A nonlinear solution algorithm based on Ritz vector reduced space | |
| Author | Lin, Sheng-fa |
| Call Number | AIT Thesis no. ST-89-7 |
| Subject(s) | Vector spaces Structures, Theory of--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 | Severa l new Ri tz basis upd a ting sc h e mes h ave been i nvestigated for the solution of nonlinear s truc tural problems. It wa s found that wh e n eve r the error norm for spatial d istribution of the l oad exceeds a tolerance limit, only one Ritz vector corresponding to the updated unbalanced force should be added while all the previous Ritz vectors are maintained but reorthogona lize d t o t h e new vector. Several nonlin ear structural problems have been tested using t h e modified Newton- Raphson iteration t echnique in t h e reduced space , in conjunction with an automatic arc-length control. Comp l ex nonlinear equilibrium paths can be traced with surprisingly high accuracy , and at reduced computational cost. This confirms the same advantages of Ritz vectors for nonlinear analysis as enjoyed in dynamic analysis . |
| Year | 1989 |
| Type | Thesis |
| School | School of Civil Engineering |
| Department | Other Field of Studies (No Department) |
| Chairperson(s) | Worsak Kanok- Nukulchai |
| Examination Committee(s) | Karasudhi, Pisidhi ;Wireland, Martin ;Jain, Sudhir K. |
| Scholarship Donor(s) | The Government of Republic of China |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1989 |