| Author | Sze, Kin-son Hanson |
| Call Number | AIT Thesis no.ST-81-16 |
| Subject(s) | Structural frames--Mathematical models
|
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology |
| Publisher | Asian Institute of Technology |
| Abstract | A finite element formulation in the total Lagrangian mode of description is presented for nonlinear analysis of two-dimensional elastic framed structures. A linear and a quadratic beam element are degenerated rigorously from
three-dimensional field equations, using thick beam assumptions. The relative
displacement field along the top boundary of the elements is employed to replace the more complicating finite rotation. Beam equations of motion are
discretized by the Galerkin weighted residual method to result in a system of nonlinear algebraic equations which is solved by the Newton-Raphson iteration technique. To further save computational time, the evaluation of element characteristics is carried out by one-dimensional quadrature along the beam axis and by analytical integration through the thickness. Finally, several examples are given to illustrate the versatility and the effectiveness of the
elements. Comparisons of the results show that the quadratic element is preferable to the linear one . |
| Year | 1981 |
| Type | Thesis |
| School | School of Engineering and Technology |
| 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) | Loo, Yew-Chaye ; Wireland, Martin
|
| Scholarship Donor(s) | Royal Thai Government |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1981 |