Abstract
Language | English |
---|---|
Number of pages | 24 |
Journal | Mathematics and Mechanics of Solids |
Early online date | 2 Sep 2017 |
DOIs | |
Publication status | E-pub ahead of print - 2 Sep 2017 |
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Keywords
- Euler-Bernoulli beam
- peridynamic framework
- Euler-Lagrange equations
- boundary conditions
- 3-dimensional geometry
Cite this
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An Euler-Bernoulli beam formulation in ordinary state-based peridynamic framework. / Diyaroglu, Cagan; Oterkus, Erkan; Oterkus, Selda.
In: Mathematics and Mechanics of Solids, 02.09.2017.Research output: Contribution to journal › Article
TY - JOUR
T1 - An Euler-Bernoulli beam formulation in ordinary state-based peridynamic framework
AU - Diyaroglu, Cagan
AU - Oterkus, Erkan
AU - Oterkus, Selda
PY - 2017/9/2
Y1 - 2017/9/2
N2 - Every object in the world has a 3-Dimensional geometrical shape and it is usually possible to model structures in a 3-Dimensional fashion although this approach can be computationally expensive. In order to reduce computational time, the 3-Dimensional geometry can be simplified as a beam, plate or shell type of structure depending on the geometry and loading. This simplification should also be accurately reflected in the formulation which is used for the analysis. In this study, such an approach is presented by developing an Euler-Bernoulli beam formulation within ordinary-state based peridynamic framework. The equation of motion is obtained by utilizing Euler-Lagrange equations. The accuracy of the formulation is validated by considering various benchmark problems subjected to different loading and displacement/rotation boundary conditions.
AB - Every object in the world has a 3-Dimensional geometrical shape and it is usually possible to model structures in a 3-Dimensional fashion although this approach can be computationally expensive. In order to reduce computational time, the 3-Dimensional geometry can be simplified as a beam, plate or shell type of structure depending on the geometry and loading. This simplification should also be accurately reflected in the formulation which is used for the analysis. In this study, such an approach is presented by developing an Euler-Bernoulli beam formulation within ordinary-state based peridynamic framework. The equation of motion is obtained by utilizing Euler-Lagrange equations. The accuracy of the formulation is validated by considering various benchmark problems subjected to different loading and displacement/rotation boundary conditions.
KW - Euler-Bernoulli beam
KW - peridynamic framework
KW - Euler-Lagrange equations
KW - boundary conditions
KW - 3-dimensional geometry
UR - http://journals.sagepub.com/home/mms
U2 - 10.1177/1081286517728424
DO - 10.1177/1081286517728424
M3 - Article
JO - Mathematics and Mechanics of Solids
T2 - Mathematics and Mechanics of Solids
JF - Mathematics and Mechanics of Solids
SN - 1081-2865
ER -