An Inverse Vibration Problem for Simultaneously Estimating the Time - Dependent Stiffness Coefficients

反算振動問題於同時預測時變勁度係數之研究

黃正弘(C. H. Huang)

《中國造船暨輪機工程學刊》 22卷3期 (2003/08) Pp. 113-122

https://doi.org/10.29982/JTSNAME.200308.0001

摘要

本文將應用共軛梯度法及伴隨方程式於強制振動之反算問題中，並依據所量測之系統位移量來同時預測多自由度系統之時變勁度係數。本文亦將利用數值實驗來驗証當考慮量測誤差時本方法之適用性。結果顯示當使用任意之初始猜值時，在Pentium III-500 MHz PC之電腦只需極短之計算時間即可同時預測出極準確之時變勁度係數。

關鍵字

反算振動問題 ； 勁度係數預測 ； 共軛梯度法

並列摘要

The Conjugate Gradient Method (CGM) with adjoint equations was applied to an inverse force vibration
problem to simultaneously estimate the unknown time-dependent stiffness coefficients (or spring constants) in
a multiple-degree-of-freedom system by using the simulated measured system displacement. The numerical
experiments were performed to show the validity of the present algorithm by using different types of stiffness
coefficients and measurement errors. Results have shown that the excellent estimations on the time-dependent
spring constants can be obtained simultaneously with any arbitrary initial guesses within a very short CPU
time on a Pentium III-500 MHz PC.

並列關鍵字

Inverse Vibration Problem ； Stiffness Coefficient Estimation ； Conjugate Gradient Method