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A numerical investigation of elastic buckling of circular Mindlin plates with allowance for prebuckling inplane deformation | |
Author | Ng, Tak Kee |
Call Number | AIT Thesis no. ST-95-19 |
Subject(s) | Buckling (Mechanics) Plates (Engineering) |
Note | A thesis submitted in partial fulfilment of the requirements for the degree of Master of Engineering. |
Publisher | Asian Institute of Technology |
Series Statement | Thesis ; no. ST-95-19 |
Abstract | Compressibility is usually neglected in the general buckling analysis of columns and plates. However the prebuckling inplane or axial deformation has been shown by several scholars to have certain effects on the buckling capacity of columns, depending on the material properties, aspect ratios and boundary conditions. Ziegler pioneered the study of this influence in the buckling of simply supported thick plate and concluded that this effect is of the same order of magnitude as that due to shear deformation. This effect was further explored analytically and numedcally (Rayleigh-Ritz method) in different kind of plates by other scholars Xiang et al., Hong et al. and Tan. In contrast to Ziegler's approach, energy approach based on Trefftz's Theory was adopted by them. So far, finite element method has not been attempted. In this study, elastic buckling of tapered circular Mindlin plates with prebuckling inplane deformation is investigated by finite element method. A robust and simple axisymmetric conical shell finite element based on assumed strain method is developed for the investigation. Two solution procedures based on Trefftz's Theory and Incremental Load Approach are employed for comparison. Finally, large deformation analysis of imperfect plates using Kanok-Nukulchai's and Ma's nonlinear shell elements gives an overview to the idealized situation of linear elastic buckling. |
Year | 1995 |
Corresponding Series Added Entry | Asian Institute of Technology. Thesis ; no. ST-95-19 |
Type | Thesis |
School | School of Engineering and Technology (SET) |
Department | Department of Civil and Infrastucture Engineering (DCIE) |
Academic Program/FoS | Structural Engineering (STE) /Former Name = Structural Engineering and Construction (ST) |
Chairperson(s) | Worsak Kanok-Nukulchai |
Examination Committee(s) | Pennung Warnitchai;Wijeyewickrema, Anil C. |
Scholarship Donor(s) | German Academic Exchange Service (D.A.A.D) |
Degree | Thesis (M. Eng.) - Asian Institute of Technology, 1995 |