| dc.description.abstract | According to experience, when the structures go into the nonlinearity, the numerical divergence problem is prone to occur. Because the process of calculation becomes very complicated, the analysis cannot be completed successfully or the analysis time is too long. To solve the existing difficulties of traditional finite element analysis, this research introduces the New Implicit Nonlinear Dynamic Finite Element Method (hereinafter referred to as NINDFEM) to solve the structural motion equations and develop a series of nonlinear elements. This method is suitable for dealing with problems such as large deformation, large displacement, and rigid body motion. It can also consider the nonlinear dynamic behavior of each member under the limited condition of the structure, such as the collision between the beams, the falling of the bridge deck, and the situation of final collapse.
This research develops three-dimensional nonlinear truss elements, including the Bilinear Model and Gap or Hook Model, which are used to simulate the axial force components such as the tensile device of the bridge or the anti-dropping device of the bridge. The other three-dimensional element is a nonlinear connection and support element, including a bilinear model (Bilinear Model), a plastic model with a hole (Gap or Hook Model), and a Takeda model. It is used to simulate the nonlinear behavior of some bridge components and devices in earthquakes, such as the plastic hinge region at the bottom of the bridge column, expansion joints, etc.To verify the correctness of the developed three-dimensional elements, the analysis results will be compared under the same model and the same analysis conditions. Additionally, we compared the computational efficiency and accuracy of NINDFEM and the traditional finite element method. | en_US |