Free vibration analysis of laminated composite plates by local moving Kriging meshless method
Received:March 15, 2012  Revised:June 20, 2012
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DOI:10.7511/jslx201304018
KeyWord:meshless method  laminated composite plates  local Kriging interpolation  free vibration
        
AuthorInstitution
陈富军 苏州大学 数学科学学院,苏州
魏春志 苏州大学 数学科学学院,苏州
姚林泉 苏州大学 数学科学学院,苏州 ;苏州大学 城市轨道交通学院,苏州
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Abstract:
      The local moving Kriging interpolation meshless method is used to numerically analysis the natural frequencies of laminated composite plates in this paper.The governing equations and boundary conditions of the laminated plates are derived based on the first order shear theory.Then the discrete characteristic equations are obtained by the collocation method.As the Kriging interpolation function has the Kronecker delta function properties,the essential boundary conditions can be applied directly.Natural frequencies of the laminated composite plates with various boundary conditions,side-to-thickness ratios,material parameters and laying angle are computed by present method,and the numerical results are all well.Finally,the optimal angle design of laminated composite plates is studied by present method,and the optimization results are agreed well with the existing solutions in the literature.Numerical experiments demonstrate that the present method for free vibration analysis of laminated plates is efficient and highly accurate.