Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method
From MaRDI portal
Publication:6135600
DOI10.1016/j.apm.2021.10.037zbMath1525.74073OpenAlexW3213274974MaRDI QIDQ6135600
Pedram Khaneh Masjedi, Paul M. Weaver
Publication date: 25 August 2023
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2021.10.037
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10)
Related Items (2)
Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach ⋮ Avoiding Small Denominator Problems by Means of the Homotopy Analysis Method
Cites Work
- Unnamed Item
- Series solution for large deflections of a cantilever beam with variable flexural rigidity
- Globally convergent homotopy methods: A tutorial
- Analysis of nonlinear fully intrinsic equations of geometrically exact beams using generalized differential quadrature method
- The interpolation of rotations and its application to finite element models of geometrically exact rods
- Coiflets solutions for Föppl-von Kármán equations governing large deflection of a thin flat plate by a novel wavelet-homotopy approach
- Large-deformation, elasto-plastic analysis of frames under nonconservative loading, using explicitly derived tangent stiffnesses based on assumed stresses
- Large deflection of functionally graded porous beams based on a geometrically exact theory with a fully intrinsic formulation
- A geometrically exact isogeometric beam for large displacements and contacts
- A homotopy analysis solution to large deformation of beams under static arbitrary distributed load
- Large deformation analysis of a cantilever beam made of axially functionally graded material by homotopy analysis method
- Static deflection of fully coupled composite Timoshenko beams: an exact analytical solution
- Nonlinear analysis for extreme large bending deflection of a rectangular plate on non-uniform elastic foundations
- An explicit solution of the large deformation of a cantilever beam under point load at the free tip
- Large deflection analysis of geometrically exact spatial beams under conservative and nonconservative loads using intrinsic equations
- Dynamics
- Energy-consistent, Galerkin approach for the nonlinear dynamics of beams using intrinsic equations
- Analytical solution for large deflections of a cantilever beam under nonconservative load based on homotopy analysis method
- Homotopy Analysis Method in Nonlinear Differential Equations
- On the Large Deflection of Cantilever Beams with End Rotational Load
- Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
- On the geometrically exact low-order modelling of a flexible beam: formulation and numerical tests
- Analytic Solutions of Von Kármán Plate under Arbitrary Uniform Pressure — Equations in Differential Form
- Large deflection of cantilever beams
This page was built for publication: Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method
