雅科比-里茨公式用于对厚,异型和不均的电机定子组件的模态分析,考虑轴对称的振动模式
Panagiotis Andreou1, Amal Z Hajjaj1, Mahdi Mohammadpour1
1School of Mechanical, Electrical and Manufacturing Engineering, Loughborough University, Wolfson Building, Ashby Rd, Loughborough, Leicestershire, LE11 3TU UK.
概括
一个新的模态分析框架准确地预测了复杂电机定位器中的振动. 这种高效的方法显著减少了噪声,振动和强度 (NVH) 分析的计算时间.
科学领域:
- 机械工程 机械工程
- 结构动力学 结构动力学
- 计算力学 计算力学 计算力学
背景情况:
- 模态分析对于理解结构的振动行为至关重要.
- 厚的圆柱形结构,如电机定向器,由于复杂的几何和材料特性,提出了独特的挑战.
- 现有的方法经常与不均性和预测轴对称模式扎,对于噪音,振动和强度 (NVH) 至关重要.
研究的目的:
- 为厚型圆柱形结构开发一种新且高效的模态分析框架.
- 准确预测振动模式,包括轴对称 (呼吸) 模式,在复杂的几何形状,如电机定向器.
- 为振动分析提供了有限元分析 (FEA) 的计算效率高的替代方案.
主要方法:
- 利用一级剪切变形外理论 (FSDST) 来解释剪切变形和旋转惯性.
- 采用了与人工无质弹的细分方法,以实现一般的边界条件和连续性.
- 使用直角雅科比多项式和雷利-里茨法解决了自值问题.
主要成果:
- 该框架准确地预测了轴向,圆周,扭曲,曲和轴对称振动模式.
- 根据FEA和实验模式分析 (EMA) 的验证显示自然频率偏差低于5%.
- 与FEA相比,计算时间减少了95%以上.
结论:
- 开发的模态分析框架准确,高效,适应厚型圆柱体结构.
- 它为电机设计和NVH工程中的振动分析提供了一个实用的工具.
- 在不均的外中预测轴对称模式的能力是一个重大进步.
相关概念视频
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