基于嵌入分数维的树种算法的结构质量刚度识别  

Structural mass and stiffness damage identification based on TSA with fractional dimension embedded

作　　者：赵一霖[1] 刘济科[1] 丁政豪 吕中荣[1] ZHAO Yilin, LIU Jike, DING Zhenghao, LU Zhongrong(School of Engineering, Sun Yat-sen University, Guangzhou 510006, China)

机构地区：[1]中山大学工学院,广州510006

出　　处：《振动与冲击》2018年第15期246-250,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金(1117233;11272361);广东省自然科学基金(2015A030313126);广东省科技计划项目(2016A020223006)

摘　　要：采用改进的树种算法对结构进行质量和刚度的识别。基于加速度响应参数建立起目标函数,再利用融入分数维机制的树种算法(TSA)对于结构损伤进行反演。树种算法是一种新型的元启发式算法,具有结构简单,便于执行的特点。为了进一步改善算法的优化能力,引入一个全新的搜索阶段‘树的搜索’,在该阶段中引入分数维模型来改进算法后期的收敛能力,进入树种阶段,通过两种新的搜索模式来平衡此阶段的局部搜索和全局搜索能力。采用桁架结构作为数值算例进而得到识别结果。最终表明,在仅知道有限的时域参数,该算法能够有效地识别损伤参数,优于其他进化算法并且对测量噪声不敏感。A modified tree seeds algorithm（ TSA） was proposed to solve structural stiffness and mass damage identification problems. Firstly,a structure ＇s acceleration response parameters were used to establish an objective function,and then the TSA with fractional dimension embedded was used to do inversion of the structure＇s damages. TSA was a heuristic algorithm with a simple structure and easy to implement. In order to further improve its optimization capacity,a fully new search stage named ＂ search with tree＂ was introduced. In this stage,a fractional dimension model was introduced to improve the convergence ability in later of TSA. After entering tree seeds stage,two new search modes were used to balance the local search ability and the global search one. A truss structure was taken as a numerical example to obtain its identification results. The results showed that the proposed method can effectively identify a structure ＇s damage parameters if only limited time domain parameters are known; it is superior to other algorithms and not sensitive to measuring noise.

关 键 词：树种算法(TSA) 刚度 桁架结构 分数维 时域参数 

分 类 号：O39[理学—工程力学]