utilized in the literature.In this paper,the method of asymptotic homogenization theory for one dimensional periodic beam is introduced and compared with the other two methods.The results indicate that the bending energy method overes-timates the effective bending stiffness of the beam,because the three-dimensional stress state in the beam is neglected based on the plane cross-section assumption. |