压电与声光
壓電與聲光
압전여성광
PIEZOELECTRICS & ACOUSTOOPTICS
2001年
1期
85-88
,共4页
扭转%压电效应%非线性极化%等效束缚电荷
扭轉%壓電效應%非線性極化%等效束縳電荷
뉴전%압전효응%비선성겁화%등효속박전하
应用弹性理论、压电理论分析了压电体内的应力状态及由其所导致的非线性极化状态。由于极化梯度的存在，不仅在压电体的表面上会产生等效面束缚电荷，在压电体内部同时也会有等效体束缚电荷的聚集。以矩形截面石英柱体为例，选取级数形式的应力函数，采用能量法及根据电场的等效原理推导了由扭转而产生的剪应力和面束缚电荷密度及体束缚电荷密度的解析表达式，得到了迥异于线性极化的结果。采用有限元方法计算了束缚电荷产生的电场。建立了机械扭矩同检测电极的输出电量之间的线性关系，并实现了单压电体扭矩检测。
應用彈性理論、壓電理論分析瞭壓電體內的應力狀態及由其所導緻的非線性極化狀態。由于極化梯度的存在，不僅在壓電體的錶麵上會產生等效麵束縳電荷，在壓電體內部同時也會有等效體束縳電荷的聚集。以矩形截麵石英柱體為例，選取級數形式的應力函數，採用能量法及根據電場的等效原理推導瞭由扭轉而產生的剪應力和麵束縳電荷密度及體束縳電荷密度的解析錶達式，得到瞭迥異于線性極化的結果。採用有限元方法計算瞭束縳電荷產生的電場。建立瞭機械扭矩同檢測電極的輸齣電量之間的線性關繫，併實現瞭單壓電體扭矩檢測。
응용탄성이론、압전이론분석료압전체내적응력상태급유기소도치적비선성겁화상태。유우겁화제도적존재，불부재압전체적표면상회산생등효면속박전하，재압전체내부동시야회유등효체속박전하적취집。이구형절면석영주체위례，선취급수형식적응력함수，채용능량법급근거전장적등효원리추도료유뉴전이산생적전응력화면속박전하밀도급체속박전하밀도적해석표체식，득도료형이우선성겁화적결과。채용유한원방법계산료속박전하산생적전장。건립료궤계뉴구동검측전겁적수출전량지간적선성관계，병실현료단압전체뉴구검측。
The stresses caused by mechanical torque on piezoeletric bar arededuced by using energy method in elastic theory and the accompanying nonlinear polarization in the piezoelectric body is analysed.In electrodynamics point of view equivalent bound volume charges will accumulate in the piezoelectric body in addition to the bound surface charges considering the effect of polarization gradient.The distribution of the electric field intensity in the piezoelectric body is obstained by finite element method.The measuring electrodes are effectively disposed on the surfaces of the piezoelectric body based on the analysis of boundary condition of conductors in electric field.The investigation in this article would establish the basis for torque measuring technique on single piezoelectric body.
