▎ 摘　　要

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.