A NOVEL APPROACH FOR STATIC ANALYSIS OF PLANE FRAME SYSTEMS

This paper presents a novel approach for analyzing plane frame systems by using Finite Element Method. The topology matrices are used to analyze the system. The releases may be easily assigned to elements and any boundary conditions may be applied to the system. In analysis process, all frame elements are assumed as having rigid connections, even though elements have releases or not. Additional freedoms are added to the nodes to consider releases. The coordinate system of nodes can be changed and supports can be assigned with any angle. Additional freedoms and the coordinate system rotations of nodes are taken into account by using topology matrices. An educational program was developed to analyze frame systems by using proposed approach. A numerical example is taken into account to explain the analysis process. The results of numerical example have compared with SAP2000 structural analysis program and suitable results are obtained.

Keywords:

Finite element method, topology matrix static analysis, frame systems.,

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[1] O.C. Zienkiewicz, The Finite Element Method in Engineering Science, McGraw-Hill, London, 1977.
[2] Zienkiewicz, O.C.; Taylor, R.L.; Zhu, J.Z. The Finite Element Method: Its Basis and Fundamentals (Sixth ed.). Butterworth-Heinemann, 2005.
[3] Bathe, K.J. Finite Element Procedures. Cambridge, MA: Klaus-Jürgen Bathe, 2006.
[4] Cook, R.D.; Malkus D.S.; Plesha M.E.; Witt R.J, Concepts and Applications of Finite Element Analysis (Fourth ed.). Wiley, 2001.
[5] Kasımzade, A.A., Finite Element Method: Fundamentals and Application on Structural Mechanics (Language: Turkish), Birsen Yayınevi, 2004.
[6] Sahin, A., “Advanced Computer Programming for Structural and Earthquake Engineering”, Class Notes, Yıldız Technical University – Graduate School of Natural and Applied Sciences, 2013.
[7] Fu, F., Progressive collapse analysis of high-rise building with 3-D finite element modeling method, Journal of Constructional Steel Research 65, 1269–1278, 2009.
[8] Lu X., Lu X., Guan H., Zhang W., Ye L., Earthquake-induced collapse simulation of a super-tall mega-braced frame-core tube building, Journal of Constructional Steel Research 82, 59–71, 2013.
[9] Fu, F., 3-D nonlinear dynamic progressive collapse analysis of multi-storey steel composite frame buildings — Parametric study, Engineering Structures 32, 3974–3980, 2010.
[10] Wu C., Sheikh H., A ﬁnite element modelling to investigate the mitigation of blast effects on reinforced concrete panel using foam cladding, International Journal of Impact Engineering 55, 24-33, 2013.
[11] Sabuwala T., Linzell D., Krauthammer T., Finite element analysis of steel beam to column connections subjected to blast loads, International Journal of Impact Engineering 31, 861–876, 2005.
[12] Lin X, Zhang Y.X. and Hazell P. J., Modelling the response of reinforced concrete panels under blast loading, Materials and Design 56, 620 – 628, 2014.
[13] Jiapeng T., Ping X., Baoyuan Z.and Bifu H., A ﬁnite element parametric modeling technique of aircraft wing structures, Chinese Journal of Aeronautics, 26(5), 1202–1210, 2013.
[14] Guo H., Bastien C., Blundell M., Wood G., Development of a detailed aircraft tyre ﬁnite element model for safety assessment, Materials and Design 53, 902–909, 2014.
[15] Sadiq M., Yun Z.X., Rong P., Simulation analysis of impact tests of steel plate reinforced concrete and reinforced concrete slabs against aircraft impact and its validation with experimental results, Nuclear Engineering and Design 273, 653–667, 2014.
[16] Lee K., Han S.E., Hong J.W., Analysis of impact of large commercial aircraft on a prestressed containment building, Nuclear Engineering and Design 265, 431–449, 2013.
[17] Shabana A.A., Gantoi F. M., Brown M.A., Integration of finite element and multibody system algorithms for the analysis of human body motion, Procedia IUTAM 2, 233–240, 2011.
[18] MATLAB The Language of Technical Computing (R2010a), The MathWorks, Inc.
[19] SAP2000 Structural Analysis Program, Computers and Structures, Inc., 2009.

Sigma Mühendislik ve Fen Bilimleri Dergisi-Cover

ISSN: 1304-7191
Yayın Aralığı: Yılda 4 Sayı
Yayıncı: Yıldız Teknik Üniversitesi

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