| Summary: | 碩士 === 國立臺北科技大學 === 土木與防災研究所 === 95 === Since step-by-step integration methods have become widely used in the inelastic dynamic analysis, it is very important to assess their numerical characteristics in practical applications. Although the evaluation technique for evaluating the numerical properties of a step-by-step integration method in the solution of linear elastic systems has been well-developed it may not be directly applied to inelastic systems. The previous study has already probed into using step degree of nonlinearity parameter that describe the variation of stiffness in time step, but its shortcoming is that the extreme value of nonlinearity is difficult to assess, because the step degree of nonlinearity parameter and time step are close relations. In this paper, another kind of new parameter is used and defined as instantaneous degree of nonlinearity. The extreme value of this method is controlled by nature of material. After joining this new parameter, we can explore the numerical properties of the aforementioned dissipative integration methods for nonlinear elastic systems. Because the extreme value does not change with different time step, it will be easier to select the time step.
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