通过反向有限元法在板块结构中的形状感知,通过传感器放置的多目标遗传优化和应变预推算来增强
Emiliano Del Priore1, Luca Lampani1
1Dipartimento di Ingegneria Meccanica e Aerospaziale, Sapienza Università di Roma, 00184 Rome, Italy.
Sensors (Basel, Switzerland)
|January 23, 2024
概括
本研究介绍了一种优化的传感器放置策略,用于使用逆有限元素方法 (iFEM) 和光滑元素分析 (SEA) 来感知形状. 这种方法显著提高了结构监测的准确性,使用更少的传感器.
科学领域:
- 结构健康监测 结构健康监测
- 计算力学 计算力学 计算力学
- 应用数学 应用数学 应用数学
背景情况:
- 实时形状传感可以使用现场应变传感器重建结构位移场.
- 反向有限元法 (iFEM) 是一种用于形状感应的强大工具.
- 平滑元件分析 (SEA) 通过从有限的传感器数据中推断应变场来增强iFEM.
研究的目的:
- 开发一种创新的传感器放置策略,以优化形状感知精度.
- 为了减少有效的结构监控所需的传感器数量.
- 为了提高iFEM的性能,当与板结构的SEA相结合时.
主要方法:
- 应用iFEM与SEA协同用于应变场预外推算.
- 使用多目标遗传算法 (NSGA-II) 开发传感器放置策略.
- 尽量减少根平均平方误差对于跨模式形状的预外推算的应变场.
- 通过数值案例研究验证矩形和方形悬臂板.
主要成果:
- 拟议的基于NSGA-II的传感器放置策略显著提高了形状感应的准确性.
- 优化的传感器放置导致与传统iFEM相比,更好的位移场重建.
- 结合iFEM-SEA方法与优化的传感器放置,证明了卓越的监控能力.
- 即使使用与传统方法相同数量的传感器,也观察到显著的改进.
结论:
- 开发的传感器放置策略有效地优化了应变传感器网络的形状感应.
- NSGA-II,SEA和iFEM的协同作用为结构性监测提供了一个强大而准确的解决方案.
- 这种方法在结构移位场重建领域取得了重大进展.
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