Modal Analysis of Lenses Used in Automotive Lighting Industry and Obtaining MAC Matrix

Erhan Ay, B. Ediz, Birhat Sönmezay, S. Çetin
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Abstract

In this study, 4 different pieces of automotive rear lamp lenses which are made of Polymethylmethacrylate (PMMA) and have different geometries have been inspected. Free-free natural frequencies and mode shapes of lenses have been estimated by the help of ANSYS WB® Finite Element Analysis (FEA) software. Meanwhile, by the help of Experimental Modal Analysis (EMA) methods; natural frequencies, damping ratios and mode shapes of the lenses have been determined. Finally, mode shapes calculated by FE and measured by EMA were compared and Modal Assurance Criteria matrix (MAC) was determined. After experimental modal tests, FRF’s were calculated by DEWESoft® X3 software then natural frequencies, damping ratios and mode shapes were calculated by the use of ME’scope® VESVT-570 Visual Modal software. In addition, MAC was calculated by the help of MEScope® software. The main reason for the use of such experimental methods was to understand if the assumptions made before theoretical analysis were satisfied in reality or not.
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汽车照明用透镜模态分析及MAC矩阵的求解
本研究采用聚甲基丙烯酸甲酯(PMMA)制成的4块不同形状的汽车尾灯透镜进行了检测。在ANSYS WB®有限元分析(FEA)软件的帮助下,估计了透镜的自由-自由固有频率和模态振型。同时,借助实验模态分析(EMA)方法;确定了透镜的固有频率、阻尼比和模态振型。最后,将有限元计算得到的模态振型与EMA测量得到的模态振型进行比较,确定模态保证准则矩阵(MAC)。实验模态测试后,使用DEWESoft®X3软件计算频响,然后使用ME 'scope®VESVT-570可视化模态软件计算固有频率、阻尼比和模态振型。此外,在MEScope®软件的帮助下计算MAC。使用这种实验方法的主要原因是为了了解在理论分析之前所做的假设在现实中是否满足。
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