粘贴压电层Euler-Bernoulli梁的过曲屈分析

Post-buckling Analysis of Euler-Bernoulli Beams with Piezoelectric Layer

采用打靶法研究了上下表面粘贴压电层Euler-Bernoulli梁在电场作用下的过曲屈行为。在精确考虑轴线可伸长梁的基础上,建立了粘贴压电层Euler-Bernoulli梁在电场作用下的几何非线性控制方程。对梁在两端简支情况下的过曲屈行为进行分析,获得了非线性边值问题数值意义上的解,给出了相应的特性曲线。

Post-buckling behaviors of Euler-Bernoulli beams with surface-bonded piezoelectric on both sidesis analyzed by using shooting-method. Based on the theory of Euler-Bernoulli beam, considering accurateaxial extension, geometrically non-linear governing equations of the piezoelectric beams under electricalfield are established. A post-buckling behavior of beam in the case of simply supported at both ends is ana-lyzed to obtain the numerical solution of nonlinear boundary value sense, given the corresponding character-istic curves,and the conclusions are discussed.