TY - JOUR ID - 14265 TI - Nonlocal Elasticity Effect on Linear Vibration of Nano-circular Plate Using Adomian Decomposition Method JO - Journal of Applied and Computational Mechanics JA - JACM LA - en SN - AU - Shishesaz, Mohammad AU - Shariati, Mojtaba AU - Yaghootian, Amin AD - Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Golestan Blvd., Ahvaz, 61357-43337, Iran Y1 - 2020 PY - 2020 VL - 6 IS - 1 SP - 63 EP - 76 KW - Linear free vibration KW - Nano-circular plates KW - Nonlocal elasticity KW - Adomian decomposition method DO - 10.22055/jacm.2019.28504.1488 N2 - In this study, the small scale effect on the linear free-field vibration of a nano-circular plate has been investigated using nonlocal elasticity theory. The formulation is based on the classical theory and the linear strain in cylindrical coordinates. To take into account the small scale and the linear geometric effects, the governing differential equation based on the nonlocal elasticity theory was extracted from Hamilton principle while the inertial effect, as well as the shear stresses effect was ignored. Effect of nonlocal parameter is investigated by solving the governing equation using Adomian decomposition method (ADM) for the clamped and simply supported boundary conditions. By using this method, the first five axisymmetric natural frequencies and displacements of nano-circular plate are obtained one at a time and some numerical results are given to illustrate the influence of nonlocal parameters on the natural frequencies and displacements of the nano-circular plate. For the purpose of comparison, the linear equations were solved by the analytical method. Excellent agreements were observed between the two methods. This indicates that the latter method can be applied to seek the linear solution of nano-circular plates with high accuracy while simplifying the problem. UR - https://jacm.scu.ac.ir/article_14265.html L1 - https://jacm.scu.ac.ir/article_14265_7f27907b243be39fce7ae7c332ccb509.pdf ER -