Coiflets solutions for Föppl-von Kármán equations governing large deflection of a thin flat plate by a novel wavelet-homotopy approach

DOI10.1007/s11075-018-0470-xzbMath1433.65339OpenAlexW2782707322MaRDI QIDQ1625751

Qiang Yu, Hang Xu, Shi-Jun Liao

Publication date: 29 November 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-018-0470-x

zbMATH Keywords

Galerkin methodwaveletCoifletsFöppl-von Kármán equations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) PDEs in connection with mechanics of deformable solids (35Q74) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (10)

Homotopy coiflets wavelet solution of electrohydrodynamic flows in a circular cylindrical conduit ⋮ A homotopy-based wavelet method for extreme large bending analysis of heterogeneous anisotropic plate with variable thickness on orthotropic foundation ⋮ Nonlinear vibration analysis of functionally graded flow pipelines under generalized boundary conditions based on homotopy analysis ⋮ Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method ⋮ Accurate coiflet wavelet solution of extended \((2+1)\)-dimensional Kadomtsev-Petviashvili equation using the novel wavelet-homotopy analysis approach ⋮ A hierarchical wavelet method for nonlinear bending of materially and geometrically anisotropic thin plate ⋮ A homotopy-based wavelet approach for large deflection of a circular plate on nonlinear foundations with parameterized boundaries ⋮ Novel wavelet-homotopy Galerkin technique for analysis of lid-driven cavity flow and heat transfer with non-uniform boundary conditions ⋮ Highly accurate wavelet-homotopy solutions for mixed convection hybrid nanofluid flow in an inclined square lid-driven cavity ⋮ Coiflet wavelet-homotopy solution of channel flow due to orthogonally moving porous walls governed by the Navier-Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An iterative HAM approach for nonlinear boundary value problems in a semi-infinite domain
• Large deflection of a rectangular magnetoelectroelastic thin plate
• Analytic and numerical solutions to the Lane-Emden equation
• On the compatibility relation for the Föppl-von Kármán plate equations
• Notes on the homotopy analysis method: some definitions and theorems
• Homotopy analysis method applied to electrohydrodynamic flow
• From the classical to the generalized von Kármán and Marguerre--von Kármán equations
• An analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcation
• A justification of the Marguerre-von Kármán equations
• Large deflection analysis of plates on elastic foundation by the boundary element method
• La methode de Kikuchi appliquee aux equations de von Kármán
• Non-linear analysis of plates by the analog equation method
• A dual reciprocity boundary element approach for the problems of large deflection of thin elastic plates
• RBF-based meshless method for large deflection of elastic thin plates on nonlinear foundations
• Some remarks on radial solutions of Föppl-von Kármán equations
• An existence theorem for the von Kármán equations
• Numerical analysis of the generalized von Kármán equations
• The Föppl-von Kármán equations for plates with incompatible strains
• Von Karman Evolution Equations
• Geometrically nonlinear analysis of rectangular mindlin plates using the finite strip method
• Nonlinear differential–difference equations and Fourier analysis
• On the Finiteness of the Number of Determining Elements for von Karman Evolution Equations
• THE COMPUTATION OF WAVELET-GALERKIN APPROXIMATION ON A BOUNDED INTERVAL
• ON THE GENERALIZED VON KÁRMÁN EQUATIONS AND THEIR APPROXIMATION
• An existence theorem for generalized von Kármán equations

This page was built for publication: Coiflets solutions for Föppl-von Kármán equations governing large deflection of a thin flat plate by a novel wavelet-homotopy approach