以模態疊加之空間及時間相位探討行進波於二維有限結構上產生之研究

Abstract

本研究團隊對於平台式和自走式二維壓電致動器的研究已有多項技術開發，驅動方法包括整數倍頻驅動、雙模態驅動及整數倍頻雙模態驅動等三種方法，其中整數倍頻雙模態驅動(Two-Integer-Frequency Two-Mode, TIF-TM)驅動方法，是為目前效率最高之驅動方法，然而目前之設計方法，尚未考慮空間相位之效應，並且對於驅動模態、驅動頻率、驅動相位及驅動電壓比等參數，皆是以試誤法或將其設計之結構進行數學建模，接著針對其結構及所需振形設計成本函數，再調變驅動參數觀察成本函數以間接的方式獲得最佳參數。本研究從波傳的角度出發，開發可將空間相位及時間相位一併進行分析方法，開發出可將兩驅動共振頻的時間及空間相位差皆驅動在 π/2 的位置，進而整合分析出產生高效行進波的條件，並開發可自動找尋驅動條件的設計流程。本研究並設計多個以雙簡支端及雙自由端作為邊界條件，且由不銹鋼板和壓電陶瓷組成的複合結構的壓電致動器來驗證本研究所開發的方法，並以理論數值模擬、有限元素分析、以及都卜勒雷射位移計驗證所得的最佳化驅動參數的精確性及可行性。

Our team has developed various techniques to drive two-dimensional piezoelectric actuators and motors. The driving methods include integer multiple frequency driving method, dual-mode driving method, and integer-multiple-frequency dual-mode (TIF-TM) driving method. Among them, the TIF-TM driving method is known for its highest efficiency. However, previous studies did not consider the the effects of spatial phase in the design process. Parameters such as driving mode, driving frequency, driving phase, and driving voltage ratio were determined through trial and error using a mathematical modeling of the designed structure. This study develope a new method to design both spatial and temporal phases and a method to identify driving parameters. To verify the developed method, multiple piezoelectric actuators composed of stainless steel plates and piezoelectric ceramics, were designed. The feasibility of the proposed analysis and design methods are verified through theoretical numerical simulations and finite element simulations, and using a Doppler laser displacement meter to verify the optimized driving parameters obtained from the developed method.