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

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	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
通讯作者	Li, Rui(ruili@dlut.edu.cn)
发表期刊	EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
	2019-07-01
卷号	76 页码:247-262
ISSN	0997-7538
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.
关键词	Analytic solution Plate buckling Free edge Free comer Symplectic superposition method
DOI	10.1016/j.euromechsol.2019.04.014
收录类别	SCI
语种	英语
WOS记录号	WOS:000472691600020
关键词[WOS]	FREE-VIBRATION SOLUTIONS ; GRADED SANDWICH PLATES ; DISCRETE SINGULAR CONVOLUTION ; ELASTICITY APPROACH ; THERMAL-STABILITY ; EFFICIENT ; LOADS
WOS研究方向	Mechanics
WOS类目	Mechanics
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]
项目资助者	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
论文分区	二类/Q1
力学所作者排名	1
RpAuthor	Li, Rui
引用统计	被引频次：39[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/79403
专题	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.

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