- Title:
- Research on nonlinear static analysis of RC beams by shooting method
- Author:
Hongwei Hou, Huanxi Gao
- Author Affiliation:
Zhejiang Province Construction Engineering Quality Inspection Station Ltd., Hangzhou, 310012, P.R. China
School of Maritime and Civil Engeering, Zhejiang Ocean University, Zhoushan, 316004, P.R. China
[1] Park R., Paulay T. Reinforced concrete structures. New York: John Wiley & Sons,1974.
[2] Anthoine A., Guedes J., Pegon P.. Non-linear behaviour of reinforced concrete beams: from 3D continuum to 1D member modelling. Computers and Structures,1997, 65(6): 949-963.
[3] Reddy J.N. An introduction to nonlinear finite element analysis. Oxford: Oxford University Press,2005.
[4] Bathe K.J. Finite element procedures. New Jersey: Prentice-Hall, Inc.,1996. [5] Taucer F.F., Spacone E., Filippou F.C. A fiber beam-column element for seismic response analysis of reinforced concrete structures UCB/EERC-91/17. Berkeley: University of California, Berkeley,1991.
[6] Lobo R.S. RC fiber beam-column model with bond-slip in the vicinity of interior joints. Engineering Structures, 2015,96: 78-87.
[7] Li C., Li Z. Study on elastic-plastic finite element analysis based on section fiber beam-column elements. Building Structure, 2007, 37(12): 33-35.
[8] Li N., Li Z., Xie L. A fiber-section model based Timoshenko beam element using shear-bending interdependent shape function. Earthquake Engineering and Engineering Vibration, 2013, 12(3): 421-432.
[9] Nie J.G., Wang Y.H. Development and application of steel-concrete composite fiber beam model in ABAQUS platform. Engineering mechanics, 2012, 29(1): 70-80. (in Chinese)
[10] Jiang J., Usmani A. Modeling of steel frame structures in fire using OpenSees. Computers and Structures, 2013, 118(March): 90-99.
[11] Zhou L.Y., Li T.M., Li Q. Nonlinear beam element with meshed sections. Journal of Southwest Jiaotong University, 2009, 44(5): 726-731. (in Chinese) [12] Roberts S.M., Shipman J.S. Two-Point Boundary value Problems: Shooting Methods. Elsevier, New York, 1972.
[13] Burden R.L., Faires J.D. Numerical Analysis: 4th ed. Pacific Grove: Brooks/Cole, 1988.
[14] Sun Y., Yu Y., Liu B. A simple and accurate numeric solution procedure for nonlinear buckling model of drill string with frictional effect. Journal of Petroleum Science and Engineering, 2015, 128: 44-52.
[15] Akhavan H., Ribeiro P. Non-linear forced periodic oscillations of laminates with curved fibres by the shooting method. International Journal of Non-Linear Mechanics, 2015, 76(November): 176-189.
[16] Yang X., He G.H. Nonlinear analysis of single pile-soil system in lateral spreading liquefied soil. Rock and Soil Mechanics, 2012, 33(7): 2189-2195. (in Chinese)
[17] Timoshenko S., Goodier J.N. Theory of elasticity. New York: McGraw-Hill Book Company, Inc., 1951.
[18] Lao D.Z. Fundamentals of the calculus of variations (second edition). Beijing: National Defend Industry Press, 2007. (in Chinese)
[19] Han S.M., Benaroya H., Wei T. Dynamics of transversely vibrating beams using four engineering theories. Journal of Sound and Vibration,1999, 225(5): 935-988. [20] Cao Z.G. Static analysis of reinforced concrete beam using the differential quadrature method. Chinese Quarterly of Mechanics, 2015, 36(4): 749-756. (in Chinese)
[21] Ye J.S., Li G.P. Principles of structure design (second edition). Beijing: China Communications Press, 2005. (in Chinese)
[22] GB50010-2010, Code for design of concrete structures. (in Chinese)