In the current work, the stable node-based smoothed radial point interpolation method (SNS-RPIM) was used to investigate the dynamic responses of magneto-electro-elastic (MEE) beams under hygrothermal environment with the generalized Newmark method. Based on the generalized smoothed Galerkin weak form and the gradient smoothing technique, the basic equations for hygro-thermo-magneto-electro-elastic (HTMEE) coupling problems were derived. The stable item of SNS-RPIM made the stiffness ‘close-to-exact’ and cured the ‘over-soft’ of the model. Through the numerical examples, the effect of empirical constants, temperature variation and moisture concentration on the elastic stiffness coefficients and generalized displacement was investigated. Besides, numerical results verified the accuracy, convergence and correctness of the present method compared with the traditional finite element method when analyzing the HTMEE coupling problems. Moreover, SNS-RPIM was very stable and accurate for extremely distributed meshes, which can have an excellent application for future studies of the coupled multi-physical problems.

在目前的工作中，基于稳定节点的平滑径向点插值法（SNS-RPIM）被用于研究磁电弹性（MEE）梁在湿热环境下的动态响应，并采用广义 Newmark 方法。基于广义平滑Galerkin弱形式和梯度平滑技术，导出了湿热磁电弹性(HTMEE)耦合问题的基本方程。SNS-RPIM 的稳定项目使刚度“接近精确”并治愈了模型的“过软”。通过数值算例，研究了经验常数、温度变化和水分浓度对弹性刚度系数和广义位移的影响。此外，数值结果验证了准确性，本方法在分析HTMEE耦合问题时与传统有限元方法相比的收敛性和正确性。此外，SNS-RPIM 对于极端分布的网格非常稳定和准确，这对于未来耦合多物理问题的研究具有很好的应用。