Numerical transfer-method with boundary conditions for arbitrary curved beam elements

DOI10.1016/j.enganabound.2008.04.004zbMath1244.74217OpenAlexW1991538747MaRDI QIDQ443404

Lázaro Gimena, Faustino N. Gimena, Pedro Gonzaga

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.04.004

zbMATH Keywords

transfer matrixboundary conditionsdifferential systemcurved beamFrenet-Serret formulas

Mathematics Subject Classification ID

Related Items (10)

Boundary equations in the finite transfer method for solving differential equation systems ⋮ Free in-plane vibration of curved beam structures: A tutorial and the state of the art ⋮ Stiffness matrix derivation of space beam element at elevated temperature ⋮ General finite element description for non-uniform and discontinuous beam elements ⋮ New shape functions for non-uniform curved Timoshenko beams with arbitrarily varying curvature using basic displacement functions ⋮ Static, vibration, and transient dynamic analyses by beam element with adaptive displacement interpolation functions ⋮ Free vibration analysis of non-uniform thin curved arches and rings using Adomian modified decomposition method ⋮ Buckling analyses of axially functionally graded nonuniform columns with elastic restraint using a localized differential quadrature method ⋮ Free vibration and stability of tapered Euler-Bernoulli beams made of axially functionally graded materials ⋮ FORCES, MOMENTS, ROTATIONS, AND DISPLACEMENTS OF POLYNOMIAL-SHAPED CURVED BEAMS

Cites Work

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• On the hybrid-mixed formulation of \(C^ 0\) curved beam elements
• The boundary element method in elasticity
• Dynamics of geometrically nonlinear rods. I: Mechanical models and equations of motion
• Stiffness and Transfer Matrix Analysis in Global Coordinates of a 3D Curved Beam
• A flexibility-based finite element for linear analysis of arbitrarily curved arches
• A new hybrid F.E. model for arbitrarily curved beam—I. Linear analysis
• Stiffness matrix of parabolic beam element
• Simple and efficient shear flexible two‐node arch/beam and four‐node cylindrical shell/plate finite elements
• On curved finite elements for the analysis of circular arches
• Some Considerations on a Naturally Curved and Twisted Slender Beam

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