Implementation of complex Lanczos vectors considering non-proportional damping | |
| Author | Sonam, Karma |
| Call Number | AIT Thesis no.ST-03-12 |
| Subject(s) | Damping (Mechanics) Dynamics |
| Note | A thesis proposal submitted in partial fulfillment of the requirements for the degree of Master of Engineering |
| Publisher | Asian Institute of Technology |
| Abstract | The implementation of Lanczos vector without damping was previously done and this did not reflect the realistic representation in most of the structural models. So, in order to have a more realistic representation of the structural models Complex Lanczos vector is employed here. This method can be implemented using both proportional (Rayleigh) and non-proportional damping. The method is based on Lanczos method to generate one pair of Krylov subspaces consisting of trial vectors, which is then used to reduce a large eigenvalue problem into a much smaller one. In the process, the method preserves the sparseness and symmetry of the system matrices and does not invoke complex arithmetic. However, the eigenvalues and eigenvectors obtained are complex conjugate, but the displacement response ultimately is a real value since the imaginary terms cancel. |
| Year | 2003 |
| 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) | Kim, Kidu; |
| Examination Committee(s) | Worsak K. Nukulchai;Pichai Nimityongskul; |
| Scholarship Donor(s) | Asian Institute of Technology (Partial Scholarship) |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 2003 |