A biparametric perturbation method for the Föppl-von Kármán equations of bimodular thin plates

DOI10.1016/j.jmaa.2017.06.046zbMath1432.74124OpenAlexW2716443610MaRDI QIDQ2014123

Zhou-Lian Zheng, Ying-Zhu Wang, Liang Cao, Jun-Yi Sun, Xiao-Ting He

Publication date: 10 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.06.046

zbMATH Keywords

loadscentral deflectionFöppl-von Kármán equationsbimodulusbiparametric perturbation methodselection of parameters

Mathematics Subject Classification ID

Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Application of biparametric perturbation method to functionally graded thin plates with different moduli in tension and compression ⋮ Nonlinear large deformation problem of rectangular thin plates and its perturbation solution under cylindrical bending: Transform from plate/membrane to beam/cable

Cites Work

• Buckling and postcritical behaviour of the elastic infinite plate strip resting on linear elastic foundation
• Stabilization of von Kármán plate in the presence of thermal effects in a subsonic potential flow of gas
• Large deflection of circular plate under compound load
• Biparametric perturbation solutions of large deflection problem of cantilever beams
• A cubic Hermite finite element-continuation method for numerical solutions of the von Kármán equations
• The perturbation parameter in the problem of large deflection of clamped circular plates
• Finding high-order solutions of Chien's perturbation method to study convergence by computer
• A new approach to the analysis of shells, plates and membranes with finite deflections
• A Lagrangian for von Kármán equations of large deflection problem of thin circular plate.
• Application of a biparametric perturbation method to large-deflection circular plate problems with a bimodular effect under combined loads
• Convergence analysis of a finite element method based on different moduli in tension and compression
• Nonlinear large deflection problems of beams with gradient: a biparametric perturbation method
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