The Effect of Element Types on Force Analogy Method Analysis
DOI:
https://doi.org/10.5614/j.eng.technol.sci.2017.49.6.6Keywords:
earthquake, Euler-Bernoulli, FAM, nonlinear, Timoshenko.Abstract
In this study, the seismic performance of a 2D portal frame subjected to the recorded seismic ground motions of the Northridge 1994 earthquake was evaluated by the force analogy method (FAM) with different element types. To increase the accuracy of FAM, Timoshenko (TS) elements were employed instead of the classical Euler Bernoulli (EB) elements, to revert the shear deformations that are neglected in EB elements. To perform evaluation, the same material and section properties were considered and the same portal frame was analyzed with different element lengths, from 0.5 to 7.0 m in 0.5 m steps.Downloads
References
Lin, T.H., Theory of Inelastic Structures, John Wiley & Sons, New York, NY, USA, 1968. "
Hart, G.C. & Wong, K., Structural Dynamics for Structural Engineers, John Wiley and Sons, 2000. "
Li, G. & Wong, K.K., Theory of Nonlinear Structural Analysis, John Wiley & Sons, Singapore Pte. Ltd., Chi Chester, UK, 2014. "
Qu, J-T. & Li, H-N., Study on Optimal Placement and Reasonable Number of Viscoelastic Dampers by Improved Weight Coefficient Method, Mathematical Problems in Engineering, 2013, Article ID 358709, 10 p., 2013. "
Zhang, Y., Seismic Performance Assessment of Offshore Reinforced Concrete Bridges Using the Force Analogy Method, International Journal of Structural Stability and Dynamics, 16(5) 1550012, 18 p., 2016. "
Wong, K.K.F. & Wang, Y., Energy-based Design of Structures Using modified force analogy method, The Structural Design of Tall and Special Buildings, 12(5), pp. 393-407, 2003. "
Wong, K.K.F. & Wang, Z., Seismic Analysis of Inelastic Moment-resisting Frames Part I: Modified Force Analogy Method for End Offsets, The Structural Design of Tall and Special Buildings, 16(3), pp. 267-282, 2007.
Wong, K.K.F. & Yang, R., Inelastic Dynamic Response of Structures using Force Analogy Method, Journal of Engineering Mechanics, 125(10), pp. 1190-1199, 1999. "
Wong, K.K.F. & Yang, R., Earthquake Response and Energy Evaluation of Inelastic Structures, Journal of Engineering Mechanics, 128, pp. 308-317, 2002. "
Zhao, D. & Wong, K.K., New Approach for Seismic Nonlinear Analysis of Inelastic Framed Structures, Journal of Engineering Mechanics, 132(9), pp. 959-966, 2006. "
Chao, S.H. & Loh, C.H., Inelastic response analysis of reinforced concrete structures using modified force analogy method, Earthquake Engineering & Structural Dynamics Structural Dynamics, 36(12), pp. 1659-1683, 2007.
Li, G., Fahnestock, A.L. & Li, H-N., Simulation of Steel Brace Hysteretic Response using the Force Analogy Method, Journal of Structural Engineering, 139(4), pp. 526-536, 2013. "
Li, G., Zhang, Y. & Li, H-N., Nonlinear Seismic Analysis of Reinforced Concrete Bridges Using the Force Analogy Method, Journal of Bridge Engineering, 20(10), pp. 04014111, 2014. "
Li, G. Zhang, Y. & Li, H-N., Seismic Damage Analysis of Reinforced Concrete Frame Using the Force Analogy Method, Journal of Engineering Mechanics, 139(12), pp. 1780-1789, 2013. "
Li, G. Zhang, Y. & Li, H-N., Nonlinear Seismic Analysis of Reinforced Concrete Frames using the Force Analogy Method, Earthquake Engineering & Structural Dynamics, 43(14), pp. 2115-2134, 2014. "
Li, G., Li, H-N. & Zhang, Y., Displacement Estimation of Nonlinear Structures Using the Force Analogy Method, Structural Design of Tall and Special Buildings, 24, pp. 59-72, 2015. "
Chuan-guo, Y., Chun-guang, L. & Chun-xu, X., Application of Force analogy Method in Seismic Response of Structures, Journal of Water Resources and Architectural Engineering, 3(3), pp. 72-75, 2014. "
Villaverde, R., Simplified Response - Spectrum Seismic Analysis of Nonlinear Structures, Journal of Engineering Mechanics, 122(3), pp. 282-285, 1996. "
Li, G. & Li, H-N., Seismic Response Analysis of Structure with Energy Dissipation Devices Using Force Analogy Method, The Structural Design of Tall and Special Buildings, 20, pp. 291-313, 2011. "
Clough, R.W., On the Importance of Higher Modes of Vibration in the Earthquake Response of a Tall Building, Bulletin of the Seismological Society of America, 45(4), pp. 289-301, 1955. "
Luo, Y., An Efficient 3D Timoshenko Beam Element Homogeneous Euler-Lagrangian Equations Governing 3D Timoshenko Beam, 1(3), pp. 95-106, 2008. "
Wang, T.M. & Kinsman, T.A., Vibrations of frame structures According to the Timoshenko Theory, Journal of Sound and Vibration, 14(2), 215-227, 1971. "
Jafari, V., Vahdani, S. & Rahimian, M., Derivation of the Consistent Flexibility Matrix for Geometrically Nonlinear Timoshenko Frame Finite Element, Finite Elements in Analysis and Design, 46(12), pp. 1077-1085, 2010. "
Kounadis, A.N., Dynamic Snap-through Buckling of a Timoshenko Two Bar Frame under a Suddenly Applied Load, Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), 59(10), pp. 523-531, 1979. "
Pavan Kumara, B. & Murigendrappa, S.M., Theoretical and Numerical Studies on In-Plane Free Vibration of Two-Member Timoshenko Frame with Open "Crack, National Conference on Advances in Mechanical Engineering Science (NCAMES), pp. 237-243, 2016.
Dragovic ́, V. & Gajic ́, B., Some Recent Generalizations of the Classical "Rigid Body Systems, Arnold Mathematical Journal, 2(4), pp. 511-578, 2016.
Wang, R. & Jeng, J., Dynamic Analysis of a t Type Timoshenko Frame to a Moving Load using Finite Element Method, Journal of the Chinese Institute of Engineers, 19 (3), pp. 409-416, 1996.
.png){kind=logo}
