6 Papers
Peng Li is an academic researcher from Technische Universität Darmstadt. The author has contributed to research in topics: Finite element method & Symplectic geometry. The author has an hindex of 5, co-authored 6 publications. Previous affiliations of Peng Li include Dalian University of Technology.
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Papers
Symplectic superposition method for new analytic buckling solutions of rectangular thin plates
TL;DR: In this article, a Hamiltonian system-based variational principle via the Lagrangian multiplier method is proposed to formulate the thin plate buckling in the symplectic space, and the governing equation is analytically solved for some fundamental subproblems which are superposed to yield the final solutions of the original problems.
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New analytic buckling solutions of rectangular thin plates with all edges free
TL;DR: In this article, the authors solved the buckling problem of a fully free plate under biaxial compression by a distinctive symplectic superposition method, which yields the benchmark analytic solutions by converting the problem to be solved into the superposition of two elaborated subproblems that are solved by the symplectic elasticity approach.
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New analytic buckling solutions of rectangular thin plates with two free adjacent edges by the symplectic superposition method
Rui Li,Rui Li,Haiyang Wang,Xinran Zheng,Sijun Xiong,Zhaoyang Hu,Xiaoye Yan,Zhe Xiao,Houlin Xu,Peng Li +9 more
TL;DR: In this article, 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.
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Hamiltonian system-based benchmark bending solutions of rectangular thin plates with a corner point‐supported
TL;DR: In this article, the benchmark bending solutions of rectangular thin plates with a corner point supported are obtained by an up-to-date symplectic superposition method within the framework of the Hamiltonian system.
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Symplectic superposition method-based new analytic bending solutions of cylindrical shell panels
TL;DR: In this paper, the authors extended the up-to-date symplectic superposition method to bending of cylindrical panels, with focus on clamped panels and their variants, by introducing the problems into the Hamiltonian system (in physics) and the symplectic space (in mathematics).
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