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Title |
An Analysis of Continuous Beam by Material Non-linear Transfer Matrix Method
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Keywords |
전달행렬법 ; 재료비선형 ; 강성행렬 ; 유한요소해석법 Transfer matrix method ; Material nonlinear ; Stiffness matrix ; Finite element method |
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Abstract |
This study is to develop nonlinear analysis algorithm for transfer matrix method, which can be applied to continuous beam analysis. Gauss-Lobatto integral rule is adopted and the transfer matrix is derived from stiffness matrix. In the transfer matrix method, the system equation has a constant number of unknowns regardless of number of D.O.F. Therefore, the transfer matrix method has computational efficiencies not only in linear elastic analysis but also in nonlinear analysis. To verify the developed method, the analysis results of several examples are compared with commercial code in moment-curvature, moment-displacement and load-displacement relation.
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