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广义位移控制法在动力稳定问题中的应用
Application of General Displacement Controlling Method in Dynamic Stability Problems
【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.
【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.
【Key words】 General stiffness parameter; Nonlinear dynamic instability; Snap-through points; Multiple critical points; Load parameter increment;
- 【文献出处】 同济大学学报(自然科学版) ,JOURNAL OF TONGJI UNIVERSITY , 编辑部邮箱 ,1998年06期
- 【分类号】TU311
- 【被引频次】32
- 【下载频次】268