“…Compared with curved beams, curved shell structures have some similar or even better mechanical properties [14], such as negative stiffness [15,16], multi-stability [17][18][19], and excellent energy absorption [20][21][22][23]. Over the past few decades, & These authors contributed equally to this work and should be considered co-first authors 2 / 20 significant efforts have been devoted to the approximate theoretical analysis, numerical simulations, and experimental investigations of the mechanical properties of shell structures [24][25][26], among them, Civalek et al have made great contributions to solving the motion control differential equations of shell structures, using a series of numerical analysis methods including Generalized Differential Quadrature(GDQ) [27], Discrete Singular Convolution(DSC) [28,29], DSC-Differential Quadrature (DQ) coupling method [30] and higher-order shear-normal deformation theory and analytical approach to the static analysis, etc.…”