๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Non-linear analysis of thin-walled members of open cross-section

โœ Scribed by H. R. Ronagh; M. A. Bradford

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
175 KB
Volume
46
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

โœฆ Synopsis

The paper presents a means of determining the non-linear sti!ness matrices from expressions for the "rst and second variation of the Total Potential of a thin-walled open section "nite element that lead to non-linear sti!ness equations. These non-linear equations can be solved for moderate to large displacements. The variations of the Total Potential have been developed elsewhere by the authors, and their contribution to the various non-linear matrices is stated herein. It is shown that the method of solution of the non-linear sti!ness matrices is problem dependent. The "nite element procedure is used to study non-linear torsion that illustrates torsional hardening, and the Newton}Raphson method is deployed for this study. However, it is shown that this solution strategy is unsuitable for the second example, namely that of the post-buckling response of a cantilever, and a direct iteration method is described. The good agreement for both of these problems with the work of independent researchers validates the non-linear "nite element method of analysis.

๐Ÿ“œ SIMILAR VOLUMES

Effects of approximations in analyses of
Effects of approximations in analyses of beams of open thin-walled cross-sectionโ€”part II: 3-D non-linear behaviour
โœ Y.-L. Pi; M. A. Bradford ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 167 KB

## Abstract In a companion paper, the effects of approximations in the flexuralโ€torsional stability analysis of beams was studied, and it was shown that a secondโ€order rotation matrix was sufficiently accurate for a flexuralโ€torsional stability analysis. However, the secondโ€order rotation matrix is

Effect of shear lag on buckling of thin-
Effect of shear lag on buckling of thin-walled members with any cross-section
โœ Wang, Quanfeng ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 120 KB ๐Ÿ‘ 1 views

The purpose of this paper is to develop a general method, called the spline ยฎnite member element method, for predicting the eect of shearing strains in the middle surface of the walls on the buckling of thin-walled members with any cross-section because the classical theory of thin-walled members is

Study of warping torsion of thin-walled
Study of warping torsion of thin-walled beams with open cross-section using macro-elements
โœ Sorin D. Musat; Bogdan I. Epureanu ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 141 KB

Thin-walled beams with open cross-section under torsion or complex load are studied based on the hypotheses of the classical theory (Vlasov). Di erent from previous techniques presented in the literature, the concept of a strip-plate is introduced. This concept is used to accurately model the e ect

DYNAMIC STIFFNESS ANALYSIS FOR TORSIONAL
DYNAMIC STIFFNESS ANALYSIS FOR TORSIONAL VIBRATION OF CONTINUOUS BEAMS WITH THIN-WALLED CROSS-SECTION
โœ Y. MATSUI; T. HAYASHIKAWA ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 279 KB

An analytical method for determining natural frequencies and mode shapes of the torsional vibration of continuous beams with thin-walled cross-section is developed by using a general solution of the di!erential equation of motion based on Vlasov's beam theory. This method takes into account the e!ec