๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An accurate two-node finite element for shear deformable curved beams

โœ Scribed by Z. Friedman; J. B. Kosmatka

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
447 KB
Volume
41
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

โœฆ Synopsis

An accurate two-node (three degrees of freedom per node) finite element is developed for curved shear deformable beams. The element formulation is based on shape functions that satisfy the homogeneous form of the partial differential equations of motion which renders it free of shear and membrane locking. The element is demonstrated to converge to the results obtained from a shear deformable straight beam when the beam becomes shallower. Numerical examples were performed to demonstrate the accuracy and efficiency with respect to previously published formulations.

๐Ÿ“œ SIMILAR VOLUMES

A two-noded lockingโ€“free shear flexible
A two-noded lockingโ€“free shear flexible curved beam element
โœ P. Raveendranath; Gajbir Singh; B. Pradhan ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 160 KB

A new two-noded shear flexible curved beam element which is impervious to membrane and shear locking is proposed herein. The element with three degrees of freedom at each node is based on curvilinear deep shell theory. Starting with a cubic polynomial representation for radial displacement (w), the

Locking-free finite elements for shear d
Locking-free finite elements for shear deformable orthotropic thin-walled beams
โœ F. Minghini; N. Tullini; F. Laudiero ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 313 KB

## Abstract Numerical models for finite element analyses of assemblages of thinโ€walled openโ€section profiles are presented. The assumed kinematical model is based on Timoshenkoโ€“Reissner theory so as to take shear strain effects of nonโ€uniform bending and torsion into account. Hence, strain elasticโ€

STATIC AND DYNAMIC APPLICATIONS OF A FIV
STATIC AND DYNAMIC APPLICATIONS OF A FIVE NODED HORIZONTALLY CURVED BEAM ELEMENT WITH SHEAR DEFORMATION
โœ DIPAK SENGUPTA; SUMAN DASGUPTA ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 246 KB

A five-noded thirteen DOF horizontally curved beam element with or without an elastic base is presented. One set of fourth-degree Lagrangian polynomials in natural co-ordinates is used for interpolation of beam geometry and vertical displacement while the angles of transverse rotation and twist are