TY - JOUR
T1 - Dynamic characteristics of functionally graded porous beams with interval material properties
AU - Gao, Kang
AU - Li, Ruilong
AU - Yang, Jie
N1 - Funding Information:
The work described in the present paper is fully funded by a research grant from the Australian Research Council under Discovery Project scheme ( DP160101978 ). The authors are grateful for the financial support.
Publisher Copyright:
© 2019 Elsevier Ltd
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019/10/15
Y1 - 2019/10/15
N2 - This paper presents a new computational approach named hybrid Chebyshev surrogate model with discrete singular convolution (CSM-DSC) method to study the nondeterministic dynamic characteristics of functionally graded (FG) porous beams with material uncertainties. In the proposed approach, interval analysis can be directly applied in hybrid CSM-DSC computational framework, then the upper and low bounds of the dynamic responses of FG porous beams with various boundary conditions can be readily obtained. Based on Hamilton's principle and Timoshenko beam theory, the governing equation is established and solved by DSC method. By utilizing the higher-dimensional Chebyshev surrogate (HDCS) model, the approximate performance function involving uncertainty in three critical material properties, such as Young's modulus, mass density and porosity coefficient, is developed numerically. In order to verify the validity and accuracy of the proposed method, deterministic analysis and nondeterministic analysis are implemented to compare the present results against the published ones, and those obtained by the finite element method (FEM) and quasi-Monte Carlo simulation (QMCS) method. A comprehensive parametric study is then conducted to examine the influences of material parameter uncertainties, porosity distribution patterns, porosity coefficient, boundary conditions, and aspect ratio on the bounds of frequencies. The results show that the uncertainty of Young's modulus has the most significant effect on beam's dynamic responses, followed by that of mass density whereas the influence of the uncertain of porosity coefficient is much less pronounced.
AB - This paper presents a new computational approach named hybrid Chebyshev surrogate model with discrete singular convolution (CSM-DSC) method to study the nondeterministic dynamic characteristics of functionally graded (FG) porous beams with material uncertainties. In the proposed approach, interval analysis can be directly applied in hybrid CSM-DSC computational framework, then the upper and low bounds of the dynamic responses of FG porous beams with various boundary conditions can be readily obtained. Based on Hamilton's principle and Timoshenko beam theory, the governing equation is established and solved by DSC method. By utilizing the higher-dimensional Chebyshev surrogate (HDCS) model, the approximate performance function involving uncertainty in three critical material properties, such as Young's modulus, mass density and porosity coefficient, is developed numerically. In order to verify the validity and accuracy of the proposed method, deterministic analysis and nondeterministic analysis are implemented to compare the present results against the published ones, and those obtained by the finite element method (FEM) and quasi-Monte Carlo simulation (QMCS) method. A comprehensive parametric study is then conducted to examine the influences of material parameter uncertainties, porosity distribution patterns, porosity coefficient, boundary conditions, and aspect ratio on the bounds of frequencies. The results show that the uncertainty of Young's modulus has the most significant effect on beam's dynamic responses, followed by that of mass density whereas the influence of the uncertain of porosity coefficient is much less pronounced.
KW - Chebyshev surrogate model
KW - Discrete singular convolution
KW - Dynamic characteristics
KW - Functionally graded porous structures
KW - Interval analysis
UR - http://www.scopus.com/inward/record.url?scp=85069744665&partnerID=8YFLogxK
U2 - 10.1016/j.engstruct.2019.109441
DO - 10.1016/j.engstruct.2019.109441
M3 - Journal article
AN - SCOPUS:85069744665
SN - 0141-0296
VL - 197
JO - Engineering Structures
JF - Engineering Structures
M1 - 109441
ER -