计算力学学报2016，Vol.33Issue(5)：704-710,7.DOI:10.7511/jslx201605008
一维周期性梁结构等效性能计算方法讨论
Discussion of effective properties prediction methods for 1 D periodic beam structure
摘要
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.关键词
渐近均匀化/等效刚度/周期性梁结构/尺寸因子/弯曲能量法Key words
asymptotic homogenization/effective stiffness/periodic beam structure/scale factor/bending energy method分类
数理科学引用本文复制引用
易斯男,程耿东,徐亮..一维周期性梁结构等效性能计算方法讨论[J].计算力学学报,2016,33(5):704-710,7.基金项目
国家自然科学基金(91216201) （91216201）
国家重点基础研究发展计划(973计划)(2014CB049000)资助项目 （973计划）
