Advanced Steel Construction

Vol. 13, No. 3, pp. 258-272 (2017)


CONCURRENT MULTI-SCALE MODELING OF A

TRANSMISSION TOWER STRUCTURE AND ITS

EXPERIMENTAL VERIFICATION

 

F.Y. Wang*, Y.L. Xu and S. Zhan

Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong

*(Corresponding author: E-mail:This email address is being protected from spambots. You need JavaScript enabled to view it.)

Received: 16 February 2016; Revised: 21 June 2016; Accepted: 3 September 2016

  

 

DOI:10.18057/IJASC.2017.13.3.4

 

View Article   Export Citation: Plain Text | RIS | Endnote

ABSTRACT

The interruption of electrical service due to failure of transmission tower structures can have devastating economic and social consequences. The current method for analyzing transmission tower structures is often to treat the angle members of the tower as either pin-ended truss elements or fix-ended beam elements. This approach ignores the effects of joint flexibility, local geometric and material nonlinearity, bolt slippage and deformation, making the structural analysis and design of the tower inadequate. In an effort to improve the structural analysis of transmission tower structures, this study aims at developing a multi-scale modeling method for transmission tower structures, in which critical joints of the tower are modeled using solid elements in a great detail while other members are modeled with common beam elements. The critical joint model includes gusset plates, angle members and bolts. The effects of local geometric and material nonlinearity and the contact problem between the bolts, plates and angles are all taken into consideration. New multi-point constraints for beam-to-solid connections at interface developed by the authors are used to couple the critical local joint model with the beam elements to form a multi-scale model of the tower. To verify the multi-scale modeling method, a physical model of a transmission tower structure was constructed and tested. The displacement and strain response of the tower model measured from the static tests are compared with the numerical results. The dynamic characteristics of the tower model identified from the dynamic tests are also compared with the numerical results. The comparative results show that the multi-scale modeling method is feasible and accurate for simultaneously predicting both global and local responses as well as estimating dynamic characteristics of the transmission tower structure.

 

KEYWORDS

Multi-scale modeling, transmission tower, bolted connection, new multi-point constraints, experiment, comparison


REFERENCES

[1] Albermani, F.G.A. and Kitipornchai, S., "Numerical Simulation of Structural Behaviour of Transmission Towers", Thin-walled Structures, 2003, Vol. 41, No. 2–3, pp. 167-177.

[2] Chan, S.L. and Cho, S.H., "Second-order Analysis and Design of Angle Trusses Part I: Elastic Analysis and Design", Engineering Structures, 2008, Vol. 30, No. 3, pp. 616-625.

[3] Rao, N.P., Knight, G.M.S., Lakshmanan, N. and Iyer, N.R., "Investigation of Transmission Line Tower Failures", Engineering Failure Analysis, 2010, Vol. 17, No. 5, pp. 1127-1141.

[4] Roy, S., Fang, S.J. and Rossow, E.C., "Secondary Stresses on Transmission Tower Structures", Journal Of Energy Engineering-Asce, 1984, Vol. 110, No. 2, pp. 157-172.

[5] Rao, N.P. and Kalyanaraman, V., "Non-linear Behaviour of Lattice Panel of Angle Towers", Journal of Constructional Steel Research, 2001, Vol. 57, No. 12, pp. 1337-1357.

[6] Jiang, W.Q., Wang, Z.Q., McClure, G., Wang, G.L. and Geng, J.D., "Accurate Modeling of Joint Effects in Lattice Transmission Towers", Engineering Structures, 2011, Vol. 33, No. 5, pp. 1817-1827.

[7] Kitipornchai, S., Albermani, F.G.A. and Peyrot, A.H., "Effect Of Bolt Slippage on Ultimate Behavior Of Lattice Structures", Journal Of Structural Engineering, 1994, Vol. 120, No. 8, pp. 2281-2287.

[8] Knight, G.M.S. and Santhakumar, A.R., "Joint Effects on Behavior Of Transmission Towers", Journal Of Structural Engineering, 1993, Vol. 119, No. 3, pp. 698-712.

[9] Xu, Y.L. and Zhang, W.S., "Modal analysis and seismic response of steel frames with connection dampers", Engineering Structures, 2001, Vol. 23, No. 4, pp. 385-396.

[10] Ungkurapinan, N., Chandrakeerthy, S.R.D., Rajapakse, R.K.N.D. and Yue, S.B., "Joint Slip in Steel Electric Transmission Towers", Engineering Structures, 2003, Vol. 25, No. 6, pp. 779-788.

[11] Cheng, J.J.R., Yam, M.C.H. and Hu, S.Z., "Elastic Buckling Strength Of Gusset Plate Connections", Journal of Structural Engineering, 1994, Vol. 120, No. 2, pp. 538-559.

