A general method for analyzing moderately large deflections of a non-uniform beam: an infinite Bernoulli-Euler-von Kármán beam on a nonlinear elastic foundation
From MaRDI portal
Publication:398558
DOI10.1007/S00707-013-1077-XzbMath1401.74170OpenAlexW2069995212MaRDI QIDQ398558
Publication date: 15 August 2014
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-013-1077-x
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45)
Related Items (13)
Coupled bending and torsional vibration characteristics analysis of inhomogeneous wind turbine tower with variable cross Section under elastic constraint ⋮ Analytical solution for the elastic bending of beams lying on a variable Winkler support ⋮ Nonlinear analysis of deep beam resting on linear and nonlinear random soil ⋮ Exact solutions for free vibrations of axially inhomogeneous Timoshenko beams with variable cross section ⋮ A differential quadrature procedure for linear and nonlinear steady state vibrations of infinite beams traversed by a moving point load ⋮ Pseudo-parameter iteration method (PIM): a semi-analytic solution procedure for nonlinear problems ⋮ Unnamed Item ⋮ A new solution procedure for the nonlinear telegraph equation ⋮ A new solution procedure for a nonlinear infinite beam equation of motion ⋮ An improved analytical method for vibration analysis of variable section beam ⋮ Analytical analysis of free vibration of non-uniform and non-homogenous beams: asymptotic perturbation approach ⋮ An efficient iterative method for computing deflections of Bernoulli-Euler-von Karman beams on a nonlinear elastic foundation ⋮ Fourier Method for Inverse Coefficient Euler-Bernoulli Beam Equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and uniqueness of nonlinear deflections of an infinite beam resting on a non-uniform nonlinear elastic foundation
- Nonlinear analysis of non-uniform beams on nonlinear elastic foundation
- A second order theory for large deflections of slender beams
- Forced vibrations of an elasto-plastic and deteriorating beam
- An asymptotic analysis of large deflections and rotations of elastic rods
- Elastodynamics of thin plates with internal dissipative processes. I: Theoretical foundations
- Moderately large forced oblique vibrations of elastic- viscoplastic deteriorating slightly curved beams
- Elastodynamics of thin plates with internal dissipative processes. II: Computational aspects
- Large deflection analysis of beams with variable stiffness
- Vibration of nonclassical shear beams with Winkler-Pasternak-type restraint
- Deflection of nonuniform beams resting on a nonlinear elastic foundation
- Exact static deflection of a non-uniform bernoulli-euler beam with general elastic end restraints
- Dynamics of Linear Elastic Structures with Selfstress: A Unified Treatment for Linear and Nonlinear Problems
This page was built for publication: A general method for analyzing moderately large deflections of a non-uniform beam: an infinite Bernoulli-Euler-von Kármán beam on a nonlinear elastic foundation
