✦ LIBER ✦

EQUILIBRIUM BASED ITERATIVE SOLUTIONS FOR THE NON-LINEAR BEAM PROBLEM

✍ Scribed by MARCO PETRANGELI; VINCENZO CIAMPI

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 174 KB
Volume: 40
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19970215)40:3<423::aid-nme72>3.0.co;2-h

No coin nor oath required. For personal study only.

✦ Synopsis

The paper describes a procedure for the non-linear analysis of structures which are an assemblage of beams with material non-linearities of general type; the approach uses the equilibrium integrals and a consistent iterative formulation at the element level, within the general framework of the displacement method for the solution of the global structural problem. The application of di erent approaches to the non-linear beam problem is presented and discussed including the traditional sti ness and exibility approach and some mixed formulations. The proposed equilibrium-based approach is shown to be more accurate and more robust than the traditional compatibility-based approach, on which most of the non-linear beam elements available today are based. Similar advantages are also found with respect to an approach based on the three-ÿeld mixed assumed strain method.

📜 SIMILAR VOLUMES

A PROCEDURE FOR THE OPTIMAL SYNTHESIS OF

A PROCEDURE FOR THE OPTIMAL SYNTHESIS OF PLANAR MECHANISMS BASED ON NON-LINEAR POSITION PROBLEMS

✍ RAFAEL AVILÉS; M. B. GOIZALDE AJURIA; JAVIER VALLEJO; ALFONSO HERNÁNDEZ 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 293 KB 👁 1 views

The present paper describes a procedure for the optimal dimensional synthesis of mechanisms which is based on the solution of non-linear position problems. Planar mechanisms are modelled very easily by means of finite elements of bi-hinged rod type. The judicious choice of constraint conditions make

Enhanced solution control for physically

Enhanced solution control for physically and geometrically non-linear problems. Part I—the subplane control approach

✍ M. G. D. Geers 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 282 KB 👁 1 views

Geometrically or physically non-linear problems are often characterized by the presence of critical points with snapping behaviour in the structural response. These structural or material instabilities usually lead to ine ciency of standard numerical solution techniques. Special numerical procedures

On Large Solutions for the Quasistatic P

On Large Solutions for the Quasistatic Problem in Non-linear Viscoelasticity with the Constitutive Equations of Bodner–Partom

✍ Krzysztof Chełmiński 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 362 KB 👁 1 views

## Communicated by A. Piskorek This work proves global in time existence of large solutions for a quasistatic problem in non-linear viscoelasticity in the three-dimensional case. The basic idea is to apply the energy method for local in time solutions.

Numerical method for the solution of non

Numerical method for the solution of non-linear two-dimensional inverse heat conduction problem using unstructured meshes

✍ Piotr Duda; Jan Taler 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 217 KB 👁 2 views

A new method of solving multidimensional heat conduction problems is formulated. The developed space marching method allows to determine quickly and exactly unsteady temperature distributions in the construction elements of irregular geometry. The method which is based on temperature measurements at