Structural matrices of a curved-beam element

被引:2
|
作者
Gimena, F. N. [1 ]
Gonzaga, P. [1 ]
Gimena, L. [1 ]
机构
[1] Univ Publ Navarra, Dept Projects Engn, Navarra, Spain
关键词
curved beam; differential system; transfer matrix; stiffness matrix; numerical method; FINITE-ELEMENT; STIFFNESS MATRIX; LOADS; FORMULATION; ARCHES; BARS;
D O I
10.12989/sem.2009.33.3.307
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
This article presents the differential system that governs the mechanical behaviour of a curved-beam element, with varying cross-section area, subjected to generalized load. This system is solved by an exact procedure or by the application of a new numerical recurrence scheme relating the internal forces and displacements at the two end-points of an increase in its centroid-line. This solution has a transfer matrix structure. Both the stiffness matrix and the equivalent load vector are obtained arranging the transfer matrix. New structural matrices have been defined, which permit to determine directly the unknown values of internal forces and displacements at the two supported ends of the curved-beam element. Examples are included for verification.
引用
收藏
页码:307 / 323
页数:17
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