摘要
针对进行损伤非线性分析时,传统增量迭代算法会产生无法消除的漂移误差,提出了一种精确的增量迭代算法:正割刚度-附加载荷法。该算法采用正割刚度矩阵和附加荷载建立其增量平衡方程,再将增量平衡方程与弧长法相结合的一种迭代算法。研究结果表明:正割刚度-附加载荷法可以精确地捕捉到结构的真实平衡路径,有效地校正了漂移误差。
To solve the problem that drift error cannot be eliminated by the traditional incrementaliterative algorithm in nonlinear damage analysis,an accurate incremental-iterative algorithm namely secant stiffness-additional load method(SSALM)is proposed.In the method,the incremental equilibrium equation is established by using the secant stiffness matrixand additional load in the algorithm.Then,a new incremental-iterative algorithm is establishedcombining the incremental equilibrium equation with the arc-length approach.The results indicate that the SSALM can accurately capture the real equilibrium path of structure and effectively correct the drift error.
作者
赵冰
宋文浩
陈健
彭晖
彭旭龙
ZHAO Bing;SONG Wen-hao;CHEN Jian;PENG Hui;PENG Xu-long(School of Civil Engineering,Changsha University of Science&Technology,Changsha 410114,China)
出处
《交通科学与工程》
2020年第3期37-42,共6页
Journal of Transport Science and Engineering
关键词
损伤分析
漂移误差
增量迭代算法
正割刚度
附加荷载
damage analysis
drift error
incremental-iterative algorithm
secant stiffness
additional load
