New analytic buckling solutions of rectangular thin plates with two free adjacent edges by the symplectic superposition method

doi:10.1016/j.euromechsol.2019.04.014

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	New analytic buckling solutions of rectangular thin plates with two free adjacent edges by the symplectic superposition method
	Li R(李睿); Wang HY; Zheng XR; Xiong SJ; Hu ZY; Yan XY; Xiao Z; Xu HL; Li P
刊名	EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
	2019-07-01
卷号	76 页码:247-262
关键词	Analytic solution Plate buckling Free edge Free comer Symplectic superposition method
ISSN号	0997-7538
DOI	10.1016/j.euromechsol.2019.04.014
通讯作者	Li, Rui(ruili@dlut.edu.cn)
英文摘要	This paper deals with a classic but very difficult type of problems, i.e., pursuing analytic buckling solutions of biaxially loaded rectangular thin plates with two free adjacent edges that are characterized by having both the free edges and a free corner. The primary challenge is to find the solutions satisfying both the governing high-order partial differential equations (PDEs) and non-Levy-type boundary constraints. Here, an up-to-date symplectic superposition method is developed for the issues, which yields the analytic solutions by converting the problems to be solved into the superposition of two elaborated subproblems that are solved by the symplectic elasticity approach. The distinctive merit of the method is that a direct rigorous derivation helps to access the analytic solutions without any assumptions/prior knowledge of the solution forms, which is attributed to the implementation in the symplectic space-based Hamiltonian system rather than in the classic Euclidean space-based Lagrangian system. As the important outputs, comprehensive new analytic results are obtained, with 1200 critical buckling loads and 100 buckling mode shapes presented, which are all well validated by the refined finite element analysis. The rapid convergence and favorable accuracy of the present method make it competent as a benchmark one for similar problems.
分类号	二类/Q1
资助项目	Young Elite Scientists Sponsorship Program by CAST[2015QNRC001] ; National Basic Research Program of China[2014CB049000] ; Opening Fund of State Key Laboratory of Nonlinear Mechanics ; Fundamental Research Funds for the Central Universities[DUT18GF101]
WOS关键词	FREE-VIBRATION SOLUTIONS ; GRADED SANDWICH PLATES ; DISCRETE SINGULAR CONVOLUTION ; ELASTICITY APPROACH ; THERMAL-STABILITY ; EFFICIENT ; LOADS
WOS研究方向	Mechanics
语种	英语
WOS记录号	WOS:000472691600020
资助机构	Young Elite Scientists Sponsorship Program by CAST ; National Basic Research Program of China ; Opening Fund of State Key Laboratory of Nonlinear Mechanics ; Fundamental Research Funds for the Central Universities
其他责任者	Li, Rui
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/79403]
专题	力学研究所_非线性力学国家重点实验室
推荐引用方式 GB/T 7714	Li R,Wang HY,Zheng XR,et al. New analytic buckling solutions of rectangular thin plates with two free adjacent edges by the symplectic superposition method[J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,2019,76:247-262.
APA	李睿.,Wang HY.,Zheng XR.,Xiong SJ.,Hu ZY.,...&Li P.(2019).New analytic buckling solutions of rectangular thin plates with two free adjacent edges by the symplectic superposition method.EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,76,247-262.
MLA	李睿,et al."New analytic buckling solutions of rectangular thin plates with two free adjacent edges by the symplectic superposition method".EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 76(2019):247-262.