TY - JOUR ID - 83811 TI - Nonlocal effect on the axisymmetric nonlinear vibrational response of nano-disks using variational iteration method JO - Journal of Computational Applied Mechanics JA - JCAMECH LA - en SN - 2423-6713 AU - Shariati, Mojtaba AU - Shishesaz, Mohammad AU - Mosalmani, Reza AU - Seyed Roknizadeh, Seyed Alireza AU - Hosseini, Mohammad AD - Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran AD - Department of Mechanical Engineering, University of Hormozgan, Bandar Abbas, Iran Y1 - 2021 PY - 2021 VL - 52 IS - 3 SP - 507 EP - 534 KW - Nonlinear free vibration KW - nano-disks KW - Nonlocal Elasticity Theory KW - Von Karman strain DO - 10.22059/jcamech.2021.305561.525 N2 - In this study, the nonlinear free vibration of a nano-disk considering small scale effects has been investigated by using the nonlocal elasticity. To take into account the nonlinear geometric effects, the nonlinear model of von Karman strain has been used while the governing differential equation was extracted according to Hamilton principle. The Galerkin weighted residual method in conjunction with the variational iteration method (VIM) was introduced to solve the governing equations for simply supported and clamped edge boundary conditions. For further comparison, the nonlinear equation was solved using the fourth-order Runge-Kutta method. Very good agreements were observed between the results of both methods, while the former method made the solution much easier. Additionally, it was observed that the ratio of thickness to radius, h/R, plays an important role on the nonlinear frequencies. This effect appears to be minute if the local elasticity theory is adopted. However, results indicated that the nonlocal effect may be ignored provided h/R ratio is very small. UR - https://jcamech.ut.ac.ir/article_83811.html L1 - https://jcamech.ut.ac.ir/article_83811_68adc62fd57ecb4979c2f797c8f80d4b.pdf ER -