基于非局部應(yīng)變梯度理論,研究了軸向功能梯度Bernoulli-Euler微梁在集中載荷和分布載荷作用下的彎曲行為.軸向功能梯度微梁的材料參數(shù)沿軸向連續(xù)變化.基于最小勢能原理,推導(dǎo)了微梁的運(yùn)動方程以及相應(yīng)的經(jīng)典和非經(jīng)典邊界條件,并利用Galerkin加權(quán)余量法和歸一化技術(shù)對控制微分方程進(jìn)行了求解.在非局部應(yīng)變梯度理論、非局部彈性理論、應(yīng)變梯度理論和經(jīng)典彈性理論的框架下,對受正弦分布荷載作用的軸向功能梯度微梁的橫向變形進(jìn)行了比較.結(jié)果表明,微梁的彎曲柔度隨材料長度尺度參數(shù)與梁高比值的增大而減小,但隨材料非局部參數(shù)的增大而增大,功能梯度參數(shù)對控制微梁撓度具有重要作用.該工作可為相關(guān)領(lǐng)域內(nèi)軸向功能梯度微梁的設(shè)計(jì)和分析提供理論依據(jù)和技術(shù)參考. 

【文章來源】：Journal of Southeast University（English Edition）. 2019,35(04)

【文章頁數(shù)】：11 頁

【文章目錄】：
1 Nonlocal Strain Gradient Theory
2 Governing Equations
3 Analytical Solutions
    3.1 Concentrated load
    3.2 Uniform load
    3.3 Linear load
    3.4 Sinusoidal load
        3.4.1 Nonlocal strain gradient solution
        3.4.2 Nonlocal elastic solution
        3.4.3 Strain gradient solution
        3.4.4 Classical elastic solution
4 Numerical Results and Discussion
    4.1 AFG microbeam subjected to a concentrated force
    4.2 AFG microbeam subjected to distributed loads
    4.3 Discussions on results via different theories
5 Conclusions


【參考文獻(xiàn)】：
期刊論文
[1]Deep postbuckling and nonlinear bending behaviors of nanobeams with nonlocal and strain gradient effects[J]. Bo ZHANG,Huoming SHEN,Juan LIU,Yuxing WANG,Yingrong ZHANG.  Applied Mathematics and Mechanics（English Edition）. 2019(04)



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