Analytical formulas of solutions of geometrically nonlinear equations of axisymmetric plates and shallow shells

DOI10.1007/BF02488461zbMath0758.73026OpenAlexW270502862MaRDI QIDQ4017885

Xiao-Jing Zheng, You He Zhou

Publication date: 16 January 1993

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02488461

zbMATH Keywords

uniform convergenceiterative methodexact solutionscircular thin platesaxisymmetric deformation

Mathematics Subject Classification ID

Plates (74K20) Series solutions to PDEs (35C10) Membranes (74K15)

Related Items (1)

Nonlinear vibration analysis of piezo-thermo-electrically actuated functionally graded circular plates

Cites Work

• On exact solution of Kármán's equations of rigid clamped circular plate and shallow spherical shell under a concentrated load
• Iterative solutions for the non-linear bending of circular plates
• Analytical computerization method of solving a kind of nonlinear equation of plates and shells

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