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035 _a.b1013878x
099 9 _aAIT Thesis no. ST-80-04
100 1 _aDayawansa, Peduru Hewa
245 1 0 _aChoice of shape functions for exact finite-element solution to beam and plate problems
260 _aBangkok :
_bAsian Institute of Technology,
_c1980
300 _aiv, 45 p.
490 1 _aThesis ;
_vno. ST-80-04
500 _aA thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology
502 _aThesis (M.Eng.) - Asian Institute of Technology, 1980
520 _aThe conventional guide lines for selecting shape functions of a finite element generally lead to approximate finite element solutions. An investigation is conducted on conditions. of shape Junctions, by which an exact finite element solution may be possible. Tong has earlier proved for one-dimensional problems with single dependent variable that shape functions must satisfy homogeneous Euler's equation to give exact solution. The concept is generalized in this study to one-dimensional problems with many dependent variables. It is then applied to a class of thick beam problems. Numerical results of several thick and thin beam examples show undisputedly a good agreement with the theory -. --- exact solution is obtained even with a single element model. The concept is further extended to two-dimensional plate problems. Unlike the case of one dimensional beam, several difficulties are encountered. The most important one is the over-rigid requirement imposed on the number of element degrees-of-freedom. As a result, these degrees-of freedom cannot be accommodated by either a quadrilateral or a triangular element. An attempt is therefore made to relax this requirement. Two plate elements are developed on this basis and the results seem to be satisfactory.
650 0 _aGirders
_xMathematical models
650 0 _aFinite element method
650 0 _aElastic plates and shells
700 0 _aWorsak Kanok-Nukulchai,
_eChairperson
700 1 _aKarasudhi, Pisidhi,
_eExamination Committee
700 1 _aKawaguchi, Masahiro,
_eExamination Committee
710 2 _aGovernment of Canada,
_eScholarship Donor
810 2 _aAsian Institute of Technology.
_tThesis ;
_vno. ST-80-04
856 _3Full-Text
_uhttp://203.159.5.9/ait-thesis/detail.php?q=B22118
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