VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION

ÇALLIĞLU, Hasan; Demir, Ersin; YILMAZ, YASIN; SAYER, METİN

VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION

Hasan ÇALLIOĞLU, (Pamukkale University)

Ersin DEMİR, (Pamukkale University)

Yasin YILMAZ, (Pamukkale University)

Metin SAYER (Pamukkale University)

Mathematical and Computational Applications

6 1

Yıl: 2013 Cilt: 18 Sayı: 3 Sayfa Aralığı: 351 - 360 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION

Öz:

In this study, free vibration behavior of a multilayered symmetric sandwich beam made of Functionally Graded Material (FGM) with variable cross-section is investigated. The elasticity and density of the Functionally Graded (FG) sandwich beam vary through the thickness according to the power and exponential laws by using mixture rules and laminate theory. In order to provide this, fifty layered beam is considered. Each layer is isotropic and homogeneous although the volume fractions of the constituents of the layers are different. Furthermore, the width of the beam varies exponentially along the length of the beam with rectangular cross-section. The natural frequencies are computed for conventional boundary conditions of the FG sandwich beam using theoretical procedure. The effects of material index, geometric index and slenderness ratio are also discussed. Finally, the obtained results are compared with those in literature and a finite element based commercial program ANSYS® and found to be consistent with each other.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

TRDizin Dışındaki Atıf Sayıları

OpenCitations: 0

OpenAlex: 0

Crossref: 0

1. B. V. Sankar, An elasticity solution for functionally graded beams, Composites Science and Technology 61(5), 689-696, 2001
.2. H. Çallioğlu, M. Sayer and E. Demir, Stress analysis of functionally graded discs under mechanical and thermal loads, Indian Journal of Engineering and Materials Sciences 18(2), 111-118, 2011.
3. Z. Zhong and T. Yu, Analytical solution of a cantilever functionally graded beam, Composites Science and Technology 67(3-4), 481-488, 2007.
4. A. H. Baferani, A. R. Saidi and E. Jomehzadeh, An exact solution for free vibration of thin functionally graded rectangular plates, Proceedings of The Institution Of Mechanical Engineers Part C-Journal of Mechanical Engineering Science 225(C3), 526-536, 2011.
5. M. Aydogdu and V. Taskin, Free vibration analysis of functionally graded beams with simply supported edges, Materials & Design 28(5), 1651-1656, 2007.
6. M. Aydogdu, Semi-inverse method for vibration and buckling of axially functionally graded beams, Journal of Reinforced Plastics and Composites 27(7), 683-691, 2008.
7. S. C. Pradhan and T. Murmu, Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method, Journal of Sound and Vibration 321(1-2), 342-362, 2009.
8. Y. Bedjilili, A. Tounsi, H. M. Berrabah, et al. Natural frequencies of composite beams with a variable fiber volume fraction including rotary inertia and shear deformation, Applied Mathematics and Mechanics-English Edition 30(6), 717-726, 2009.
9. J. Murín, M. Aminbaghai and V. Kutis, Exact solution of the bending vibration problem of FGM beams with variation of material properties, Engineering Structures 32(6), 1631-1640, 2010.
10. A. Mahi, E. A. A. Bedia, A. Tounsi, et al., An analytical method for temperaturedependent free vibration analysis of functionally graded beams with general boundary conditions, Composite Structures 92(8), 1877-1887, 2010.
11. M. C. Ece, M. Aydogdu and V. Taskin, Vibration of a variable cross-section beam, Mechanics Research Communications 34(1), 78-84, 2007.
12. H. A. Atmane, A. Tounsi, S. A. Meftah, et al. Free vibration behavior of exponential functionally graded beams with varying cross-section, Journal of Vibration and Control 17(2), 311-318, 2011.
13. E. T. Cranch and A. A. Adler, Bending vibration of variable section beams, Asme Journal of Applied Mechanics 23(1), 103-108, 1956.
14. D. Caruntu, On nonlinear vibration of nonuniform beam with rectangular crosssection and parabolic thickness variation, Solid Mechanics and Its Applications 73, 109- 118, 1999.
15. A. K. Datta and S. N. Sil, An analysis of free undamped vibration of beams of varying cross-section, Computers & Structures 59(3), 479-483, 1996.
16. P. A. A. Laura, R. H. Gutierrez and R. E. Rossi, Free vibration of beams of bilinearly
17. R. F. Gibson, Principles of composite material mechanics, McGraw-Hill, Singapore, 1994.
18. X. Tong, B. Tabarrok and K. Y. Yeh. Vibration analysis of Timoshenko beams with non-homogeneity and varying cross-section, Journal of Sound and Vibration 186(5), 821-835, 1995.

APA	ÇALLIĞLU H, Demir E, YILMAZ Y, SAYER M (2013). VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION. , 351 - 360.
Chicago	ÇALLIĞLU Hasan,Demir Ersin,YILMAZ YASIN,SAYER METİN VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION. (2013): 351 - 360.
MLA	ÇALLIĞLU Hasan,Demir Ersin,YILMAZ YASIN,SAYER METİN VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION. , 2013, ss.351 - 360.
AMA	ÇALLIĞLU H,Demir E,YILMAZ Y,SAYER M VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION. . 2013; 351 - 360.
Vancouver	ÇALLIĞLU H,Demir E,YILMAZ Y,SAYER M VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION. . 2013; 351 - 360.
IEEE	ÇALLIĞLU H,Demir E,YILMAZ Y,SAYER M "VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION." , ss.351 - 360, 2013.
ISNAD	ÇALLIĞLU, Hasan vd. "VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION". (2013), 351-360.

APA	ÇALLIĞLU H, Demir E, YILMAZ Y, SAYER M (2013). VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION. Mathematical and Computational Applications, 18(3), 351 - 360.
Chicago	ÇALLIĞLU Hasan,Demir Ersin,YILMAZ YASIN,SAYER METİN VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION. Mathematical and Computational Applications 18, no.3 (2013): 351 - 360.
MLA	ÇALLIĞLU Hasan,Demir Ersin,YILMAZ YASIN,SAYER METİN VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION. Mathematical and Computational Applications, vol.18, no.3, 2013, ss.351 - 360.
AMA	ÇALLIĞLU H,Demir E,YILMAZ Y,SAYER M VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION. Mathematical and Computational Applications. 2013; 18(3): 351 - 360.
Vancouver	ÇALLIĞLU H,Demir E,YILMAZ Y,SAYER M VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION. Mathematical and Computational Applications. 2013; 18(3): 351 - 360.
IEEE	ÇALLIĞLU H,Demir E,YILMAZ Y,SAYER M "VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION." Mathematical and Computational Applications, 18, ss.351 - 360, 2013.
ISNAD	ÇALLIĞLU, Hasan vd. "VIBRATION ANALYSIS OF FUNCTIONALLY GRADED SANDWICH BEAM WITH VARIABLE CROSS-SECTION". Mathematical and Computational Applications 18/3 (2013), 351-360.