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| Numerical implementation method of quasi periodic beam based on asymptotic homogenization method |
| Received:July 07, 2022 Revised:August 31, 2022 |
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| DOI：10.7511/jslx20220707002 |
| KeyWord:NIAH method quasi periodic beam effective stiffness mapping function finite element analysis |
| Author | Institution |
| 章雨驰 |
南京航空航天大学 机械结构力学及控制国家重点实验室 航空学院, 南京 |
| 徐亮 |
南京航空航天大学 机械结构力学及控制国家重点实验室 航空学院, 南京 |
| 刘电子 |
东安格利亚大学 工程学院, 诺里奇 NR4 7TJ |
| 钱征华 |
南京航空航天大学 机械结构力学及控制国家重点实验室 航空学院, 南京 |
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| Abstract: |
| Compared with a periodic beam structure,a quasi-periodic beam structure has greater design freedom and better structural performance.Due to its heterogeneity,a quasi periodic beam is generally homogenized into a homogeneous beam with equivalent properties,but the current methodology rarely involves the effective properties of quasi-periodic beam structures.In this paper,for the quasi-periodic beam structure mapped from a periodic beam structure,by introducing the Jacobian matrix,the unit cell equation and its effective property calculation formula are derived based on the asymptotic homogenization method.Based on the calculation formula,the finite element solution formula of the unit cell equation and effective stiffness are established.This method can deal with any micro cell deformed along the axial direction.The numerical examples verify its correctness and effectiveness. |
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