[12] Rosenstrauch, P.L., Sanayei, M. and Brenner, B.R., "Capacity Analysis of Gusset Plate Connections using the Whitmore, Block Shear, Global Section Shear, and Finite Element Methods", Engineering Structures, 2013, Vol. 48, No. 1, pp. 543-557.

[13] Salih, E.L., Gardner, L. and Nethercot, D.A., "Bearing Failure in Stainless Steel Bolted Connections", Engineering Structures, 2011, Vol. 33, No. 2, pp. 549-562.

[14] Salih, E.L., Gardner, L. and Nethercot, D.A., "Numerical Study of Stainless Steel Gusset Plate Connections", Engineering Structures, 2013, Vol. 49, No. 1, pp. 448-464.

[15] Li, Z.X., Chan, T.H.T., Yu, Y. and Sun, Z.H., "Concurrent Multi-scale Modeling of Civil Infrastructures for Analyses on Structural Deterioration—Part I: Modeling Methodology and Strategy", Finite Elements in Analysis and Design, 2009, Vol. 45, No. 11, pp. 782-794.

[16] Dujc, J., Brank, B. and Ibrahimbegovic, A., "Multi-scale Computational Model for Failure Analysis of Metal Frames that Includes Softening and Local Buckling", Computer Methods in Applied Mechanics and Engineering, 2010, Vol. 199, No. 21–22, pp. 1371-1385.

[17] Li, Z.X., Zhou, T.Q., Chan, T.H.T. and Yu, Y., "Multi-scale Numerical Analysis on Dynamic Response and Local Damage in Long-span Bridges", Engineering Structures, 2007, Vol. 29, No. 7, pp. 1507-1524.

[18] Guidault, P.A. and Belytschko, T., "On the L2 and the H1 Couplings for An Overlapping Domain Decomposition Method using Lagrange Multipliers", International Journal for Numerical Methods in Engineering, 2007, Vol. 70, No. 3, pp. 322-350.

[19] Ben Dhia, H. and Rateau, G., "The Arlequin Method as a Flexible Engineering Design Tool", International Journal for Numerical Methods In Engineering, 2005, Vol. 62, No. 11, pp. 1442-1462.

[20] Xu, F., Hu, H., Potier-Ferry, M. and Belouettar, S., "Bridging Techniques in a Multi-scale Modeling of Pattern Formation", International Journal of Solids and Structures, 2014, Vol. 51, No. 18, pp. 3119-3134.

[21] Bauman, P.T., Dhia, H.B., Elkhodja, N., Oden, J.T. and Prudhomme, S., "On the Application of the Arlequin Method to the Coupling of Particle and Continuum Models", Computational Mechanics, 2008, Vol. 42, No. 4, pp. 511-530.

[22] Wellmann, C. and Wriggers, P., "A Two-scale Model of Granular Materials", Computer Methods in Applied Mechanics and Engineering, 2012, Vol. 205, No. 1, pp. 46-58.

[23] Cofer, W.F. and Will, K.M., "A Three-dimensional, Shell-solid Transition Element for General Nonlinear Analysis", Computers & Structures, 1991, Vol. 38, No. 4, pp. 449-462.

[24] Garusi, E. and Tralli, A., "A Hybrid Stress-assumed Transition Element for Solid-to-beam and Plate-to-beam Connections", Computers & Structures, 2002, Vol. 80, No. 2, pp. 105-115.

[25] Gmür, T.C. and Kauten, R.H., "Three-dimensional Solid-to-beam Transition Elements for Structural Dynamics Analysis", International Journal for Numerical Methods in Engineering, 1993, Vol. 36, No. 9, pp. 1429-1444.

[26] Chavan, K.S. and Wriggers, P., "Consistent Coupling of Beam and Shell Models for Thermo-elastic Analysis", International Journal for Numerical Methods in Engineering, 2004, Vol. 59, No. 14, pp. 1861-1878.

[27] Ho, R.J., Meguid, S.A., Zhu, Z.H. and Sauve, R.G., "Consistent Element Coupling in Nonlinear Static and Dynamic Analyses using Explicit Solvers", International Journal of Mechanics and Materials in Design, 2010, Vol. 6, No. 4, pp. 319-330.

[28] McCune, R.W., Armstrong, C.G. and Robinson, D.J., "Mixed-dimensional Coupling in Finite Element Models", International Journal For Numerical Methods In Engineering, 2000, Vol. 49, No. 6, pp. 725-750.

[29] Wang, J.L.W., Lou, Z.W., Min, X. and Zou, J.Z., "A DOF Expanding Method for Connecting Solid and Shell Element", Communications In Numerical Methods In Engineering, 1996, Vol. 12, No. 6, pp. 321-330.

[30] Wang, F.Y., Xu, Y.L. and Qu, W.L., "Mixed-dimensional Finite Element Coupling for Structural Multi-scale Simulation", Finite Elements in Analysis and Design, 2014, Vol. 92, No. 1, pp. 12-25.

[31] ANSYS, "User's Manual", ANSYS. Inc., 2010.