| Author | Hartono, Wibisono |
| Call Number | AIT Thesis no. ST-85-10 |
| Subject(s) | Elastic analysis (Theory of structures)
|
| 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 method to trace the bifurcation equilibrium paths of geometrically nonlinear structures is presented. Tracing bifurcation paths of a theoretically perfect structure has an important role in order to know the response of a real structure, taking into account the effects of structural imperfections. Major difficulty in tracing the bifurcation paths by numerical iterative methods such as the newton-Raphson is to estimate initial guess solutions on the bifurcation equilibrium paths from the critical points where the tangential stiffness matrix becomes singular. A method is developed to overcome such problems by considering higher order terms in the Taylor series expansion of the incremental equations at the critical points, by which the bifurcation equilibrium paths can be traced by the Newton-Raphson method. Theoretical analysis of behaviour at the critical points and of stability of the equilibrium state are also presented on a general multi-degree of freedom structural system. A number of illustrative numerical examples are presented on truss structures to show the effectiveness of the method, starting from a simple two bar plane truss to a space truss with twenty one degrees of freedom. It is found that considering the second order terms in the Taylor series expansion is sufficient to compute the initial guess of the solutions on the bifurcation paths. Only in special case, where the second order terms vanish, the next third order terms should be considered. |
| Year | 1985 |
| Type | Thesis |
| School | School of Engineering and Technology (SET) |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Structural Engineering (STE) /Former Name = Structural Engineering and Construction (ST) |
| Chairperson(s) | Nishino, Fumio ; Karasudhi, Pisidhi |
| Examination Committee(s) | Wireland, Martin |
| Scholarship Donor(s) | Royal Netherland Government |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1985 |