用於量化且模型化非線性度、組合非線性度及非平穩度之方法Method For Quantifying And Modeling Degree Of Nonlinearity, Combined Nonlinearity,And Nonstationarity

專利類型

發明

專利國別 (專利申請國家)

美國

專利申請案號

13/241,565

專利證號

US 8,732,113 B2

專利獲證名稱

用於量化且模型化非線性度、組合非線性度及非平穩度之方法Method For Quantifying And Modeling Degree Of Nonlinearity, Combined Nonlinearity,And Nonstationarity

專利所屬機關 (申請機關)

國立中央大學

獲證日期

2014/05/20

技術說明

本專利提出的量測方法乃用於度量非線性程度（Degree of Nonlinearity，DN）其主要根據波內頻率調變（intra-wave frequency modulation）的概念發展而成，其值必定介於0和1之間。依照本專利的定義，非線性度評估的是系統狀態而非系統本身。欲定義非線性度，僅需要描述運動的數據，或觀測數據即可。對於有多個固有模態函數含較高能量密度的複雜狀態而言，非線性度也一併將振幅變化的影響列入考慮。結合波內頻率調變和振幅變化兩者，可得出綜合非線性度（Combined Degree of Nonlinearity，CDN）。針對已知的非線性系統進行廣泛的測試，其結果顯示此一新定義方式合乎邏輯，據以求得的DN數值亦屬合理。有了這些非線性度的定義，我們未來將能以定量方式描述非線性特質；如此，對非線性效應的論述亦可以更加精確。非線性度可應用在結構安全監測，另生物醫學應用與金融數據分析亦包括在內。 The advantage of the invention The advantage of the invention A Degree of Nonlinearity (DN) based primarily on intra-wave frequency modulation is proposed here with the value always between 0 and 1. With this definition, the degree of nonlinearity would measure the state rather than a system. The data needed for the definition is just the state of the motion, or observed data. For a complicate state with more than one IMF containing prominent energy density, the degree of nonlinearity have also considered the amplitude variations. The combination of both intra-wave frequency modulation and amplitude variation gives the Combined Degree of Nonlinearity (CDN). Extensive tests with known nonlinear system indicate that the new definition is logical and the values of DN given, reasonable. With these definitions of degree of nonlinearity, we could quantify nonlinearity in the future; then, the discussion of nonlinear effects could be conducted more precisely.

備註

連絡單位 (專責單位/部門名稱)

智權技轉組

連絡電話

03-4227151轉27076

網址