Modal analysis of the washing machine heater

M. Hagara, P. Lengvarský, R. Huňady
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Abstract

The paper deals with the assessment of the modal parameters of the washing machine heater. At first, a numerical modal analysis based on a finite element method of the heater was performed. Consequently, the experimental modal analysis of the heater was realised to verify the finite element model. As the heater’s shape and dimensions do not allow modal parameters estimation using conventional gages of acceleration, two optical approaches were applied. In both cases, the excitation was realised using Bruel&Kjaer 8206 impact hammer. In the first one, the responses of the heater were captured by Polytec PDV-100 vibrometer, which principle is based on laser Doppler vibrometry. Such a type of device allows capturing of responses in a form of velocity only in the direction of observation. To observe the responses in three mutually perpendicular directions the high-speed digital image correlation system Q-450 Dantec Dynamics was used. Mentioned correlation system uses for the full-field measurement of displacements precise digital cameras with high image resolution. As it is not adapted for modal parameters estimation, the additional software DICMAN 3D, developed at the authors’ workplace, was used. DICMAN 3D allows evaluation of a single-reference as well as a multi-reference measurement in space and for automatic estimation of natural frequencies and damping ratios comprises an advanced estimation module with several algorithms. Finally, the influence of the temperature on the modal parameters was investigated using the finite element model of the heater.The paper deals with the assessment of the modal parameters of the washing machine heater. At first, a numerical modal analysis based on a finite element method of the heater was performed. Consequently, the experimental modal analysis of the heater was realised to verify the finite element model. As the heater’s shape and dimensions do not allow modal parameters estimation using conventional gages of acceleration, two optical approaches were applied. In both cases, the excitation was realised using Bruel&Kjaer 8206 impact hammer. In the first one, the responses of the heater were captured by Polytec PDV-100 vibrometer, which principle is based on laser Doppler vibrometry. Such a type of device allows capturing of responses in a form of velocity only in the direction of observation. To observe the responses in three mutually perpendicular directions the high-speed digital image correlation system Q-450 Dantec Dynamics was used. Mentioned correlation system uses for the full-field measurement of displaceme...
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洗衣机加热器的模态分析
本文对洗衣机加热器的模态参数进行了评定。首先,基于有限元法对加热器进行了数值模态分析。为此,对加热器进行了试验模态分析,验证了有限元模型的正确性。由于加热器的形状和尺寸不允许使用传统的加速度计来估计模态参数,因此采用了两种光学方法。在这两种情况下,激励都是用Bruel&Kjaer 8206冲击锤实现的。第一种方法采用基于激光多普勒测振原理的Polytec PDV-100型测振仪采集加热器的响应。这种类型的装置只允许在观测方向上以速度的形式捕获响应。采用高速数字图像相关系统Q-450 Dantec Dynamics观察三个相互垂直方向的响应。上述相关系统用于高精度、高图像分辨率的数码相机的位移全场测量。由于它不适合模态参数估计,因此使用了作者在工作场所开发的附加软件DICMAN 3D。DICMAN 3D允许在空间中评估单参考和多参考测量,并自动估计固有频率和阻尼比,包括具有多种算法的高级估计模块。最后,利用加热器的有限元模型研究了温度对模态参数的影响。本文对洗衣机加热器的模态参数进行了评定。首先,基于有限元法对加热器进行了数值模态分析。为此,对加热器进行了试验模态分析,验证了有限元模型的正确性。由于加热器的形状和尺寸不允许使用传统的加速度计来估计模态参数,因此采用了两种光学方法。在这两种情况下,激励都是用Bruel&Kjaer 8206冲击锤实现的。第一种方法采用基于激光多普勒测振原理的Polytec PDV-100型测振仪采集加热器的响应。这种类型的装置只允许在观测方向上以速度的形式捕获响应。采用高速数字图像相关系统Q-450 Dantec Dynamics观察三个相互垂直方向的响应。上述相关系统用于位移的全场测量。
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