This research presents bending responses of hybrid laminated nanocomposite reinforced axisymmetric circular/annular plates (HLNRACP/ HLNRAAP) within the framework of non-polynomial under mechanical loading and various type of initially stresses via the three-dimensional elasticity theory. The current structure is on the Pasternak type of elastic foundation and torsional interaction. The state-space approach and differential quadrature method (SS-DQM) are studied to present the bending characteristics of the current structure by considering various boundary conditions. To predict the material properties of the bulk, the role of mixture and Halpin–Tsai equations are studied. For modeling the circular plate, a singular point is studied. Finally, a parametric study investigates the impacts of various types of distribution of laminated layers, stacking sequence on the stress/strain information of the HLNRACP/ HLNRAAP. Results reveal that the system's static stability and bending behavior improve due to increasing the value of Winkler and Pasternak factors, and the stress distribution becomes more uniform.

这项研究通过三维弹性理论在机械载荷和各种类型的初始应力作用下，在非多项式的框架内，提出了混合层压纳米复合增强轴对称圆形/环形板（HLNRACP / HLNRAAP）的弯曲响应。当前的结构是基于Pasternak类型的弹性基础和扭转相互作用。研究了状态空间方法和微分正交方法（SS-DQM），通过考虑各种边界条件来呈现当前结构的弯曲特性。为了预测大块的材料特性，研究了混合物和Halpin-Tsai方程的作用。为了对圆形板建模，研究了奇异点。最后，一项参数研究研究了层压层的各种分布类型的影响，HLNRACP / HLNRAAP应力/应变信息上的堆积顺序。结果表明，通过增加Winkler和Pasternak因子的值，系统的静态稳定性和弯曲行为得以改善，应力分布变得更加均匀。