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针对目前结构非线性分析中最常用的力法非线性梁柱单元模型,从理论上分析出了能消除其计算失真问题的合理单元长度及对应积分点数量。然后基于OpenSees有限元程序,使用该理论分析结果建立了一组单墩循环推倒试验的数值分析模型,通过加载点力-位移滞回曲线的对比分析和墩底截面曲率滞回曲线的对比分析验证了理论结果的正确性。结果表明:使用力法非线性梁柱单元模型进行结构的非线性数值分析时,其单元长度划分应根据积分点数量确定,确定原则应基于使单元屈服后变形增长的分布长度与塑性铰长度相等进行计算;在实际使用中,可利用等效塑性铰长度计算积分点数量与单元长度的关系,初步确定单元划分的合理长度;在保证单元长度与积分点数量的对应关系前提下,力法非线性单元的积分点数量越多,计算结果越稳定。
Aiming at the most commonly used non-linear beam-column element model in nonlinear analysis of structures, the reasonable unit length and the corresponding integral point number which can eliminate the calculation distortion problem are theoretically analyzed. Based on the OpenSees finite element program, a set of numerical analysis models of single-pier cyclic collapse test are established based on the theoretical analysis. The comparative analysis of the point force-displacement hysteresis curve and the curvature hysteretic curve of the pier bottom section are validated The correctness of the theoretical results. The results show that when the nonlinear beam-column element model is used to analyze the structure nonlinearity, the element length should be determined according to the number of integration points. The principle of determination should be based on that the distribution length of deformation growth after yielding is equal to the length of plastic hinge In actual use, the equivalent plastic hinge length can be used to calculate the number of integration points and the relationship between the length of the unit to determine the initial reasonable length of the unit; to ensure the unit length and the number of points under the premise of the corresponding relationship, The more linear units have more integration points, the more stable the calculation results.