Free vibration and buckling characteristics of compressed rectangular nanoplates resting on elastic foundation

doi:10.13465/j.cnki.jvs.2019.16.030

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Free vibration and buckling characteristics of compressed rectangular nanoplates resting on elastic foundation
	Teng, Zhaochun 2; Liu, Lu 2; Heng, Yazhou 1
刊名	Zhendong yu Chongji/Journal of Vibration and Shock
	2019-08-28
卷号	38 期号:16 页码:208-216 and 232
关键词	Algebra Aspect ratio Beams and girders Boundary conditions Buckling Foundations Nanostructures Natural frequencies Orthotropic plates Stiffness Vibrations (mechanical) Buckling critical load Critical buckling loads Different boundary condition Differential transform method Differential transformation method (DTM) Governing differential equations Non-local elasticity theories Pasternak elastic foundations
ISSN号	10003835
DOI	10.13465/j.cnki.jvs.2019.16.030
英文摘要	Based on the Eringen's nonlocal elasticity theory and the classical thin plate theory, the governing differential equation for free vibration of in-plane compressed orthotropic nanoplate resting on Winkler-Pasternak elastic foundation was derived by using the Hamilton's principle. Then the dimensionless form of the governing differential equation was also obtained. The dimensionless governing differential equation and boundary conditions were transformed to the equivalent algebraic equations by using a semi-analytic method called differential transformation method (DTM), which can derive characteristic equations of dimensionless natural frequencies and buckling loads. The influence of dimensionless foundation stiffness coefficients, pressure intensity, load parameter, aspect ratio and nano-scale factor on the dimensionless natural frequency of orthotropic rectangular nanoplate under different boundary conditions was numerically presented and the critical buckling load values of different dimensionless foundation stiffness coefficients, load parameter and nano-scale factor were given. The results show that the dimensionless natural frequency of orthotropic rectangular nanoplate increases with dimensionless foundation stiffness coefficients, load parameter and aspect ratio; decreases with nano-scale factor. The critical buckling load increases with dimensionless foundation stiffness coefficient, decreases with nano-scale factor. © 2019, 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/114320]
专题	理学院
作者单位	1.Jiangsu Xingda Steel Cord Co., Ltd., Xinghua; 225721, China 2.School of Science, Lanzhou University of Technology, Lanzhou; 730050, China;
推荐引用方式 GB/T 7714	Teng, Zhaochun,Liu, Lu,Heng, Yazhou. Free vibration and buckling characteristics of compressed rectangular nanoplates resting on elastic foundation[J]. Zhendong yu Chongji/Journal of Vibration and Shock,2019,38(16):208-216 and 232.
APA	Teng, Zhaochun,Liu, Lu,&Heng, Yazhou.(2019).Free vibration and buckling characteristics of compressed rectangular nanoplates resting on elastic foundation.Zhendong yu Chongji/Journal of Vibration and Shock,38(16),208-216 and 232.
MLA	Teng, Zhaochun,et al."Free vibration and buckling characteristics of compressed rectangular nanoplates resting on elastic foundation".Zhendong yu Chongji/Journal of Vibration and Shock 38.16(2019):208-216 and 232.