拱结构动力稳定实用判别方法
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摘要
在总结和借鉴已有动力稳定判别准则的基础上,提出了两种拱结构动力稳定性分析的实用判别方法。方法1通过提取发生最大位移响应时刻的刚度矩阵的特征根符号来判断,方法2通过荷载-位移曲线的斜率变化来判断。通过对不同荷载类型、不同计算条件下拱结构的动力失稳特征的分析对比,指出结构整体刚度矩阵出现负的特征值是结构失稳的必要条件,可依此判断结构动力失稳临界荷载的下限值,位移时程曲线发散、性质发生改变或发生跳跃,荷载-位移曲线出现不规则现象,是拱结构动力失稳的重要判断依据。
Two practical criteria of dynamic stability for an arch structure are proposed on the basis of summarizing the existing dynamic stability criteria.The first mothod judges the stability by the signs of eigenvalue of whole stiffness matrix at the moment of maximum displacement response.The second mothod judges the stability by the tangent variation of load-displacement curve.By means of comparing the characteristic of dynamic instability of an arch structure under various kinds of loading and computational conditions,It is indicated that negative eigenvalue appearing in structure whole stiffness matrix means that the structure is in the case of instability and the lower limit of critical load of structure dynamical instability may be estimated.That the displacement time-history curve diverges,alters in qualities,leaps or the load-dispalcement curve becomes abnormal can be the basis of structure dynamical instability.
引文
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