Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method (Q6135600)

scientific article; zbMATH DE number 7731776

Language	Label	Description	Also known as
English	Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method	scientific article; zbMATH DE number 7731776

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instance of

scholarly article

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title

Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method (English)

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author

Pedram Khaneh Masjedi

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Paul M. Weaver

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published in

Applied Mathematical Modelling

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publication date

25 August 2023

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zbMATH Keywords

analytical solution

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large deflection

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homotopy analysis method

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geometrically exact beam

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.apm.2021.10.037

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cites work

On the geometrically exact low-order modelling of a flexible beam: formulation and numerical tests

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A geometrically exact isogeometric beam for large displacements and contacts

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The interpolation of rotations and its application to finite element models of geometrically exact rods

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Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation

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Energy-consistent, Galerkin approach for the nonlinear dynamics of beams using intrinsic equations

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Large deflection analysis of geometrically exact spatial beams under conservative and nonconservative loads using intrinsic equations

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Large deflection of functionally graded porous beams based on a geometrically exact theory with a fully intrinsic formulation

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Analysis of nonlinear fully intrinsic equations of geometrically exact beams using generalized differential quadrature method

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Large deflection of cantilever beams

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On the Large Deflection of Cantilever Beams with End Rotational Load

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Q4824118

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Globally convergent homotopy methods: A tutorial

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Dynamics

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Analytic Solutions of Von Kármán Plate under Arbitrary Uniform Pressure — Equations in Differential Form

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

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Nonlinear analysis for extreme large bending deflection of a rectangular plate on non-uniform elastic foundations

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An explicit solution of the large deformation of a cantilever beam under point load at the free tip

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Analytical solution for large deflections of a cantilever beam under nonconservative load based on homotopy analysis method

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A homotopy analysis solution to large deformation of beams under static arbitrary distributed load

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Series solution for large deflections of a cantilever beam with variable flexural rigidity

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Large deformation analysis of a cantilever beam made of axially functionally graded material by homotopy analysis method

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Homotopy Analysis Method in Nonlinear Differential Equations

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Large-deformation, elasto-plastic analysis of frames under nonconservative loading, using explicitly derived tangent stiffnesses based on assumed stresses

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Static deflection of fully coupled composite Timoshenko beams: an exact analytical solution

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Identifiers

zbMATH Open document ID

1525.74073

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DOI

10.1016/j.apm.2021.10.037

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6135600