本文針對據有黏彈響應的功能性梯度壓電複合材料梁分析及模擬，藉由數
值方法來分析並建構模型以預測整體的行為。常見的應用為量子穿隧顯微鏡以
及原子力顯微鏡內的位移感測器的壓電材料，因在實際應用時，顯微鏡操作時
間較長，使得最後成像的圖片因為潛變而扭曲變形，其中壓電材料的潛變即在
本文有討論。而功能性梯度材料因為能夠避免明顯的分層而介質中間沒有明顯
的分層，較能夠在長時間的運作下不容易產生破裂及剝離分開。
本研究用微觀力學來探討複合材料所帶來的影響，藉由連接板殼理論來探
討整體複合梁的響應。材料參數也是藉由文獻提到的實驗數據，加以校準出相
對應的材料參數，並藉由實驗來加以驗證，最終預測模型的可信度。而參數討
論則針對前面所提到的潛變問題，以直接探討材料本身以及問題本身，加以討
論以及思考，試圖尋找可能的解決方式而非像絕大部分的文獻回顧的學者，以
自動控制的方法去改善這個狀況。

This research is based on functionally graded material for analyzing the nonlinear and time-dependent response of viscoelastic piezoelectric material, such as the matrix is viscoelastic and the reinforcing material reinforcement is barium titanate which is assumed as a linear material. But However, due to the time-dependent viscoelastic matrix, the composite behavior is creep or relaxation, so the constitutive relations used are nonlinear and time-dependent. The time-dependent problem here can be solved by the time integration algorithm recursive method which is proposed by Muliana, 2002. The Prony series of piezoelectric materials are calibrated from the experimental data available in the literature by Zhou, 2005. By utilizing the micromechanics model which is the simplified unit-cell model and laminate theory to analyze the deflection of the actuator under cyclic electric voltage loading, the differences between with and without time-effect or viscoelasticity are presented against experimental validation. The parametric study with various dimensions and several sets of the material compositions of the functionally graded piezoelectric beams actuator and the effect of different frequencies are presented.

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