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Free vibration, buckling and dynamic stability of bi-directional FG microbeam with a variable length scale parameter embedded in elastic medium

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成果类型:
期刊论文
作者:
Chen, Xiaochao*;Lu, Yixin;Li, Yinghui
通讯作者:
Chen, Xiaochao
作者机构:
[Chen, Xiaochao; Li, Yinghui] Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Sichuan, Peoples R China.
[Chen, Xiaochao; Li, Yinghui] Southwest Jiaotong Univ, State Key Lab Tract Power, Chengdu 610031, Sichuan, Peoples R China.
[Chen, Xiaochao; Li, Yinghui] Southwest Jiaotong Univ, Appl Mech & Struct Safety Key Lab Sichuan Prov, Chengdu 610031, Sichuan, Peoples R China.
[Lu, Yixin] Southwest Jiaotong Univ, Fac Geosci & Environm Engn, Chengdu 610031, Sichuan, Peoples R China.
通讯机构:
[Chen, Xiaochao] Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Sichuan, Peoples R China.
语种:
英文
关键词:
Bi-directional functionally graded material;Microbeam;Modified couple stress theory;Variable length scale parameter
期刊:
APPLIED MATHEMATICAL MODELLING
ISSN:
0307-904X
年:
2019
卷:
67
页码:
430-448
文献类别:
WOS:Article
所属学科:
WOS学科类别:Engineering, Multidisciplinary;Mathematics, Interdisciplinary Applications;Mechanics
入藏号:
基金类别:
National Natural Science Foundation of China [11702230, 11872319, 11602208, 51878559, 51674216]
机构署名:
本校为第一且通讯机构
院系归属:
地球科学与环境工程学院
力学与工程学院
摘要:
In this paper, size dependent free vibration, buckling and dynamic stability of bi-directional functionally graded (BDFG) microbeam embedded in elastic medium are investigated. The material properties vary along both thickness and axial directions. In particular, the material length scale parameter of microbeam is considered as a function of spatial coordinates and varies with the material gradient parameters. The system of differential equations with variable coefficients governing the motion of BDFG microbeam is derived employing Hamilton's principle, the modified couple stress theory and third-order shear deformation beam theory. The differential quadrature method (DQM) is utilized to solve the static and dynamic problem. Three different models evaluating the material length scale parameter of BDFG microbeam are presented for comparison. Parametric studies are carried out to show the influence of gradient parameters, size effect, stiffness of elastic medium on the free vibration, buckling and dynamic stability characteristic of BDFG microbeam. Results show that the variation of material length scale parameter should be considered in the analysis of BDFG microbeam. (C) 2018 Elsevier Inc. All rights reserved.
参考文献:
Aghazadeh R, 2014, EUR J MECH A-SOLID, V46, P1, DOI 10.1016/j.euromechsol.2014.01.002
Aifantis EC, 1999, INT J FRACTURE, V95, P299, DOI 10.1023/A:1018625006804
Akgoz B, 2013, COMPOS STRUCT, V98, P314, DOI 10.1016/j.compstruct.2012.11.020
Alshorbagy AE, 2011, APPL MATH MODEL, V35, P412, DOI 10.1016/j.apm.2010.07.006
Arbind A, 2014, LAT AM J SOLIDS STRU, V11, P459, DOI 10.1590/S1679-78252014000300006

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