Static analysis of functionally graded plates based on thin plate spline radial basis function
Received:January 17, 2024  Revised:February 28, 2024
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DOI:10.7511/jslx20240117002
KeyWord:thin plate spline  radial basis function  functionally graded plates  static analysis  high-order theory  meshless
        
AuthorInstitution
宋薇薇 沈阳航空航天大学 辽宁省通用航空重点实验室, 沈阳 ;辽宁通用航空研究院, 沈阳 ;沈阳航空航天大学 民用航空学院, 沈阳
项松 沈阳航空航天大学 辽宁省通用航空重点实验室, 沈阳 ;辽宁通用航空研究院, 沈阳
赵锐 沈阳航空航天大学 辽宁省通用航空重点实验室, 沈阳 ;辽宁通用航空研究院, 沈阳
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Abstract:
      In this paper,the high-order shear deformation theory is used to model functionally graded plates.The governing differential equations are discretized by a meshless method based on thin plate spline radial basis functions.The calculation results of this article are compared with those of Zenkour et al.,and good consistency between the two sets of results indicates the accuracy and effectiveness of the thin plate spline radial basis function method in the analysis of functionally graded plates.It is clear that,the new laminated plate theory proposed in this article that considers the discretization of layer boundaries produces more accurate displacement and stress than other laminated plate theories with five global variables.Numerical examples show that using thin plate spline radial basis functions for static analysis of functionally graded plates has high accuracy and good convergence.