AN APPLICATION OF THE MODIFIED FINITE ELEMENT TRANSFER MATRIX METHOD FOR A HEAT TRANSFER PROBLEM

Kanat Burak Bozdoğan; Farshid Khosravı Malekı

doi:10.34186/klujes.564004

AN APPLICATION OF THE MODIFIED FINITE ELEMENT TRANSFER MATRIX METHOD FOR A HEAT TRANSFER PROBLEM

Öz

The Transfer Matrix Method is an effective method which is used in mechanics and provides a great advantage especially in solving some mechanical problems. The most important advantage of the Transfer Matrix Method is reducing the dimensions of the matrix used in the analysis. The most important consequence of this is the saving the time.

In this study, firstly studies in recent years in relation with the Transfer Matrix Method have been briefly summarized. Then the Modified Finite Element Transfer Matrix Method is explained briefly. At the end of the study, the application of the Modified Finite Element Transfer Matrix Method to the heat transfer problem has been demonstrated.

Anahtar Kelimeler

Modified Finite element transfer matrix method,mechanics

Kaynakça

[1] Holzer, H. Analysis of Torsional Vibration, Springer, Berlin, 1921.
[2] Myklestad, N.O. New Method of Calculating Natural Modes of Coupled Bending-Torsion Vibration of Beams. Trans. ASME., 61-67.
[3] Thompson, W. T. Matrix Solution for The Vibration of Non-Uniform Beams. J. App. Mech .17(1950), 337–339.
[4] Thompson, W. T. Transmission of Elastic Waves Through a Stratified Solid Media, J. Appl. Phys. 21(1950),89-93
[5] Haskel, N.A. The Dispersion of Surface Waves on Multilayered Media. Bull. seism. Soc. Am. 43 (1953),17-34.
[6] Pestel, E.C., Leckie, F. A. Matrix Methods in Elastomechanics. New York: McGraw-Hill,1963.
[7] İnan, M. The Method of Initial Values and the Carry-over Matrix in Elastomechanics, Middle East Technical University,1968.
[8] Hoerner, G.C. The Rıccati Transfer Matrix Method. Ph.D. Thesis, University of virginia, Charlottesvile, VA.,1975.

[9] Dokanish, M.A. A New Approach for Plate Vibration: Combination of Transfer Matrix and Finite Element Technique. Trans. ASME J. Eng. Ind. 94(1972), 526-530.
[10] Mcdaniel, T. J., Eversole, K. B. A Combined Finite Element-Transfer Matrix Structural Analysis Method.J. Sound Vibr. 51(1977), 157-169.
[11] Ghiatti, G., Sestieri, A. Analysis of Static and Dynamic Structural Problems by a Combined Finite Element-Transfer Matrix Method. J. Sound Vibr. 67 (1979),35-42.
[12] Ohga, M., Shigematsu, T., Hara, T. (1984) A Combined Finite Element-Transfer Matrix Method. J. Engng Mech.Div., Am. Sot. Ciu. Engrs 110(1984), 1335-1349.
[13] Degen, E.E., Shepbhard, M.S., Loewy, R.G. Combined Finite Element-Transfer Matrix Method Based on a Finite Mixed Formulation. Comput. Struct., 20(1985), 173-180.
[14] Chen, Y. H., Xue, H. Y. Dynamic Large Deflection Analysis of Structures by a Combined Finite Element Riccati Transfer Matrix Method on a Microcomputer. Comput. Struct. 39(1991), No 6., 699–703.
[15] Xue, H.Y. A Combined Dynamic Finite Element-Ricatti Transfer Matrix Method for Solving Non-Linear Eigenproblems of Vibrations. Comp. Struct., 53(1994), No.6, 1257-1261.
[16] Yuhua, C. Large Deflection Analysis of Structures by an Improved Combined Finite Element-Transfer Matrix Method. Comput Struct 55(1995), 167–171.
[17] Bhutani, N., Loewy, R.G. Combined Finite Element-Transfer Matrix Method. J. Sound Vib., 226 (1999), No.5,1048-1052.
[18] Alimonti, L.,Atalla,N.,Sgard,F. Assessment of a hybrid finite element-transfer matrix model for flat structures with homogeneous acoustic treatments. J Acoust Soc Am.135(2014), No.5,2694-2705.
[19] Fan ,S.,Barber,J.R. Solution of Periodic Heating Problems by the Transfer Matrix Method.Heat and Mass Trans. 45(2002),1155-1158.
([20] Choi, M.S. Free Vibration Analysis of Plate Structures Using Finite Element Transfer Stiffness Coefficient Method. J. Mech. Sci. Tech., 17(2003), No. (6), 805-815.
[21] RUI, X., WANG, G., LU, Y. Transfer Matrix Method for Linear Multibody System. Multibody Syst. Dyn. 19(2008), No.3,179-207.
[22] Rong, B., Rui, X.T., Wang, G.P. Modified Finite Element Transfer Matrix Method for Eigenvalue Problem of Flexible Structures. J. Appl. Mech., ASCE, 78(2011), No.2, 021016.
[23] He, B., Rui, X., Zhang, H. Transfer Matrix Method for Natural Vibration Analysis of Tree System. Math. Prob. Eng, Article ID 393204, 19 pages, 2012.
[24] Ozturk, D., Bozdogan, K., Nuhoglu, A. Modified Finite Element-Transfer Matrix Method for The Static Analysis of Structures. Struct. Eng. Mech., 43(2012), No.6, 761-769.
[25] Ozturk, D., Bozdogan, K. B. A Method for Determination of the Fundamental Period of Layered Soil Profiles. J Appl.Comp.Mech.3(2017),No.4,267-273.
[26] Demirkan, E.,Artan R.Buckling Analysis of Nanobeams Based on Nonlocal Timoshenko Beam Model by the Method of Initial Values, Int J Struct Stab Dy, 19(2019), No.3, 17 p.
[27] Xu, P., Jiang, G. Calculation of Natural Frequencies of Retaining Walls Using the Transfer Matrix Method. Adv. Civ Eng.(2019), Article ID 2156475, 8 pages.
[28] Kang, S.,Nanfang, J., Han, K., Shen, X., Wang, W. Theoretical modelling of periodic graphene structures. Physica B Condens Matter.563 (2019), No.15,36-40.
[29] Reddy, J.N. An Introduction to The Fınite Element Method,3, McGraw-Hill, New York, 2005.
[30] Abaqus, Dassault Systemes Simulia Corp, Providence (2014)

