基于敏感性的冗余度在框架结构优化设计中的应用

Application of redundancy in design optimization of frame structure based on sensitivity

为了进一步阐明框架结构的性能特点,优化结构设计,笔者设计了基于敏感性分析的冗余指标,得出了梁、柱单元的冗余分布状况,结果显示冗余分布存在较大差距且低冗余构件周围易发生连续性倒塌。通过调整构件尺寸,优化冗余分布,使框架结构达到较均衡的冗余度分布,进而确保框架结构最大可能地发挥承载能力。最后通过建立结构整体冗余度指标,从结构整体上验证了结构设计优化的有效性。

To further clarify the performance of the frame structure and optimize the structural design, the redundancy index based on sensitivity is built to analyze the redundancy distribution of beam and column elements in frame structure. The results show that a large gap in the redundancy distribution and the low-level redundant components are prone to continuous collapse. In the paper, the size of the structure elements was optimized, the redundancy of the elements was redistributed to achieve a more balanced redundancy distribution and ensure the load capacity of structure. Finally, the total redundancy index was built to verify the frame structural design optimization.