Free vibration of functionally graded parabolic and circular panels with general boundary conditions

Hong Zhang, et al. "Free vibration of functionally graded parabolic and circular panels with general boundary conditions." Curved and Layered Structures 4.1 (2017): 52-84. <http://eudml.org/doc/288147>.

@article{HongZhang2017,
abstract = {The purpose of this content is to investigate the free vibration of functionally graded parabolic and circular panels with general boundary conditions by using the Fourier-Ritz method. The first-order shear deformation theory is adopted to consider the effects of the transverse shear and rotary inertia of the panel structures. The functionally graded panel structures consist of ceramic and metal which are assumed to vary continuously through the thickness according to the power-law distribution, and two types of power-law distributions are considered for the ceramic volume fraction. The improved Fourier series method is applied to construct the new admissible function of the panels to surmount the weakness of the relevant discontinuities with the original displacement and its derivatives at the boundaries while using the traditional Fourier series method. The boundary spring technique is adopted to simulate the general boundary condition. The unknown coefficients appearing in the admissible function are determined by using the Ritz procedure based on the energy functional of the panels. The numerical results show the present method has good convergence, reliability and accuracy. Some new results for functionally graded parabolic and circular panels with different material distributions and boundary conditions are provided, which may serve as benchmark solutions.},
author = {Hong Zhang, Dongyan Shi, Qingshan Wang, Bin Qin},
journal = {Curved and Layered Structures},
keywords = {Vibration; Fourier-Ritz method; Functionally graded panels},
language = {eng},
number = {1},
pages = {52-84},
title = {Free vibration of functionally graded parabolic and circular panels with general boundary conditions},
url = {http://eudml.org/doc/288147},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Hong Zhang
AU - Dongyan Shi
AU - Qingshan Wang
AU - Bin Qin
TI - Free vibration of functionally graded parabolic and circular panels with general boundary conditions
JO - Curved and Layered Structures
PY - 2017
VL - 4
IS - 1
SP - 52
EP - 84
AB - The purpose of this content is to investigate the free vibration of functionally graded parabolic and circular panels with general boundary conditions by using the Fourier-Ritz method. The first-order shear deformation theory is adopted to consider the effects of the transverse shear and rotary inertia of the panel structures. The functionally graded panel structures consist of ceramic and metal which are assumed to vary continuously through the thickness according to the power-law distribution, and two types of power-law distributions are considered for the ceramic volume fraction. The improved Fourier series method is applied to construct the new admissible function of the panels to surmount the weakness of the relevant discontinuities with the original displacement and its derivatives at the boundaries while using the traditional Fourier series method. The boundary spring technique is adopted to simulate the general boundary condition. The unknown coefficients appearing in the admissible function are determined by using the Ritz procedure based on the energy functional of the panels. The numerical results show the present method has good convergence, reliability and accuracy. Some new results for functionally graded parabolic and circular panels with different material distributions and boundary conditions are provided, which may serve as benchmark solutions.
LA - eng
KW - Vibration; Fourier-Ritz method; Functionally graded panels
UR - http://eudml.org/doc/288147
ER -