CAJ | 학술논문

利用波动理论对自由端受瞬时纵向冲击力作用下的压电层合杆进行了动力分析,在截面平面假设下,建立了力电耦合下层合杆的波动方程;用Laplace变换方法对波动方程式进行求解,求得了位移和电势的解析表达式;给出了杆内不同时间段的位移场和电势场的传播规律以及它们之间的关系,讨论了弹性模量以及弹性层和压电层厚度比对波场传播速度、位移及电势的影响.计算结果表明:杆中电势沿高度方向为线性分布,纵向脉冲传播的速度随弹性模量的增大而增加,但随压电层的厚度增加而减小.
이용파동이론대자유단수순시종향충격력작용하적압전층합간진행료동력분석,재절면평면가설하,건립료력전우합하층합간적파동방정;용Laplace변환방법대파동방정식진행구해,구득료위이화전세적해석표체식;급출료간내불동시간단적위이장화전세장적전파규률이급타문지간적관계,토론료탄성모량이급탄성층화압전층후도비대파장전파속도、위이급전세적영향.계산결과표명:간중전세연고도방향위선성분포,종향맥충전파적속도수탄성모량적증대이증가,단수압전층적후도증가이감소.
Using the theory of wave motion, the dynamical property of a piezoelectric-elastic layered bar under longitudinal impulse loads at the free end was analyzed. The equations of wave propagation in the layered bar were established on the plane cross-section assumption. Displacement and electric potential ex pressions were obtained by solving the equations with Laplace transform. The relationship between the displacement and the electric potential and their propagation in the bar were given. The influences of elas tic modular and the thickness ratio of piezoelectric layer and elastic layer on wave speed, displacement and electric potential were discussed. The result shows that the electric potential distributes linearly along the thickness direction, and the velocity of longitudinal impulse increases with the Young modulus and reduces with the increase of piezoelectric layer thickness.