作用於懸臂板上負荷之估測

本研究提出一個卡爾曼濾波器結合一個遞迴估測器的使用，來求得作用在線性動態系統上之負荷。該負荷經由量測動態反應並透過一個反向法估測出，此估測器是利用最小二乘法來估算負荷大小之歷時。為驗證本研究所提之方法的實用性與準確性，以一個實驗量測懸臂板的動態反應來估測作用其上之負荷。該懸臂板之動態特性採用模態測試方法，由頻率反應函數識別出系統的相關參數，以建立其數學模式。實驗中，該懸臂板承受週期性的正弦與矩形負荷，此負荷之估測結果於各試驗案例上其定量與定性均佳。

關鍵字

輸入估測；卡爾曼濾波器；最小二乘法；頻率反應函數

並列摘要

This work present an application of the Kalman filter with a recursive estimator to determine the excitation loads of linear dynamic systems. The loads were estimated from the measured dynamic responses through an inverse method. The estimator employed a least squares algorithm to compute the magnitudes and, therefore, the onset time histories of the loads. The practicability and accuracy of the proposed method were verified with laboratory tests from with the input loads of a cantilever plate were estimated from the measured dynamic responses. The dynamic characteristics of the cantilever plate the modal testing, with frequency response function identifying the system model parameters, and setting its mathematic model. In the experimental study, the plate was subjected to periodic sinusoidal and rectangular loads. The estimation results of the acting loads are qualitatively and quantitatively good in all cases tested.

並列關鍵字

Input estimation ； Kalman filter ； Least squares ； Frequency response function

參考文獻

Stevens, K. K.(1987).Force Identification Problems - an Overview.Proc. of the1987 SEM Spring Conference on Experimental Mechanics.(Proc. of the1987 SEM Spring Conference on Experimental Mechanics).: