B-Spline Subdomain Method for static calculations of Double-Curved Arch structures

A static computational study of a new type of Doubly-Curved Arch (DCA) structure using the Spline Subdomain Method (SSM) has been conducted and a new subdomain and generalized model for the static analysis of compression DCA structures have been developed. The equations for the numerical calculations by SSM are derived. The model is based on the SSM for the subdomain division of DCA. For the discretization of the flat shell subdomain, two sets of uniformly distributed spline nodes are used along the neighboring edges of the rectangular projection of the shallow shell subdomain. The linear combination of the product of these two specially designed cubic B-spline interpolation functions is the displacement field. This model generates its overall structural stiffness matrix and load vector of the DCA by direct assembly following the discretization of the spline in the shallow shell subdomain. This method is characterized by high modeling efficiency, low computational cost, and a wide range of applications for the analysis of irregular shell structures. Abaqus software is used to verify the performance of the suggested method through numerical examples. The findings demonstrate that nonregular DCA structures subjected to static compression can have their mechanical properties analyzed using the suggested method.