MODIFIED SOLUTION STRATEGY OF FRAMED STRUCTURES FOR GEOMETRICALLY NONLINEAR ANALYSIS
three phases are essential to the incrementaliterative analysis of elastically nonlinear structures,which generally followed in sequence: predictor,corrector and error-checking phases. The predictor phase included an assemblage of structural stiffness and the calculation of the incremental displacements,the corrector phase is to calculate the nodal forces,and the error-checking phase is to calculate the unbalanced forces and to update the configuration. In this paper,a modified solution strategy is presented for an elastically framed structure undergoing large displacements and large rotations. In predictor phase,by virtue of the rotational matrix for a rotational vector,three orthogonal vectors which rigidly attached a cross section were determined; using the central displacements and the vectors of cross-sectional principal axes,the displacements and strains for any point on a cross section were accurately determined. Applying the principle of virtual work,interpolating by the cubic Hermite spline,the tangent stiffness matrix was obtained. In the corrector phase,a corotational formulation is used for the recovery of the nodal forces with natural displacements,and it is derived in a corotational configuration which is rigidly moved by the last calculated the configuration in equilibrium. In each incremental load,the geometrical update of the elements are implemented before the incremental displacements are resolved,then the local element-end displacements corresponding to the corotational configuration were obtained; utilizing the stiffness matrix in a corotational configuration is employed to calculate the incremental element-end forces. Several classical numerical examples verified the accuracy and the efficiency of the present solution strategy.
Frame Geometric nonlinearity Load-deflection analysis
Nian-Wen Zhang Gen-Shu Tong Jian-Chun Mu
College of Civil Engineering and Architecture,Maoming University, Maoming 525000,P.R.china Department of Civil Engineering,Zhejiang University,Hangzhou 310027,P.R.China College of Civil Engineering and Architecture, Maoming University,Maoming 525000,P.R.china
国际会议
The Eleventh International Symposium on Structural Engineering(第十一届结构工程国际研讨会)
广州
英文
53-62
2010-12-01（万方平台首次上网日期，不代表论文的发表时间）