| 基于改进萤火虫算法的有限元模型修正 |
| |
| 引用本文： | 刘纲,陈奇,雷振博,熊军. 基于改进萤火虫算法的有限元模型修正[J]. 工程力学, 2022, 39(7): 1-9. DOI: 10.6052/j.issn.1000-4750.2021.04.0271 |
| |
| 作者姓名： | 刘纲 陈奇 雷振博 熊军 |
| |
| 作者单位： | 山地城镇建设与新技术教育部重点实验室(重庆大学),重庆400045;重庆大学土木工程学院,重庆400045;重庆大学土木工程学院,重庆400045;中铁十一局集团第五工程有限公司,重庆400037 |
| |
| 基金项目： | 国家重点研发计划项目(2021YFF0306302)； |
| |
| 摘 要： | 针对标准萤火虫算法后期收敛速度慢、收敛精度低、易陷入局部最优解的问题，提出了参数自适应策略的改进萤火虫算法，建立了基于改进萤火虫算法的有限元模型修正方法。通过隔代随机吸引度因子扩大了算法搜索路径，提升了算法遍历性，避免计算陷入局部最优；通过自适应步长因子使得算法寻优过程中能随迭代次数逐渐减少随机搜索范围，从而提高收敛速度。单、多峰测试函数计算结果表明，改进算法显著提高了收敛速率与收敛精度；简支梁数值算例与某刚构桥实桥有限元模型修正结果表明，简支梁参数最大误差由初始的66.7%降低至修正后的1.08%，刚构桥频率最大误差由14.47%降低至3.25%。所提方法具有良好的更新精度，适用于大型复杂结构的有限元模型修正。
|
| 关 键 词： | 有限元模型 模型修正 萤火虫算法 自适应参数 函数优化 |
| 收稿时间： | 2021-04-10 |
FINITE ELEMENT MODEL UPDATING METHOD BASED ON IMPROVED FIREFLY ALGORITHM |
| |
| Affiliation: | 1.The Key Laboratory of New Technology for Construction of Cities in Mountain Area of the Ministry of Education (Chongqing University), Chongqing 400045, China2.School of Civil Engineering, Chongqing University, Chongqing 400045, China3.The 5th Engineering Co. Ltd. of China Railway 11th Bureau Group, Chongqing 400037, China |
| |
| Abstract: | To solve the problems of slow convergence, of the low accuracy and of easily falling into local optimal solution of the standard firefly algorithm, an improved firefly algorithm with parameter adaptive strategy is proposed, and a finite element model updating method based on this improved firefly algorithm is established. An alternate generation random attraction factor is introduced to expand a search path, thus the ergodicity of the standard algorithm is improved, and result will no longer trapped in the local optimum. Furthermore, the adaptive step size factor is developed to reduce the random search range gradually with iteration in the updating process, so as to speed the convergence. The calculation results of single peak and multi peak test functions show that the improved algorithm significantly improves the convergence rate and accuracy. The numerical example of simply supported beam and the finite element model modification results of a real continuous rigid frame bridge show that: the maximum error of parameters of simply supported beam is reduced from 66.7% to 1.08% after modification, and the maximum frequency error of the continuous rigid frame bridge is reduced from 14.47% to 3.25%. The proposed method has good updating accuracy and is suitable for finite element model modification of large and complex structures. |
| |
| Keywords: | |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《工程力学》浏览原始摘要信息 |
|
点击此处可从《工程力学》下载免费的PDF全文 |
|
