Application of the finite difference method to problems in plate and shell theory | |
| Author | Sakda Chansaenwilai |
| Call Number | AIT Thesis no. 64 |
| Subject(s) | Plates (Engineering) Shells (Engineering) |
| Note | A thesis submitted in partial fulfillment if the requirements for the degree of Master of Engineering in the SEATO Graduate School of Engineering, Bangkok, Thailand. |
| Publisher | Asian Institute of Technology |
| Abstract | The finite difference method is applied to both plate and shell problems. For plate problems, Lagrange’s differential equation is re¬ written in finite difference form in terms of unknown values of the def¬ lection at a finite number of points on the plate. The study is limited to two different boundary conditions, simply supported and built-in edges, for square plates. The effect of mesh size is also studied. For shell problems, Donnell's equations are used. These equations are expressed in finite difference form in terms of the three unknown displacement com¬ ponents by means of the modified finite difference technique suggested by K, P. Chuang and A. S. Veletsos. Details of this modified method are de¬ scribed, The shells of the same size but different boundaries are treated in this thesis. The applicability and accuracy of the modified method are studied for the single shell and the interior shell. For exterior shell, the results of an approximate method, suggested in the ASCE Manual No. 31, using one half of single shell and another half of interior shell are compared to more exact results and discussed. A proposal is given J for increasing efficiency of this approximate method. The numerical computations in this thesis are carried out on the IBM 1620 electronic digital computer. Details of the programs are shown to¬ gether with block diagrams. |
| Year | 1964 |
| Type | Thesis |
| School | Student Research Before 1979 |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Thesis (Year <=1979) |
| Chairperson(s) | Dr. K.H. Gerstle; |
| Examination Committee(s) | Dr. A.R. Cusens;Prof. Donato T. Teodoro;Dean Milton E. Bender, Jr. |
| Degree | Thesis (M.Eng.) - SEATO Graduate School of Engineering |