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

CORC > 兰州理工大学 > 兰州理工大学 > 土木工程学院

	Modified GDQ method for vibration and buckling analyses of FGM nanobeams subjected to thermal-mechanical loads
	Zhou, Fengxi 1; Pu, Yu 1,2
刊名	Zhendong yu Chongji/Journal of Vibration and Shock
	2021-09-28
卷号	40 期号:18 页码:47-55
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
ISSN号	10003835
DOI	10.13465/j.cnki.jvs.2021.18.007
英文摘要	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.
语种	中文
出版者	Chinese Vibration Engineering Society
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/150922]
专题	土木工程学院
作者单位	1.School of Civil Engineering, Lanzhou University of Technology, Lanzhou; 730050, China; 2.College of Civil Engineering, Lanzhou Institute of Technology, Lanzhou; 730050, China
推荐引用方式 GB/T 7714	Zhou, Fengxi,Pu, Yu. 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	Zhou, Fengxi,&Pu, Yu.(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	Zhou, Fengxi,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.