Finite element method for prestressed concrete plane frame structures

作者：Lou Tie Jiong^*; Xiang Yi Qiang; Guo Yi Mu

来源：Chinese Journal of Computational Mechanics, 2005, 22(6): 801-804.

• Frame structures
• Geometrical nonlinearity
• Material nonlinearity
• Nonlinear response

A numerical model based on the finite element method for the material and geometrical nonlinear analysis of prestressed concrete plane frame structures with arbitrary section is developed, which is capable of simulating the entire-range nonlinear response of those structures such as prestressed concrete large-span beams, slender columns under uniaxial bending, and so on. An excellent sectional model suggested by Rodriguez and Aristizabal is revised and utilized to determine the sectional tangent stiffness. The section is divided into several trapezoids according to sectional vertices. Sectional forces, i.e. axial force and bending moment, contributed by the concrete are obtained through integrating trapezoids one by one. On this basis, the standard finite element formulae are derived using the traditional nonlinear plane frame element. The element tangent stiffness matrix derived in this paper consists of three different sub-matrices accounting for material nonlinearity, material and geometrical nonlinearities, and secondary moments caused by axial force associating with structural deformation, respectively. Two numerical examples are given to verify the reliability and validity of the proposed model.

• 出版日期2005
• 单位浙江大学