A general study of the finite element approach and its application to structural analysis is conducted and methods of derivation of element properties are reviewed. It is found that the method has the advantage of generality of application and that the direct approach is easier to programme than the force method. A unified and simple formula is derived for the computation of element elastic and geometric stiffness matrices and is found to be much easier to apply than existing methods. The standard finite element displacement method is used to study overall buckling of beams, plates, and stiffened plates. The results show that the method can provide accurate answers as compared with the existing analytical approaches. The exact finite strip, the approximate finite strip, and the finite strip for local buckling analysis are reviewed and are found to economise greatly in computer time, needing less storage space because of their narrow band width as compared with the standard finite element method. In particular, the finite strip for local stability which uses a standard eigenvalue subroutine and is based on the concept of geometric stiffness matrices is used to study local buckling and buckling of plates and plates supported elastically by continuous elastic medium. The results obtained are shown to be very close to those obtained analytically, the effect of the elastic support being to increase greatly the buckling stress relative to the unsupported plates
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:377172 |
| Date | January 1983 |
| Creators | Suri, Ali Hasan |
| Publisher | University of Glasgow |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://theses.gla.ac.uk/3409/ |
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