撓曲電效應(yīng)對簡支梁式壓電傳感器性能的影響
發(fā)布時(shí)間:2018-06-08 15:47
本文選題:撓曲電效應(yīng) + 誘導(dǎo)電勢; 參考:《廈門大學(xué)學(xué)報(bào)(自然科學(xué)版)》2017年06期
【摘要】:撓曲電效應(yīng)是材料極化強(qiáng)度(或電場強(qiáng)度)與應(yīng)變梯度之間的耦合關(guān)系,對于新型微納米致動(dòng)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(yīng)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(dǎo)壓電簡支梁的控制方程和相應(yīng)力電耦合邊界條件.數(shù)值模擬BaTiO3壓電簡支梁在外加機(jī)械載荷作用下,由于撓曲電效應(yīng)產(chǎn)生的誘導(dǎo)電勢和極化強(qiáng)度等與梁結(jié)構(gòu)、材料參數(shù)的相互關(guān)系.計(jì)算結(jié)果表明,誘導(dǎo)電勢反饋?zhàn)饔迷诹旱谋砻嬉鹨粋(gè)與機(jī)械載荷作用相反的彎矩,減小了梁結(jié)構(gòu)的彎曲撓度;在一定的撓曲電系數(shù)和梁結(jié)構(gòu)尺寸下,誘導(dǎo)電勢存在最大值;在微納尺度上撓曲電效應(yīng)具有很強(qiáng)的尺寸依賴性,隨著梁的厚度增大,撓曲電效應(yīng)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(xué)材料學(xué)院福建省特種先進(jìn)材料重點(diǎn)實(shí)驗(yàn)室;集美大學(xué)誠毅學(xué)院;
【基金】:國家自然科學(xué)基金(11572271,11472233)
【分類號】:TP212
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本文編號:1996322
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