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拟牛顿法求解堆石坝结构非线性方程
引用本文:冀春楼 林益才. 拟牛顿法求解堆石坝结构非线性方程[J]. 河海大学学报(自然科学版), 1995, 23(4): 77-84
作者姓名:冀春楼 林益才
作者单位:Ji Chunlou; Xia Songyou(Inst.of Water Resources and Hydroelectric Power Hohai Univ);Lin Yicai (Dept.of Hydro-power Engineering,Hohai Univ)
摘    要:探讨了求解堆石坝结构非线性方程的拟牛顿法,详细阐明了拟牛顿法在堆石坝结构分析中的实施过程,并编制了相应的三维非线性有限元分析程序,将拟牛顿法在中点增量法同时用于实例计算,表明拟牛顿法收敛速度较快且数值稳定性好,优越于中点增量法。

关 键 词:拟牛顿法 非线性方程 堆石坝 计算

Application of Quasi-Newton Method to Nonlinear FEM Equation of Rockfill Dams
Ji Chunlou, Xia Songyou. Application of Quasi-Newton Method to Nonlinear FEM Equation of Rockfill Dams[J]. Journal of Hohai University (Natural Sciences ), 1995, 23(4): 77-84
Authors:Ji Chunlou   Xia Songyou
Abstract:he quasi-Newton method,one of solving methods for noninear FEM equation of rockfill dams,is discussed and the practive process of quasi-Newton method in stucture analysis of rockfill dams is also described in detail.A corresponding FEM program for 3-D material nonlinear analysis is developed,Stress and strain of a rockfill dam are calculated by both the quasi-Newton method and the middle point incremental method. Through comparision and analysis, the conclution is drawn that the quasi-Newton method is better than the middle point incremental method.The calculating process shows that quasi-Newton method has better convergence rate and numerical stability and is one of the most successful nonlinear solving methods.
Keywords:quasi-Newton method nonlinear equation rockfill dams  
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