Ayrıntılar

Birincil Dil

Türkçe

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Kanat Burak Bozdoğan ^*
0000-0001-7528-2418
Türkiye

Farshid Khosravı Malekı Bu kişi benim
0000-0002-8866-114X

Yayımlanma Tarihi

30 Haziran 2019

Gönderilme Tarihi

13 Mayıs 2019

Kabul Tarihi

25 Haziran 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 5 Sayı: 1

DOI

https://doi.org/10.34186/klujes.564004

IZ

https://izlik.org/JA45KA63HH

Kaynak Göster

RIS / Bibtex

APA

Bozdoğan, K. B., & Khosravı Malekı, F. (2019). AN APPLICATION OF THE MODIFIED FINITE ELEMENT TRANSFER MATRIX METHOD FOR A HEAT TRANSFER PROBLEM. Kirklareli University Journal of Engineering and Science, 5(1), 15-28. https://doi.org/10.34186/klujes.564004

AMA

1.Bozdoğan KB, Khosravı Malekı F. AN APPLICATION OF THE MODIFIED FINITE ELEMENT TRANSFER MATRIX METHOD FOR A HEAT TRANSFER PROBLEM. KLUJES. 2019;5(1):15-28. doi:10.34186/klujes.564004

Chicago

Bozdoğan, Kanat Burak, ve Farshid Khosravı Malekı. 2019. “AN APPLICATION OF THE MODIFIED FINITE ELEMENT TRANSFER MATRIX METHOD FOR A HEAT TRANSFER PROBLEM”. Kirklareli University Journal of Engineering and Science 5 (1): 15-28. https://doi.org/10.34186/klujes.564004.

EndNote

Bozdoğan KB, Khosravı Malekı F (01 Haziran 2019) AN APPLICATION OF THE MODIFIED FINITE ELEMENT TRANSFER MATRIX METHOD FOR A HEAT TRANSFER PROBLEM. Kirklareli University Journal of Engineering and Science 5 1 15–28.

IEEE

[1]K. B. Bozdoğan ve F. Khosravı Malekı, “AN APPLICATION OF THE MODIFIED FINITE ELEMENT TRANSFER MATRIX METHOD FOR A HEAT TRANSFER PROBLEM”, KLUJES, c. 5, sy 1, ss. 15–28, Haz. 2019, doi: 10.34186/klujes.564004.

ISNAD

Bozdoğan, Kanat Burak - Khosravı Malekı, Farshid. “AN APPLICATION OF THE MODIFIED FINITE ELEMENT TRANSFER MATRIX METHOD FOR A HEAT TRANSFER PROBLEM”. Kirklareli University Journal of Engineering and Science 5/1 (01 Haziran 2019): 15-28. https://doi.org/10.34186/klujes.564004.

JAMA

1.Bozdoğan KB, Khosravı Malekı F. AN APPLICATION OF THE MODIFIED FINITE ELEMENT TRANSFER MATRIX METHOD FOR A HEAT TRANSFER PROBLEM. KLUJES. 2019;5:15–28.

MLA

Bozdoğan, Kanat Burak, ve Farshid Khosravı Malekı. “AN APPLICATION OF THE MODIFIED FINITE ELEMENT TRANSFER MATRIX METHOD FOR A HEAT TRANSFER PROBLEM”. Kirklareli University Journal of Engineering and Science, c. 5, sy 1, Haziran 2019, ss. 15-28, doi:10.34186/klujes.564004.

Vancouver

1.Kanat Burak Bozdoğan, Farshid Khosravı Malekı. AN APPLICATION OF THE MODIFIED FINITE ELEMENT TRANSFER MATRIX METHOD FOR A HEAT TRANSFER PROBLEM. KLUJES. 01 Haziran 2019;5(1):15-28. doi:10.34186/klujes.564004

Cited By

Stability Analysis of Nanobeams by Modified Finıie Element Transfer Matrix Method

El-Cezeri Fen ve Mühendislik Dergisi

https://doi.org/10.31202/ecjse.892876

SLOPE DEFLECTION TRANSFER MATRIX METHOD FOR CONTINOUS BEAMS

Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi

https://doi.org/10.34186/klujes.1184109