(1. College of Civil Engineering, Hunan Univ, Changsha, Hunan410082, China; 2. School of Civil Engineering and Architecture, Changsha Univ of Science and Technology, Changsha, Hunan410076, China) 在知网中查找 在百度中查找 在本站中查找
Multiple assumptions and approximations in nonlinearity analysis models of existing reinforced concrete beam element result in low calculation efficiency and low calculation accuracy. In this paper, based on co-rotational procedure, a numerical model for a given section considering material and geometrical nonlinear analysis of reinforced concrete beam element was developed. Firstly, by means of virtual work, a tangent stiffness matrix for the material nonlinearity of perfectly-bonded reinforced concrete beam element was derived in co-rotational coordinate system. Then, by building total and incremental relationships derived from differential equations of nodal displacements and forces between global coordinate system and co-rotational coordinate system, respectively, tangent stiffness in global coordinate system reinforced concrete beam element was developed by considering geometric and material nonlinearity. A comparison between the results in this paper and those from existing references has demonstrated that the algorithm developed is highly efficient and accurate with many advantages, such as non-cumulative calculation errors and reduction in computation.