Matrix Method Development for Structural Analysis of Euler Bernoulli Beams with Finite Difference Method

Yıl 2016, Cilt: 16 Sayı: 3, 693 - 710, 31.12.2016

Abdurrahman Sahin

Öz

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.

Anahtar Kelimeler

Finite difference Method, Matrix Methods, Structural Analysis, Euler Bernoulli Beams, Matlab

Kaynakça

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