Shakedown Analysis of Composite Steel-Concrete Frame Systems with Plastic and Brittle Elements Under Seismic Action
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University of Zielona Gora, Zielona Góra, Poland
RUP “Instytut BelNIIS”, Minsk, Belarus
Online publication date: 2017-06-26
Publication date: 2017-06-01
Civil and Environmental Engineering Reports 2017;25(2):11–23
In this paper the earthquake analysis of composite steel-concrete frames is performed by finding solution of the optimization problem of shakedown analysis, which takes into account the nonlinear properties of materials. The constructions are equipped with systems bearing structures of various elastic-plastic and brittle elements absorbing energy of seismic actions. A mathematical model of this problem is presented on the base of limit analysis theory with partial redistribution of self-stressed internal forces. It is assumed that the load varies randomly within the specified limits. These limits are determined by the possible direction and magnitude of seismic loads. The illustrative example of such analysis of system is introduced. Some attention has been paid to the practical application of the proposed mathematical model.
Minasian A.V.: Bearing capacity reserves of seismic-protected systems in terms of energy viewpoint, in: Actual problems of research on the theory of structures: Proceedings of the International Conference, (Vol. 1), Moscow, TSNIISK of V.A. Kucherenko, 2009, 270-276.
Eurocode 8: Design of structures for earthquake resistance. Part 1: General rules, seismic actions and rules for buildings, Brussels, European Committe for standardizations, 2004.
Skalomenos K. A., Hatzigeorgiou G. D., Beskos D. E. 2014. Modeling level selection for seismic analysis of concrete-filled steel tube/moment-resisting frames by using fragility curves. Earthquake Engineering & Structural Dynamics. John Wiley & Sons, Ltd., 44(2): 199–220.
Aliawdin, P.W. 2005. Limit Analysis of Structures Under Variable Loads. Minsk: Technoprint. (In Russian).
Atkociunas, J. 2011. Optimal shakedown design of elastic-plastic structures. Vilnius: Technika.
Cyras, A. 1983. Mathematical Models for the Analysis and Optimization of Elastoplastic Structures. Chichester: Ellis Horwood Limited.
Fadaee, M. J., Saffari, H., Tabatabaei, R. 2008. Shear effects in shakedown analysis of offshore structures. Journal of Ocean University of China. 7(2): 177-183.
König, J.A. 1987. Shakedown of Elastic-plastic Structures. Amsterdam: Elsevier.
Leonetti, L., R. Casciaro & G. Garcea. 2015. Effective treatment of complex statical and dynamical load combinations within shakedown analysis of 3D frames. Comput. & Struct., 158: 124-139.
Nguyen, Q.S. 2006. Min-max duality and shakedown theorems in plasticity. In: Alart, P., Maisonneuve, O., Rockafellar, R.T. (eds.) Nonsmooth Mechanics and Analysis: Theoretical and Numerical Advances. US: Springer.
Weichert, D., Ponter A. 2009. Limit States of Materials and Structures. Wien: Springer.
Tangaramvong, S., F. Tin-Loi, D. Wu & W. Gao. 2013. Mathematical programming approaches for obtaining sharp collapse load bounds in interval limit analysis, Comput. & Struct. 125: 114-126.
Weichert, D., Maier, G. 2002. Inelastic Behavior of Structures under Variable Repeated Loads. Wien: Springer-Verlag.
Borino, G. 2014. Shakedown Under Thermomechanical Loads. In: Hetnarski R.B. (eds.) Encyclopedia of Thermal Stresses. Netherlands: Springer.
Zongyuan, Z., Baofeng, G., Yinxiao, L., Miao, J., Shiyan, Z. 2015. Shakedown criterion employing actual residual stress field and its application in numerical shakedown analysis. Chinese Journal of Mechanical Engineering. 28(5): 919-927.
Alawdin, P., Bulanov, G. 2014. Shakedown of composite frames taking into account plastic and brittle fracture of elements. Civ. Environ. Eng. Rep. 15(4): 5-21.
Alawdin, P., Muzychkin, Y. 2011. Limit analysis of structures with destructible elements under impact loadings. Engineering Transactions. 59(3): 139-159.
Dem’anov V.F., Stavroulakis G.E., Polyakova L.N., Panagiotopoulos P.D. 1996. Quasidiffer-entiability and Nonsmooth Modelling in Mechanics, Engineering and Economics / Non-convex Optimization and Its Applications, (Vol. 10), Kluwer Academic Publishers, Dordecht/Boston/London.
Eurocode 0: Basis of structural design, Brussels, European Committe for standardizations, 2002.
CSI Analysis Reference Manual For SAP2000, 2011. ETABS, SAFE and CSiBridge, USA, Berkley, Computers and Structures, Inc..
Fib Model Code 2010, International Federation for Structural Concrete, 2012.
Eurocode 4: Design of composite steel and concrete structures for. Part 1-1: General rules and rules for buildings, Brussels, European Committe for standardizations 2005.
Caltrans Seismic Design Criteria, Version 1.7, Caltrans, 2013.
Eurocode 2: Design of concrete structures. Part 1-1: General rules and rules for buildings, Brussels, European Committe for standardizations, 2004.