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 - http://jmee.isme.ir/article_43439.html
L1 - http://jmee.isme.ir/article_43439_0e9e130bc65ee62eac2b1502b9550bd3.pdf
ER -