本文主要為應用實驗模態分析(EMA)與操作模態分析(OMA)兩種不同的實驗方法,結合有限元素分析進行平台之模型驗證。首先,建立平台之有限元素模型,並進行平台固定邊界之實驗模態分析,量測平台靜態時之結構模態參數,其次搭配振動試驗機產生白噪音激振進行操作模態分析,量測基座激振的加速度輸入及平台頂面的加速度響應輸出,得到平台的頻率響應函數並擷取模態參數。EMA及OMA分別都能得到振動平台之結構模態參數,包含自然頻率、模態振型及阻尼比,兩者的模態特性相似。OMA可得到較符合實際的振動平台情況,而EMA是比較快速的實驗方法,兩種實驗結果皆能用來與振動平台之理論模型進行比較及驗證,本實驗驗證OMA實驗方法之可行性,並可採用進行結構模態測試。
This work applies Experimental Modal Analysis and Operational Modal Analysis, respectively, to experimentally discuss the vibration characteristics of a vertical auxiliary vibration table used in vibration testing machine. The Finite Element Analysis (FEA) is also adopted to perform model verification by comparing the experimental results. First, the FE model of the vibration table is constructed, and the vibration table is mounted on the testing machine in static, to perform the conventional EMA by applying the impact hammer as the actuator and the accelerometer as the sensor. The structural modal parameters can then be determined. The OMA is also performed when the vibration testing machine is in operational condition subjected to the white noise excitation. The base excitation input acceleration and the table surface acceleration response can be, respectively, measured to calculate the frequency response functions that are used to extract the modal parameters. Both EMA and OMA can, respectively, obtain the structural modal parameters, including natural frequencies, mode shapes and damping ratios, of the vibration table. The modal characteristics from the two approaches are compared and revealed a certain degree of similarity. The OMA approach can more realistically determine the vibration table in situ, while the EMA can provide a quick experimental method. Both experimental results can be used to compare the analytical ones and validate the theoretical model of the vibration table. This work shows the feasibility of OMA method that can be adopted for other structural modal testing as well.