Implementation of the Lanczos eigensolution algorithm in finite element analysis package | |
| Author | Kimura, Kenji |
| Call Number | AIT Thesis no.ST-88-12 |
| Subject(s) | Finite element method Eigenvalues Eigenfunctions |
| 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 capability to solve large-scale eigensystems for a number of fundamental eigenfrequencies and the corresponding mode shapes has been an important feature for the development of a powerful of eigensolutions finite element have been package . Various methods proposed for structural problems . Among them, the Lanczos algorithm for transforming the problem to a tridiagonal reduced eigensystem has been gaining increasing popularity in recent years due to its extreme efficiency. In this study, the Lanczos algorithm is impleme nted in a general finite element program FEAP. The effect of the size of subspace on the solution accuracy is investigated. Several numerical examples are presented to illustrate its superior p erformance in comparison with the subspace iteration . The algorithm is found to be an order of magnitude faster than the subspace iteration when a large number of eigenfrequencies are required. |
| Year | 1988 |
| 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) | Worsak Kanok-Nukulchai |
| Examination Committee(s) | Karasudhi, Pisidhi ;Sritawat Kitipornchai |
| Scholarship Donor(s) | The Government of Japan |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1988 |