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基于性能的设计需要考虑结构及构件在地震荷载作用下的非线性反应,基于柔度法的分布塑性梁柱单元模型可以用较少的单元得到较为准确的结果,也可以很方便地处理因混凝土应变软化带来的变形局部化问题。但这种计算模型在处理局部变形时,若直接根据数值积分求解,计算结果与实际结果偏差较大,而且会出现随着积分点的增加,偏差越大的反常现象。该文分析了产生这一现象的数学力学原因,通过在单元的截面层次上将变形分离为弹性变形和塑性变形,对单元的塑性变形指定塑性区长度,得到了合理的解答。
The performance-based design needs to consider the nonlinear response of structures and components under the action of seismic loads. The distributed plastic beam-column element model based on the flexibility method can obtain more accurate results with fewer elements and can also be used to easily process concrete- Deformation localization caused by strain softening. However, when dealing with the local deformation, this calculation model is directly solved according to the numerical integration, the calculation result deviates from the actual result greatly, and the abnormal phenomenon that the deviation increases with the integral point increases. This paper analyzes the machanical mechanics of this phenomenon. By dividing deformation into elastic deformation and plastic deformation at the cross-section of the unit, the plastic zone length is given to the plastic deformation of the unit and a reasonable solution is obtained.