一维周期性梁结构等效性能计算方法讨论

发布时间：2018-03-23 02:10

  本文选题：渐近均匀化　切入点：等效刚度　出处：《计算力学学报》2016年05期 　论文类型：期刊论文

【摘要】：具有轴向周期微结构的复合梁结构,通常在宏观上简化为一维欧拉-伯努利梁。由于缺乏基于严格数学理论、同时考虑降维及均匀化的等效性能计算方法,已有研究或采用基于平截面假定的弯曲能量近似方法,或采用基于三维周期性介质等效性质的方法。本文首先介绍了基于一维周期性梁的渐近均匀化理论求解新方法,并在此基础上与上述两种方法进行比较。结果表明,基于平截面假定的近似方法忽视了这类梁结构内的三维应力状态,过高地估计了梁的等效性质。
[Abstract]:The composite beam structure with axial periodic microstructures is usually simplified to a one-dimensional Euler-Bernoulli beam macroscopically. Due to the lack of equivalent performance calculation method based on strict mathematical theory, both dimensionality reduction and homogenization are considered. Either the bending energy approximation method based on the assumption of plane section or the method based on the equivalent properties of three-dimensional periodic medium have been studied. In this paper, a new method based on the asymptotic homogenization theory of one-dimensional periodic beam is introduced. The results show that the approximate method based on the assumption of plane section ignores the three-dimensional stress state in this kind of beam structure and overestimates the equivalent properties of the beam.
【作者单位】： 大连理工大学工业装备与结构分析国家重点实验室;
【基金】：国家自然科学基金(91216201) 国家重点基础研究发展计划(973计划)(2014CB049000)资助项目
【分类号】：O302
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本文编号：1651423