Present study peruses the vibrational behavior of triangular graphene sheets based on nano-mechanical graphene sensors. To this end, pristine and defected triangular graphene sheets in two directions, zigzag and armchair, have been simulated in molecular dynamic environment, and also the static response of sheets alone and with attached particles has been studied. By extracting the natural frequency using frequency decomposition method for sheets alone and with attached particles on them, as well as for defected sheets, their vibrational characteristics are determined and the frequency sensitivity is obtained for the number of different particles added. Two analyzes of mechanical tensile properties and vibrational properties have been performed to verify the accuracy of the method used on square and rectangular graphene sheets. Graphene sheet behavior under tensile test compared with other literature of molecular dynamic results and also the vibrational behavior of the square graphene sheet is obtained from the present method compared with the results of one of the improved theories of continuum mechanics. The comparisons illustrate the accuracy and applicability of the method is used. Finally, by examining the frequency sensitivity of each sheet, it is shown that equilateral triangular geometry in zigzag direction with the highest frequency sensitivity will result in sensors with higher sensitivity.

Graphical abstract

本研究仔细研究了基于纳米机械石墨烯传感器的三角形石墨烯片的振动行为。为此，已经在分子动力学环境中模拟了锯齿形和扶手椅形两个方向上的原始和有缺陷的三角形石墨烯片，并且还研究了单独的片以及带有附着颗粒的片的静态响应。通过使用频率分解方法提取固有频率，可以对单独的纸张及其上附着有颗粒的纸张以及有缺陷的纸张提取频率，从而确定其振动特性，并针对添加的不同颗粒的数量获得频率灵敏度。对机械拉伸性能和振动性能进行了两次分析，以验证在正方形和矩形石墨烯片上使用的方法的准确性。与改进的连续体力学理论之一的结果相比较，从本方法获得了在拉伸试验下石墨烯片的行为与其他文献的分子动力学结果相比，以及正方形石墨烯片的振动行为。比较结果说明了该方法的准确性和适用性。最后，通过检查每张纸的频率灵敏度，可以发现在Z字形方向上具有最高频率灵敏度的等边三角形几何形状将导致传感器具有更高的灵敏度。比较结果说明了该方法的准确性和适用性。最后，通过检查每张纸的频率灵敏度，可以发现在Z字形方向上具有最高频率灵敏度的等边三角形几何形状将导致传感器具有更高的灵敏度。比较结果说明了该方法的准确性和适用性。最后，通过检查每张纸的频率灵敏度，可以发现在Z字形方向上具有最高频率灵敏度的等边三角形几何形状将导致传感器具有更高的灵敏度。

图形概要