Transfer Matrix Analysis for Curved Beam Structure


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The curved beam structure such as pipe system has been widely used in industrial plants or power stations. In this study, the reduction technique of stiffness matrix, which is refered to “transfer matrix method (TM)“, is developed to solve effectively the problem. For achieving the purpose, the transfer matrix Fk to transfer deformation, rotation, force and moment from node i to node i+1, which are named for both edges in k-th beam element, is formulated. The global transfer matrix is then constructed by multiplying as R(θk+1,k)·Fk···R(θ2,1)·F1···R(θk+1,k) is the coordinate rotation matrix. The efficiency and simplicity of this method is demonstrated by solving the problem of a curved pipe line with elbow which is subjected to external forces and displacements. The results are compared with those obtained by FEM.



Edited by:

Luis Rodríguez-Tembleque, Jaime Domínguez and Ferri M.H. Aliabadi




S. Kuroda et al., "Transfer Matrix Analysis for Curved Beam Structure", Key Engineering Materials, Vol. 774, pp. 131-136, 2018

Online since:

August 2018




[1] M. Murata, T. Kuboki, K. Takahashi, M. Goodarzi and Y. Jin: Journal of Materials Processing Technology 201 (2008), pp.189-192.

[2] M. Goodarzi, T. Kuboki, M. Murata: Journal of Materials Processing Technology 162-163 (2005), pp.492-497.

[3] Andrew Robertson, Hongjun Li and Donald Mackenzie: International Journal of Pressure Vessels and Piping Vol. 82 (2005), pp.407-416.

[4] Hashem M. Mourad, Maher Y. A. Younan: Journal of Pressure Vessel Technology Vol. 124 (2002), pp.32-37.

[5] J. Chattopadhyay, W. Venkatramana, B. K. Dutta and H. D. Kushwaha: Transactions of the 15thInternathional Conferece on Structural Mechanics in Reactor Technology.