使用混合Frenet-Serret同质转换矩阵方法对吊杆柱的形状传感
Peng Zhang1, Duanshu Li1, Ran An1
1Department of Civil Engineering, Dalian Maritime University, Dalian 116026, China.
Sensors (Basel, Switzerland)
|April 27, 2024
概括
使用同质矩阵转换 (HMT) 的新Frenet-Serret (FS) 方法可以减少形状感应错误,特别是在拐点. 这种FS-HMT方法提高了基础设施监控的准确性.
科学领域:
- 工程 工程师 工程师 工程师
- 计算力学 计算力学 计算力学
- 结构健康监测 结构健康监测
背景情况:
- 弗雷内特-塞雷特 (FS) 框架对于形状感应至关重要,但会积累错误,特别是在拐点.
- 拐点导致正常向量符号的变化,挑战了基础设施分析中的传统FS准确性.
研究的目的:
- 开发一个修改后的Frenet-Serret (FS) 框架,称为FS-HMT,以减轻累积错误.
- 为了提高形状感应的准确性,特别是在具有拐点的曲线上.
主要方法:
- 修改了传统的FS框架,为具有拐点的细分部分采用同质矩阵转换 (HMT).
- 利用倾斜信息来计算分段起点的单位触角和规范向量.
- 通过有限元分析 (ANSYS 19.2) 和实验测试验证了FS-HMT方法.
主要成果:
- 数字模拟显示,在预测具有拐点的曲线时,最大误差为1.1%.
- 使用钢板进行实验验证的误差为4.9%,远低于传统的FS框架.
- 在涉及转折点的场景中,FS-HMT方法表现出更高的准确性.
结论:
- 拟议的FS-HMT方法有效地提高了形状感应的准确性,特别是对于具有拐点的复杂几何形状.
- 这种修改后的框架为实际工程应用中精确的形状传感提供了有价值的工具.
- 该研究强调了将HMT与FS集成到强大的结构分析中的潜力.
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