本文選題：撓曲電效應 + 誘導電勢��； 參考：《廈門大學學報(自然科學版)》2017年06期

【摘要】：撓曲電效應是材料極化強度(或電場強度)與應變梯度之間的耦合關系,對于新型微納米致動器和傳感器的性能具有重要的影響.以納米簡支梁式壓電傳感器(簡稱壓電簡支梁)為研究對象,討論材料的撓曲電效應對壓電簡支梁輸出電勢與撓度的影響.采用電吉布斯自由能密度函數(shù),并根據(jù)壓電材料線性理論與伯努利-歐拉梁理論,采用變分法推導壓電簡支梁的控制方程和相應力電耦合邊界條件.數(shù)值模擬BaTiO3壓電簡支梁在外加機械載荷作用下,由于撓曲電效應產(chǎn)生的誘導電勢和極化強度等與梁結構、材料參數(shù)的相互關系.計算結果表明,誘導電勢反饋作用在梁的表面引起一個與機械載荷作用相反的彎矩,減小了梁結構的彎曲撓度;在一定的撓曲電系數(shù)和梁結構尺寸下,誘導電勢存在最大值;在微納尺度上撓曲電效應具有很強的尺寸依賴性,隨著梁的厚度增大,撓曲電效應的影響將顯著減弱.
[Abstract]:The flexural effect is the coupling relationship between the polarization strength (or electric field intensity) and the strain gradient of the material, which has an important effect on the performance of the new micro and nano actuators and sensors. The effect of flexural electric effect on the output potential and deflection of piezoelectric simply supported beam is discussed in this paper. Based on the linear theory of piezoelectric materials and Bernoulli Euler beam theory, the control equation and the corresponding coupling boundary conditions of piezoelectric simply supported beam are derived by using the electric Gibbs free energy density function and the Bernoulli Euler beam theory. Numerical simulation of the relationship between the induced potential and polarization strength of a simply supported BaTiO3 piezoelectric beam under external mechanical loading and the structure of the beam is carried out. The results show that the induced potential feedback causes a bending moment opposite to the mechanical load on the surface of the beam, which reduces the bending deflection of the beam structure, and the induced potential has the maximum value under a certain flexural electric coefficient and the structure size of the beam. The flexural effect is highly dimensionally dependent on the micro- and nanoscale scale, and the effect of the flexoelectric effect decreases with the increase of the beam thickness.
【作者單位】： 廈門大學材料學院福建省特種先進材料重點實驗室;集美大學誠毅學院;
【基金】：國家自然科學基金(11572271,11472233)
【分類號】：TP212
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本文編號：1996322