| Summary: | 碩士 === 國立臺北科技大學 === 土木與防災研究所 === 98 === For the solution of structural dynamic problems, step-by-step integration methods are widely used and the methods that have numerical dissipation are considered to be important in the development of a new integration method. Although implicit methods can generally have unconditional stability, explicit methods generally preferred over implicit methods since they involve no iteration procedure or extra hardware in the pseudodynamic testing. This paper will propose a new family of unconditionally stable explicit method with numerical dissipation, which is bested to solving general structural dynamic problems. Due to the explicitness of each time step, this integration method can be implemented as simply as a general explicit method. In addition, the spurious participation of high frequency responses can be effectively eliminated in performing a pseudodynamic test since it has desired numerical dissipation. Numerical characteristics of this method in the solution of linear and nonlinear systems are analytically explored and analytical results are further confirmed through the numerically simulations and the actual pseudo-dynamic testing.
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