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广义位移控制法在动力稳定问题中的应用
引用本文:李忠学,沈祖炎.广义位移控制法在动力稳定问题中的应用[J].同济大学学报(自然科学版),1998,26(6):609-612.
作者姓名:李忠学  沈祖炎
作者单位:同济大学建筑工程系!上海,200092
基金项目:国家自然科学基金!59578002,土木工程防灾国家重点实验室联合资助
摘    要:利用线性加速度假定消去结构非线性动力平衡方程中的微分项.在动力平衡路径跟踪过程中,以比例加载的形式,对所有荷载分量进行同步动态调整,考虑到强非线性结构在临界屈曲状态时可能有多个临界点和平衡路径可能反跳,而引入广义刚度参数对荷载参数增量的步长和符号进行自动控制,并通过广义刚度参数对结构的动力稳定性进行判定.通过算例分析验证了这一算法的有效性.

关 键 词:广义刚度参数  非线性动力失稳  反跳点  多临界点  荷载参数增量

Application of General Displacement Controlling Method in Dynamic Stability Problems
Li Zhongxue, Shen Zuyan, Deng Changgen.Application of General Displacement Controlling Method in Dynamic Stability Problems[J].Journal of Tongji University(Natural Science),1998,26(6):609-612.
Authors:Li Zhongxue  Shen Zuyan  Deng Changgen
Abstract:In this Paper, the differential terms are improved in nonlinear dynamic differential equations via linear acceleration assumption. All load compoents are dyndrically adjusted at the same scale coefficient in tracing dynamic equilibrium Path. Considering the Possibility of existing multiple critical points and snap - back points in strong noulinear structures at critical state, general stiffness parameter is used to control the load increment parameter's scale and its sign's modfication automatically, and the dynamic stability was also justified via this parameter. Finally, examples are given to demontrate the methed's applicability and reliability.
Keywords:General stiffness parameter  Nonlinear dynamic instability  Snap-through points  Multiple critical points  Load parameter increment
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