结构试验测点的二维优化布置-工程力学.PDF

第 26 卷第 5 期 Vol.26 No.5 工 程 力 学 2009 年 5 月 May 2009 ENGINEERING MECHANICS 153 文章编号：1000-4750(2009)05-0153-06 结构试验测点的二维优化布置 *李正农，胡尚瑜，李秋胜 (湖南大学建筑安全与节能教育部重点实验室，湖南，长沙 410082) 摘 要：基于组合原理对结构二维变形状况的测点布置方法进行了研究，提出了结构测点的二维优化布置方法。 首先通过对结构测点进行二维双向组合，利用有限的已知相邻测点的响应值采用双线性插值方法估计未布置测点 的响应值，再通过建立在二维测点双向位移分量相似程度上的适应度函数优化测点组合方案，选取适应度函数值 最小的测点布置方案，从而实现传感器测点优化配置的目的。应用该方法对悬臂矩形板弯曲变形实测进行了测点 优化布置，组合优化数值结果验证了该方法的可行性和有效性。 关键词：二维测点布置；结构变形；组合优化；双线性插值；悬臂矩形板 中图分类号：TU317 文献标识码：A OPTIMAL TWO-DIMENSIONAL LAYOUT OF MEASURING POINTS FOR STRUCTURAL EXPERIMENTS * LI Zheng-nong , HU Shang-yu , LI Qiu-sheng (Ministry of Education Key Laboratory of Building Safety and Energy Efficiency, Hunan University, Changsha, Hunan 410082, China) Abstract: The paper provides a methodology for the optimal sensor location of two-dimensional components of structure based on combinatorial optimization principle. Firstly, the measuared two-dimensional displacement components are combined, so the response at unmeasured locations can be predicted by the information from these measured points using bilinear interpolation. Secondly, fitness functions of the optimal sensor location are adopted to optimize sensor locations by checking if the total errors of the predited responses are minimized. Finally, this proposed method is applied to designing the optimal locations for measuring the asymmetric bending deformation of a cantilever rectangular plate. The combinatorial optimization results prove the feasibility and validity of proposed method. Key words: two-dimensional measuring point arrangemen