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Tuesday, July 9 • 10:50 - 11:10
STOCHASTIC FREE VIBRATION OF FUNCTIONALLY GRADED PLATES UNDER MATERIAL UNCERTAINTY

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In this work, the effect of randomness of material that occurs during the manufacturing of function-ally graded material (FGM) plates on the free vibration behavior is studied. First order perturbation theory (FOPT) is implemented in this paper to obtain the second order statistical response for mean and variance of the natural frequency of FGM plate. The kinematics of the plate are modeled based on the higher order shear deformation theory (HSDT) with nine unknowns. The governing equations of motion of the plate are obtained by employing Lagrange equation and solved by using finite element procedure. An eight noded isoparametric serendipity element is implemented for the discretization of the FGM plate. The effect randomness of elastic modulus of ceramic and metal, Poisson's ratio of ceramic and metal, density of ceramic and metal on the mean and variance of natural frequency of the FGM plate are considered. The results obtained by FOPT is validated with the classical Monte Carlo simulation (MCS), considering 10000 samples. Both the results obtained by FOPT and MCS are showing good match with each other.

Moderators
EP

Elsa Piollet

Dr, Polytechnique Montréal
avatar for Mohammad Rafiee

Mohammad Rafiee

Postdoctoral Fellow, Polytechnique Montréal
Mohammad Rafiee received his Ph.D. degree in Mechanical Engineering from the University of Ottawa in 2018. Currently, he is a Postdoctoral Fellow at Polytechnique Montreal in Canada. His research interests are primarily focused on the development of advanced composite materials, smart... Read More →
AR

Annie Ross

Professor, Polytechnique Montreal

Authors

Tuesday July 9, 2019 10:50 - 11:10 EDT
St-Laurent 8
  T07 Struct. dyn. & nonlin. vib., RS02 Vibr & cntrl of nonlin mech syst