Research Article
Year 2017,
Volume: 7 Issue: 3
,
125
-
135
,
30.09.2017
Abstract
In this study, the post-buckling behavior of shells is investigated using 9-noded isoparametric shell
elements. Total Lagrangian approach is used in the formulation and shell material is assumed to be linearly elastic.
Non-linear equilibrium equations are solved by arc-length method. Various examples were analyzed to obtain postbuckling behavior of shells
Keywords
References
- Bathe KJ, 1996. Finite Element Procedures. Prentice-Hall: Englewood Cliffs, New Jersey.
- Crisfield MA, 1991. Non-linear Finite Element Analysis of Solids and Structures. Volume I, John Wiley and Sons, New York.
- Felippa CA, Haugen B, 2005. A unified formulation of small strain co-rotational finite elements: I. Theory, Computer Methods in Applied Mechanics and Engineering, 194: 2285-2335.
- Feng YT, Peric D, Owen DRJ, 1996. A New Criterion for Determination of Initial Loading Parameter in Arc-Length Methods. Computers and Structures, 58: 479-485.
- McNeal RH, 1998. Perspective on Finite Elements for Shell Analysis. Finite Elements in Analysis and Design, 30:175–186.
- Nuhoğlu A, 2005. Noktasal İterativ Yaklaşım ile Kablolu ve Kafes Sistemlerin Geometrik Nonlineer Analizi. Teknik Dergi, 16(76): 3425-3443.
- Parente E, Vaz LE, 2003. On Evaluation of Shape Sensitivities of Non-Linear Critical Loads. International Journal for Numerical Methods in Engineering, 56(6): 809-846.
- Polat C, 2006. Geometrik Bakımdan Lineer Olmayan Kabuk Yapıların Statik Ve Dinamik Davranışı. Doktora Tezi, Elazığ.
- Polat C, Calayır Y, 2010. Nonlinear Static and Dynamic Analysis of Shells of Revolution. Mechanics Research Communications, 37(2): 205-209.
- Polat C, Ulucan ZÇ, 2007. Geometrically Non-linear Analysis of Axisymmetric Plates and Shells. F. Ü. International Journal of Science & Technology, 2 (1): 33-40.
- Polat C, Calayır Y, 2007. Dikdörtgen Plakların Geometrik Bakımdan Lineer Olmayan Statik Analizi. F. Ü. Fen ve Mühendislik Bilimleri Dergisi, 19 (3): 357-362.
- Polat C, Calayır Y, 2007. Lineer Olmayan Yapı Sistemlerinin Analizi İçin Yay-Boyu Metodu. F. Ü. Fen ve Mühendislik Bilimleri Dergisi, 19 (4): 525-530.
- Reddy JN, 1997. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. 2nd edition, CRC Press, New York.
- Souza NEA, Feng YT, 1999. On the Determination of the Path Direction for Arc-Length Methods in the Presence of Bifurcations and `Snap-Backs'. Computer Methods in Applied Mechanics and Engineering, 179: 81-89.
- Zienkiewicz OC, Taylor RL, 2000. The finite element method: solid mechanics. Vol. 2, Butterworth-heinemann.
Year 2017,
Volume: 7 Issue: 3
,
125
-
135
,
30.09.2017
Abstract
Bu çalışmada, 9-düğümlü izoparametrik kabuk eleman kullanılarak kabukların burkulma ötesi davranışı
incelenmektedir. Formülasyonda toplam Lagrange yaklaşımı esas alınmakta ve malzeme lineer elastik kabul
edilmektedir. Lineer olmayan denge denklemleri yay-boyu metodu (arc-length method) ile çözülmektedir. Değişik
nümerik örnekler çözülerek kabukların burkulma ötesi davranışı elde edilmiştir
Keywords
References
- Bathe KJ, 1996. Finite Element Procedures. Prentice-Hall: Englewood Cliffs, New Jersey.
- Crisfield MA, 1991. Non-linear Finite Element Analysis of Solids and Structures. Volume I, John Wiley and Sons, New York.
- Felippa CA, Haugen B, 2005. A unified formulation of small strain co-rotational finite elements: I. Theory, Computer Methods in Applied Mechanics and Engineering, 194: 2285-2335.
- Feng YT, Peric D, Owen DRJ, 1996. A New Criterion for Determination of Initial Loading Parameter in Arc-Length Methods. Computers and Structures, 58: 479-485.
- McNeal RH, 1998. Perspective on Finite Elements for Shell Analysis. Finite Elements in Analysis and Design, 30:175–186.
- Nuhoğlu A, 2005. Noktasal İterativ Yaklaşım ile Kablolu ve Kafes Sistemlerin Geometrik Nonlineer Analizi. Teknik Dergi, 16(76): 3425-3443.
- Parente E, Vaz LE, 2003. On Evaluation of Shape Sensitivities of Non-Linear Critical Loads. International Journal for Numerical Methods in Engineering, 56(6): 809-846.
- Polat C, 2006. Geometrik Bakımdan Lineer Olmayan Kabuk Yapıların Statik Ve Dinamik Davranışı. Doktora Tezi, Elazığ.
- Polat C, Calayır Y, 2010. Nonlinear Static and Dynamic Analysis of Shells of Revolution. Mechanics Research Communications, 37(2): 205-209.
- Polat C, Ulucan ZÇ, 2007. Geometrically Non-linear Analysis of Axisymmetric Plates and Shells. F. Ü. International Journal of Science & Technology, 2 (1): 33-40.
- Polat C, Calayır Y, 2007. Dikdörtgen Plakların Geometrik Bakımdan Lineer Olmayan Statik Analizi. F. Ü. Fen ve Mühendislik Bilimleri Dergisi, 19 (3): 357-362.
- Polat C, Calayır Y, 2007. Lineer Olmayan Yapı Sistemlerinin Analizi İçin Yay-Boyu Metodu. F. Ü. Fen ve Mühendislik Bilimleri Dergisi, 19 (4): 525-530.
- Reddy JN, 1997. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. 2nd edition, CRC Press, New York.
- Souza NEA, Feng YT, 1999. On the Determination of the Path Direction for Arc-Length Methods in the Presence of Bifurcations and `Snap-Backs'. Computer Methods in Applied Mechanics and Engineering, 179: 81-89.
- Zienkiewicz OC, Taylor RL, 2000. The finite element method: solid mechanics. Vol. 2, Butterworth-heinemann.
There are 15 citations in total.
Details
| Primary Language | Turkish |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Submission Date | March 24, 2017 |
| Acceptance Date | May 19, 2017 |
| Publication Date | September 30, 2017 |
| IZ | https://izlik.org/JA24MW84YW |
| Published in Issue | Year 2017 Volume: 7 Issue: 3 |