Orthogonal meshless finite volume method in shell analysis

An orthogonal meshless finite volume method has been presented to solve some shell problems. An orthogonal weighted basis function is used to construct shape function so there is no problem of singularity in this new form. The formulation is verified through numerical examples of analysis of spatial shell structures. High computational efficiency and precision are other benefits of the method. Solving some sample problems of thin-walled structures show a good performance of this method.

► Presenting an orthogonal meshless finite volume method to solve shell problems.
► Using orthogonal weighted basis function to construct shape function without singularity.
► Formulation is verified through numerical examples of spatial shell structures.
► High computational efficiency and precision are other benefits of the method.
► Solving some sample problems show a good performance of this method.