The study investigates nonlinear vibration of functionally graded carbon nanotube–reinforced polymer plate subjected to electro–thermo–mechanical loads resting on elastic foundations by an analytical approach. Uniform and functionally graded carbon nanotubes are used to reinforce through the thickness of the plate. Furthermore, a piezoelectric layer is perfectly bonded to the top of the plate to act as an actuator. The equations of motion are derived by the Flügge–Lur’e–Bryrne theory and then applying the Galerkin method to solve differential equations. The dynamical responses such as time history, phase plane graphs, and Poincaré map are carried out in this study. In addition, the effects of environment, materials, and geometry are scrutinized. The obtained results are also compared and validated with those of other studies.

该研究通过解析方法研究了功能梯度碳纳米管增强聚合物板在弹性地基上承受电热机械载荷的非线性振动。均匀且功能渐变的碳纳米管用于增强板的厚度。此外，压电层完美地结合到板的顶部，以用作致动器。运动方程是根据Flügge–Lur'e–Bryrne理论推导出来的，然后应用Galerkin方法求解微分方程。在这项研究中进行了动力学响应，如时程，相平面图和庞加莱图。此外，还要检查环境，材料和几何形状的影响。还将获得的结果与其他研究的结果进行比较和验证。