Numerical aspects of differential quadrature method for thick plate modeling
This work explores the solution capability of the differential quadrature method (DQM) for bending and free vibration analyses of thick plates described by the first-order shear deformation theory, with the focus on the bending analysis of Reissner/Mindlin plates. The DQM is applied first for the ax...
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sg-ntu-dr.10356-199382023-03-11T17:26:13Z Numerical aspects of differential quadrature method for thick plate modeling Han, Jiang Bo. Xiao, Zhongmin School of Mechanical and Production Engineering DRNTU::Engineering::Mechanical engineering::Mechanics and dynamics This work explores the solution capability of the differential quadrature method (DQM) for bending and free vibration analyses of thick plates described by the first-order shear deformation theory, with the focus on the bending analysis of Reissner/Mindlin plates. The DQM is applied first for the axisymmetric bending and free vibration analyses of circular and annular Reissner/Mindlin plates and then for the bending analysis of rectangular thick plates, either of symmetric cross-ply laminated or isotropic material. The solution capability of the method is demonstrated by solving a number of plate problems. The accuracy is established by comparison studies. The convergence is investigated in detail with respect to various combinations of constraint conditions, different loading manners (for bending), relative thickness, inner-to-outer radius ratio (for annular plates) and vibration mode sequences. It is revealed that the DQM is a very efficient numerical tool for thick plates of regular domain. Doctor of Philosophy (MPE) 2009-12-14T07:52:15Z 2009-12-14T07:52:15Z 1997 1997 Thesis http://hdl.handle.net/10356/19938 en NANYANG TECHNOLOGICAL UNIVERSITY 311 p. application/pdf |
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DRNTU::Engineering::Mechanical engineering::Mechanics and dynamics Han, Jiang Bo. Numerical aspects of differential quadrature method for thick plate modeling |
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This work explores the solution capability of the differential quadrature method (DQM) for bending and free vibration analyses of thick plates described by the first-order shear deformation theory, with the focus on the bending analysis of Reissner/Mindlin plates. The DQM is applied first for the axisymmetric bending and free vibration analyses of circular and annular Reissner/Mindlin plates and then for the bending analysis of rectangular thick plates, either of symmetric cross-ply laminated or isotropic material. The solution capability of the method is demonstrated by solving a number of plate problems. The accuracy is established by comparison studies. The convergence is investigated in detail with respect to various combinations of constraint conditions, different loading manners (for bending), relative thickness, inner-to-outer radius ratio (for annular plates) and vibration mode sequences. It is revealed that the DQM is a very efficient numerical tool for thick plates of regular domain. |
author2 |
Xiao, Zhongmin |
author_facet |
Xiao, Zhongmin Han, Jiang Bo. |
format |
Theses and Dissertations |
author |
Han, Jiang Bo. |
author_sort |
Han, Jiang Bo. |
title |
Numerical aspects of differential quadrature method for thick plate modeling |
title_short |
Numerical aspects of differential quadrature method for thick plate modeling |
title_full |
Numerical aspects of differential quadrature method for thick plate modeling |
title_fullStr |
Numerical aspects of differential quadrature method for thick plate modeling |
title_full_unstemmed |
Numerical aspects of differential quadrature method for thick plate modeling |
title_sort |
numerical aspects of differential quadrature method for thick plate modeling |
publishDate |
2009 |
url |
http://hdl.handle.net/10356/19938 |
_version_ |
1761781454018183168 |