Transient analysis of functionally graded curved shells using a nonuniform shape parameter integrated radial basis function approach

In this study, an improved integrated radial basis function with nonuniform shape parameter is introduced. The proposed shape parameter varies in each support domain and is defined by θ=1/dmax, where dmax is the maximum distance of any pair of nodes in the support domain. The proposed method is verified and shows good performance. The results are stable and accurate with any number of nodes and an arbitrary nodal distribution. Notably, the support domain should be large enough to obtain accurate results. This method is then applied for transient analysis of curved shell structures made from functionally graded materials with complex geometries. Through several numerical examples, the accuracy of the proposed approach is demonstrated and discussed. Additionally, the influence of various factors on the dynamic behavior of the structures, including the power-law index, different materials, loading conditions, and geometrical parameters of the structures, was investigated.