A moving-least square meshfree method for the solution of free vibration problems of folded symmetrically laminated plate structures is introduced in this paper. Employing the meshfree folded plate model proposed by the author, a folded laminated plate is simulated as a composite structure of the laminates lie in different planes. Based on the first-order shear deformation theory (FSDT) and the moving-least square approximation, the stiffness and mass matrices of the laminates are derived and supposed to obtain the stiffness and mass matrices of the entire structure by implementing displacement compatible condition among the laminates. The governing equation on the free vibration behavior of the folded laminated plate is thus established. fields of the plate and rib(s) are established. Because of the meshfree characteristics, no mesh is involved to determine the stiffness and mass matrices of the laminates in this paper. Hence the troublesome remeshing is removed completely from the study of such problems as the large deformation of folded laminated plates. Numerical examples show good agreement between the solutions given by the proposed method and ANSYS, using shell elements, which proves the validity of the proposed method.
PENG L X.
Free vibration analysis of symmetrically laminated folded plate structures by the moving-least square meshfree method[J]. Journal of Vibration and Shock, 2011, 30(8): 275-281
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