發(fā)布時間：2018-03-23 02:10

  本文選題：漸近均勻化　切入點(diǎn)：等效剛度　出處：《計算力學(xué)學(xué)報》2016年05期 　論文類型：期刊論文

【摘要】：具有軸向周期微結(jié)構(gòu)的復(fù)合梁結(jié)構(gòu),通常在宏觀上簡化為一維歐拉-伯努利梁。由于缺乏基于嚴(yán)格數(shù)學(xué)理論、同時考慮降維及均勻化的等效性能計算方法,已有研究或采用基于平截面假定的彎曲能量近似方法,或采用基于三維周期性介質(zhì)等效性質(zhì)的方法。本文首先介紹了基于一維周期性梁的漸近均勻化理論求解新方法,并在此基礎(chǔ)上與上述兩種方法進(jìn)行比較。結(jié)果表明,基于平截面假定的近似方法忽視了這類梁結(jié)構(gòu)內(nèi)的三維應(yīng)力狀態(tài),過高地估計了梁的等效性質(zhì)。
[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.
【作者單位】： 大連理工大學(xué)工業(yè)裝備與結(jié)構(gòu)分析國家重點(diǎn)實(shí)驗(yàn)室;
【基金】：國家自然科學(xué)基金(91216201) 國家重點(diǎn)基礎(chǔ)研究發(fā)展計劃(973計劃)(2014CB049000)資助項(xiàng)目
【分類號】：O302
，

本文編號：1651423