论文标题
夹紧弯曲的纳米梁和纳米架的自然振动
Natural vibrations of clamped curved nano-beams and nano-arches
论文作者
论文摘要
分析了基于非本地弹性理论的夹紧夹紧（C-C）纳米结构的数值解。本研究有助于了解纳米结构的机械行为。所考虑的纳米构建具有恒定的厚度和横截面的尺寸，并因裂纹样缺陷而削弱。假定裂缝是静止的，并且可以通过Eringens非本地弹性理论来对纳米构建的机械行为进行建模。裂纹对自然振动的影响是在较弱的横截面上的额外局部依从性的帮助下。开发了一种算法来确定纳米量的特征频率。目前的研究表明，裂纹长度非本地对围位和拱门半径对纳米构造的特征频率有显着影响。最终结果是在计算机的帮助下以数值获得的，并以图形方式呈现。结果还与其他研究人员以表格形式进行了比较。
Numerical solution of the clamped-clamped (C-C) nanoarches based on the non-local theory of elasticity is analysed. The present study is helpful to understand the mechanical behaviour of the nanostructures. The nanoarch under consideration has constant thickness and dimension of the cross-section and is weakened by crack-like defects. It is assumed that the crack is stationary and the mechanical behaviour of the nanoarch can be modelled by the Eringens non-local theory of elasticity. The influence of cracks on the natural vibration is prescribed with the aid of additional local compliance at the weakened cross-section. An algorithm to determine the eigen frequencies of nanoarches is developed. Present study reveals that there are significant effects of crack length non-local paremeters and radius of the arch on eigen frequency of the nanoarches. The final results are obtained numerically with the help of computer and presented graphically. The results are also compared with those presented by other researchers in the form of a table.
