Author/Authors
sahin, abdurrahman yıldız technical university - faculty of civil engineering - department of civil engineering, Turkey
Title Of Article
Matrix Method Development for Structural Analysis of Euler Bernoulli Beams with Finite Difference Method
شماره ركورد
27824
Abstract
The behaviors of structural systems are generally described with ordinary or partial differential equations. Finite Difference Method (FDM) mainly replaces the derivatives in the differential equations by finite difference approximations. It can be said that finite difference formulation offers a more direct approach to the numerical solution of partial differential equations. In this study, matrix approach is proposed for structural analysis with FDM. The system analysis procedure including stiffness matrix development, applying boundary and loading conditions on a structural element is proposed. The interacting points group is determined depending on the differential equations of the structural element and system rigidity matrix is generated by using this dynamic points group. The proposed algorithms are developed for Euler Bernoulli beams in this study because of its simplicity and may be enhanced for any other structural system in future studies by using same steps.
From Page
693
NaturalLanguageKeyword
Finite difference Method , Matrix Methods , Structural Analysis , Euler Bernoulli Beams , Matlab
JournalTitle
Afyon Kocatepe University Journal Of Science and Engineering
To Page
710
JournalTitle
Afyon Kocatepe University Journal Of Science and Engineering
Link To Document