Open AccessA meshfree method based on point interpolation for dynamic analysis of rotating cantilever beams
Author(s) -
Du Chaofan,
Dingguo Zhang
Publication year - 2015
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.64.034501
Subject(s) - cantilever , finite element method , interpolation (computer graphics) , beam (structure) , meshfree methods , deformation (meteorology) , coupling (piping) , lagrange polynomial , computer science , physics , mathematical analysis , classical mechanics , structural engineering , mathematics , materials science , motion (physics) , optics , metallurgy , thermodynamics , engineering , meteorology , polynomial
A meshfree method based on polynominal point interpolation method (PIM) is proposed for dynamic analysis of a rotating cantilever beam; PIM is used to describe the deformation of the flexible beam. Its longitudinal and transverse deformations are both taken into consideration, and the coupling term of the deformation which is caused by the transverse deformation is included in the longitudinal deformation of the beam. The rigid-flexible coupling dynamic equations of the system are derived via employing Lagrange's equations of the second kind. Compared with the finite element method (FEM), only individual nodal data are required in the current method so that its preprocessor is easier, and the shape functions constructed have high-order continuities due to more nodes to be interpolated. Simulation results of the meshfree method are compared with those obtained by using FEM and assumption of modes method. It is demonstrated that the meshfree method can be extended to the field of multibody system dynamics.