Modified GDQ method for vibration and buckling analyses of FGM nanobeams subjected to thermal-mechanical loads

doi:10.13465/j.cnki.jvs.2021.18.007

IR > 土木工程学院

	Modified GDQ method for vibration and buckling analyses of FGM nanobeams subjected to thermal-mechanical loads
	Zhou FX(周凤玺)1 ; Pu Y(蒲育)1,2
	2021-09-28
发表期刊	Zhendong yu Chongji/Journal of Vibration and Shock
ISSN	10003835
卷号	40 期号:18 页码:47-55
摘要	Based on Eringen's nonlocal linear elastic theory and n-th order generalized beam theory (GBT), the coupled vibration and buckling characteristics of functionally graded material (FGM) nanobeams subjected to thermal-mechanical loads were investigated by using a modified generalized differential quadrature (MGDQ) method. The material properties were temperature-dependent according to the Voigt mixture power-law model and various types of temperature distributions were assumed to be steady along the thickness direction of the structure. The governing differential equations for the coupled vibration and buckling of the system were derived unifiedly in accordance with the Hamilton's principle. By introducing control parameters for three different kinds of boundary conditions, the MGDQ method was used to solve the coupled vibration response of the structure with the MATLAB procedure. A loop subprogram was also written to obtain the static responses based on the duality between the vibration and buckling responses of FGM nanobeams. The MGDQ method presented was validated to be available and highly efficient by comparison with those of available results in the literature. Finally, the effects of various beam theories, boundary conditions, nonlocal scale parameters, initial axial mechanical loads, various types of temperature distributions, temperature rises, thermal-mechanical loads, material graded index and slenderness ratios on the vibration and buckling characteristics of FGM nanobeams were studied. © 2021, Editorial Office of Journal of Vibration and Shock. All right reserved.
关键词	Beams and girders Boundary conditions Buckling MATLAB Nanowires Temperature distribution Vibrations (mechanical) Buckling loads Frequency Functionally graded material nanobeam Generalized beam theories Generalized differential quadrature methods Modified generalized differential quadrature method N-th order generalized beam theory Nano beams Size-dependent effect Thermal-mechanical load
DOI	10.13465/j.cnki.jvs.2021.18.007
收录类别	EI
语种	中文
出版者	Chinese Vibration Engineering Society
EI入藏号	20214111012283
EI主题词	Functionally graded materials
EI分类号	408.2 Structural Members and Shapes ; 641.1 Thermodynamics ; 723.5 Computer Applications ; 761 Nanotechnology ; 921 Mathematics ; 931.1 Mechanics ; 933 Solid State Physics
引用统计	无
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/150922
专题	土木工程学院
作者单位	1.兰州理工大学土木工程学院; 2.兰州工业学院土木工程学院
第一作者单位	土木工程学院
第一作者的第一单位	土木工程学院
推荐引用方式 GB/T 7714	Zhou FX,Pu Y. Modified GDQ method for vibration and buckling analyses of FGM nanobeams subjected to thermal-mechanical loads[J]. Zhendong yu Chongji/Journal of Vibration and Shock,2021,40(18):47-55.
APA	周凤玺,&蒲育.(2021).Modified GDQ method for vibration and buckling analyses of FGM nanobeams subjected to thermal-mechanical loads.Zhendong yu Chongji/Journal of Vibration and Shock,40(18),47-55.
MLA	周凤玺,et al."Modified GDQ method for vibration and buckling analyses of FGM nanobeams subjected to thermal-mechanical loads".Zhendong yu Chongji/Journal of Vibration and Shock 40.18(2021):47-55.