Korkeai Neda, Alizadeh As'ad, Poorveis Davood, Moradi Shapour, Pasha Pooya
School of Civil Engineering, Shahid Chamran University of Ahvaz, Ahvaz, 61357, Iran.
Department of Civil Engineering, College of Engineering, Cihan University-Erbil, Erbil, Iraq.
Heliyon. 2023 Aug 20;9(9):e19328. doi: 10.1016/j.heliyon.2023.e19328. eCollection 2023 Sep.
According to the first order shear deformation plate assumption, current paper numerically investigates the buckling problem of cylindrical shells with oval cross-section under simply supported boundary condition subjecting to uniform and non-uniform loads via spline finite strip method. Equilibrium governing equations are generated based upon the virtual work's principle. Shell displacement function is assumed to be as dual development of degree 3 spline functions and Lagrange polynomial functions. The analysis method used at any time with any type of loading can calculate deformation and buckling. The step-by-step critical load is calculated using the determinant of the stiffness matrix. In the present paper, it is supposed that the applied linear elastic materials consist of isotropic and non-isotropic materials. Numerical studies are performed to indicate the effects of shell geometry, materials, and layered materials on the buckling load. For the validation purpose, the results of current research are compared with those of previous researches and ABAQUS software.
根据一阶剪切变形板假设，本文采用样条有限条法对简支边界条件下承受均匀和非均匀载荷的椭圆形截面圆柱壳的屈曲问题进行了数值研究。基于虚功原理建立了平衡控制方程。壳位移函数假定为三次样条函数和拉格朗日多项式函数的双重展开。所采用的分析方法在任何时候对任何类型的载荷都能计算变形和屈曲。使用刚度矩阵的行列式计算逐步临界载荷。在本文中，假定所应用的线弹性材料由各向同性和非各向同性材料组成。进行了数值研究以表明壳几何形状、材料和层状材料对屈曲载荷的影响。为了验证，将当前研究结果与先前研究结果以及ABAQUS软件的结果进行了比较。
