Application of Hilbert transform to nonlinearity in frequency response function measurement in modal analysis.

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  • ヒルベルト変換を用いた非線形振動解析　　モーダルアナリシスの基礎と応用に関する研究
  • ヒルベルト ヘンカン オ モチイタ ヒセンケイ シンドウ カイセキ モーダル
  • Function Measurement in Modal Analysis
  • モーダルアナリシスの基礎と応用に関する研究

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The experimental modal analysis is defined for the linear mechanical structure. However the actual structure often has non-linear components such as friction, clearance and so on, resulting that the frequency response functions measured are distorted. This causes some trouble when applying a curve fitting technique to extract modal parameters based on linear theory. In this study the Hilbert transform which can identify the existence of non-linearity in the structure is applied to the measurement of modal analysis. First the numerical simulation makes clear the validity of the Hilbert transform, then the simple plate structure ad the complex motorbike are tested and the Hilbert transform based on measured frequency response function appears the very powerful tool for such non-linear vibration.

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