A novel stochastic calculation scheme for dynamic response analysis of FG-GPLRC plate subject to a moving load

This paper is the first attempt, to the best of the authors' knowledge, to explore the effect of the stochastic material parameters on the dynamic response of functionally graded graphene platelets reinforced composites plate subject to a moving load. A novel stochastic calculation scheme is pr...

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Vydané v:	Acta mechanica Ročník 235; číslo 4; s. 1803 - 1822
Hlavní autori:	Zhang, Xuebing, Chen, Baikuang, Shao, Zhanjun, Wang, Qingshan, Xiang, Ping
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Vienna Springer Vienna 01.04.2024 Springer Springer Nature B.V
Predmet:	Classical and Continuum Physics Coefficient of variation Control Deflection Dynamic response Dynamical Systems Elastic deformation Engineering Engineering Fluid Dynamics Engineering Thermodynamics Fields (mathematics) Functionally gradient materials Graphene Hamilton's principle Heat and Mass Transfer Interpolation Modulus of elasticity Monte Carlo method Monte Carlo simulation Moving loads Original Paper Parameters Platelets (materials) Random variables Sensitivity analysis Shear deformation Solid Mechanics Stochastic processes Theoretical and Applied Mechanics Vibration
ISSN:	0001-5970, 1619-6937
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Abstract	This paper is the first attempt, to the best of the authors' knowledge, to explore the effect of the stochastic material parameters on the dynamic response of functionally graded graphene platelets reinforced composites plate subject to a moving load. A novel stochastic calculation scheme is presented in this study, which considers the spatial variability of structural material parameters for a more precise and effective analysis of plate structures. Using the radial point interpolation method (RPIM), the governing equations of the plate are derived based on the first-order shear deformation theory and Hamilton’s principle. The elastic moduli of the graphene platelets (GPLs) and the matrix are modeled as separate random fields, which are discretized using the Karhunen–Loève expansion (KLE) method. The random variables obtained by KLE were utilized in conjunction with the improved point estimation method (PEM) and Newmark- β method to determine the stochastic dynamic response. By comparing the results with those obtained using Monte Carlo method, the correctness and effectiveness of the proposed stochastic calculation scheme of PEM-RPIM are confirmed. Subsequently, the scheme was used to compute the coefficient of variation of the maximum dynamic deflection at the center of the plate, and also the sensitivity analysis was conducted. The results indicate that the distribution pattern and the weight fraction of GPLs have an impact on deflection sensitivity. Moreover, the deflection sensitivity is found to be significantly higher in response to variations of the random field E GPL .
AbstractList	This paper is the first attempt, to the best of the authors' knowledge, to explore the effect of the stochastic material parameters on the dynamic response of functionally graded graphene platelets reinforced composites plate subject to a moving load. A novel stochastic calculation scheme is presented in this study, which considers the spatial variability of structural material parameters for a more precise and effective analysis of plate structures. Using the radial point interpolation method (RPIM), the governing equations of the plate are derived based on the first-order shear deformation theory and Hamilton’s principle. The elastic moduli of the graphene platelets (GPLs) and the matrix are modeled as separate random fields, which are discretized using the Karhunen–Loève expansion (KLE) method. The random variables obtained by KLE were utilized in conjunction with the improved point estimation method (PEM) and Newmark- β method to determine the stochastic dynamic response. By comparing the results with those obtained using Monte Carlo method, the correctness and effectiveness of the proposed stochastic calculation scheme of PEM-RPIM are confirmed. Subsequently, the scheme was used to compute the coefficient of variation of the maximum dynamic deflection at the center of the plate, and also the sensitivity analysis was conducted. The results indicate that the distribution pattern and the weight fraction of GPLs have an impact on deflection sensitivity. Moreover, the deflection sensitivity is found to be significantly higher in response to variations of the random field E GPL . This paper is the first attempt, to the best of the authors' knowledge, to explore the effect of the stochastic material parameters on the dynamic response of functionally graded graphene platelets reinforced composites plate subject to a moving load. A novel stochastic calculation scheme is presented in