| 陈宇宁， 吴建民， 田杨.基于调制函数的振动力学模型全参数估计[J].轻工机械,2022,40(1):24-27 |
| 基于调制函数的振动力学模型全参数估计 |
| Parameter Estimation of Vibration Mechanics Model Based on Modulation Function |
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| DOI：10.3969/j.issn.1005 2895.2022.01.005 |
| 中文关键词: 振动力学模型 调制函数 分部积分法 正交级数 参数估计 |
| 英文关键词:vibration mechanics model modulation function partial integral method orthogonal series parameter estimation |
| 基金项目:辽宁省教育厅科学研究项目（LG201926）。 |
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| 中文摘要: |
| 为提高振动力学模型的精度，课题组对振动力学参数展开研究。基于经典系统力学模型通过在定义域内进行级数展开，重构动力学模型；应用分部积分法及引入调制函数将微分问题转化为关于加速度的积分方程，以便于获取加速度信息作为输入；采用最小二乘法估计刚度、阻尼值，应用雅克比正交级数来表示未知力，从而实现动力学模型全参数的估计。通过估计值和真实值对比验证了课题组所提出的估计方法的准确性。该方法可实现未知参数下的动力学建模，具有一定工程应用价值。 |
| 英文摘要: |
| In order to improve the accuracy of vibration mechanics model, the dynamic parameters were studied. Based on the classical system mechanics model, the dynamic model was reconstructed by series expansion in the domain of definition. The differential problem was transformed into an integral equation about the acceleration by using the partial integral method and introducing the modulation function, so that the obtained acceleration information can be used as the input. The stiffness and damping values were estimated by the least square method, Jacobian orthogonal series was used to express the unknown force, and the estimation of all parameters of the dynamic model was realized. The accuracy of the proposed estimation method was verified by comparing the estimation results with the experimental data. This method can realize dynamic modeling under unknown parameters and has certain engineering application significance. |
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