| Summary: | 碩士 === 國立交通大學 === 土木工程系所 === 106 === In the traditional analysis of geometric nonlinearity, the most popular method is formulated on the basis of weak-form such as the finite element method. Due to the element nature, its application is limited, for instance, by the numerical integration in the governing equation and the quality control of deformed mesh. The meshfree methods have been developed and become one leading research topic in the field of computational mechanics since 1990s. In particular, the strong form collocation methods require no additional efforts to deal with numerical integration and impose Dirichlet boundary conditions, thereby making the collocation methods computationally efficient. Concerning geometric nonlinearity, how to accurately reflect the change in the slope of the load-deflection curve of the structure and remain numerically stable are of major concerns in the incremental-iterative process. As a result, we propose a strong-form formulated generalized displacement control method to analyze geometrically nonlinear problems, where the radial basis collocation method is adopted. The numerical examples demonstrate the ability of the proposed method for large deformation analysis.
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