this study, which considers the spatial variability of structural material parameters for a more precise and effective analysis of plate structures. Using the radial point interpolation method (RPIM), the governing equations of the plate are derived based on the first-order shear deformation theory and Hamilton's principle. The elastic moduli of the graphene platelets (GPLs) and the matrix are modeled as separate random fields, which are discretized using the Karhunen-Loève expansion (KLE) method. The random variables obtained by KLE were utilized in conjunction with the improved point estimation method (PEM) and Newmark- [Formula omitted] method to determine the stochastic dynamic response. By comparing the results with those obtained using Monte Carlo method, the correctness and effectiveness of the proposed stochastic calculation scheme of PEM-RPIM are confirmed. Subsequently, the scheme was used to compute the coefficient of variation of the maximum dynamic deflection at the center of the plate, and also the sensitivity analysis was conducted. The results indicate that the distribution pattern and the weight fraction of GPLs have an impact on deflection sensitivity. Moreover, the deflection sensitivity is found to be significantly higher in response to variations of the random field [Formula omitted]. This paper is the first attempt, to the best of the authors' knowledge, to explore the effect of the stochastic material parameters on the dynamic response of functionally graded graphene platelets reinforced composites plate subject to a moving load. A novel stochastic calculation scheme is presented in this study, which considers the spatial variability of structural material parameters for a more precise and effective analysis of plate structures. Using the radial point interpolation method (RPIM), the governing equations of the plate are derived based on the first-order shear deformation theory and Hamilton’s principle. The elastic moduli of the graphene platelets (GPLs) and the matrix are modeled as separate random fields, which are discretized using the Karhunen–Loève expansion (KLE) method. The random variables obtained by KLE were utilized in conjunction with the improved point estimation method (PEM) and Newmark-β method to determine the stochastic dynamic response. By comparing the results with those obtained using Monte Carlo method, the correctness and effectiveness of the proposed stochastic calculation scheme of PEM-RPIM are confirmed. Subsequently, the scheme was used to compute the coefficient of variation of the maximum dynamic deflection at the center of the plate, and also the sensitivity analysis was conducted. The results indicate that the distribution pattern and the weight fraction of GPLs have an impact on deflection sensitivity. Moreover, the deflection sensitivity is found to be significantly higher in response to variations of the random field EGPL.
Audience	Academic
Author	Chen, Baikuang Shao, Zhanjun Xiang, Ping Wang, Qingshan Zhang, Xuebing
Author_xml	– sequence: 1 givenname: Xuebing surname: Zhang fullname: Zhang, Xuebing organization: College of Civil Engineering, Xiangtan University – sequence: 2 givenname: Baikuang surname: Chen fullname: Chen, Baikuang organization: College of Civil Engineering, Xiangtan University – sequence: 3 givenname: Zhanjun orcidid: 0000-0002-5605-103X surname: Shao fullname: Shao, Zhanjun email: gerryshao@csu.edu.cn organization: School of Civil Engineering, Central South University – sequence: 4 givenname: Qingshan surname: Wang fullname: Wang, Qingshan organization: College of Mechanical and Electrical Engineering, Central South University, State Key Laboratory of Precision Manufacturing for Extreme Service Performance – sequence: 5 givenname: Ping surname: Xiang fullname: Xiang, Ping organization: School of Civil Engineering, Central South University, Hunan International Scientific and Technological Innovation Cooperation Base of Advanced Construction and Maintenance Technology of Highway, Changsha University of Science & Technology
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SubjectTerms	Classical and Continuum Physics Coefficient of variation Control Deflection Dynamic response Dynamical Systems Elastic deformation Engineering Engineering Fluid Dynamics Engineering Thermodynamics Fields (mathematics) Functionally gradient materials Graphene Hamilton's principle Heat and Mass Transfer Interpolation Modulus of elasticity Monte Carlo method Monte Carlo simulation Moving loads Original Paper Parameters Platelets (materials) Random variables Sensitivity analysis Shear deformation Solid Mechanics Stochastic processes Theoretical and Applied Mechanics Vibration
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Title	A novel stochastic calculation scheme for dynamic response analysis of FG-GPLRC plate subject to a moving load
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