Nonlinear dynamic response and stability of piezoelectric shells with piezoelectric nonlinearities

作者：Yu Zhang, Yaoxin Huang, Shaoyu Zhao, Zeyu Jiao, Chaofeng Lü, Jie Yang · 发表于：International Journal of Mechanical Sciences · 年份：2025 · DOI：10.1016/j.ijmecsci.2025.110731 · 被引用次数：27 · 研究领域：Composite Structure Analysis and Optimization、Aeroelasticity and Vibration Control、Piezoelectric Actuators and Control

Most existing research on mechanical analysis of piezoelectric laminated shells focuses primarily on linear piezoelectric constitutive equations and small rotations under the von Kármán assumption. However, these studies rarely address the inherent nonlinear effects of piezoelectric materials and the significant geometric nonlinearities due to large displacements and rotations that frequently occur in practical engineering applications. To address this gap, this paper first applies the mixed interpolation of tensorial components (MITC) technique to a numerical model of piezoelectric laminated shells that simultaneously considers both geometric and piezoelectric nonlinearities. A comprehensive nonlinear analysis method is established to analyze post-buckling behavior, nonlinear dynamic response, and dynamic control of piezoelectric laminated shell (PLS) structures. Based on the Reissner-Mindlin shell theory, the MITC elements effectively solve the shear-locking issue in numerical analysis. Using piezoelectric nonlinear constitutive relations and the covariant Green-Lagrange strain field to describe large displacements and rotations of PLS, the full nonlinear control equations of the structure are derived through Hamilton's principle and the total incremental formulation. The post-buckling analysis uses the generalized displacement control method, while the dynamic response is solved using the Newmark-β method. By comparing with existing literature, the accuracy of the proposed...