TY - JOUR ID - 43439 TI - Nonlinear vibration analysis of functionally graded plate in contact with fluid: Analytical study JO - Iranian Journal of Mechanical Engineering Transactions of the ISME JA - JMEE LA - en SN - 1605-9727 AU - Hashemi, Soheil AU - Jafari, Ali Asghar AD - Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran AD - K.N Toosi University Y1 - 2020 PY - 2020 VL - 21 IS - 1 SP - 110 EP - 134 KW - Nonlinear vibration KW - Functionally graded materials KW - Fluid pressure KW - first order shear deformation theory KW - modified Lindstedt-Poincare method DO - N2 - In this paper, the nonlinear vibrations analysis of functionally graded (FG) rectangular plate in contact with fluid are investigated analytically using first order shear deformation theory (FSDT). The pressure exerted on the free surface of the plate by the fluid is calculated using the velocity potential function and the Bernoulli equation. With the aid of von Karman nonlinearity strain-displacement relations and Galerkin procedure the partial differential equations of motion are developed. The nonlinear equation of motion is then solved by modified Lindstedt-Poincare method. The effects of some system parameters such as vibration amplitude, fluid density, fluid depth ratio, volume fraction index and aspect ratio on the nonlinear natural frequency of the plate are discussed in detail. UR - https://jmee.isme.ir/article_43439.html L1 - https://jmee.isme.ir/article_43439_0e9e130bc65ee62eac2b1502b9550bd3.pdf ER -