| Summary: | 博士 === 國立臺北科技大學 === 工程科技研究所 === 99 === Analyzing dynamic responses of complex nonlinear structure systems through theoretical calculation is extremely difficult and the step-by-step integration method is the most frequently adopted way to conduct this analysis. Numerous efforts have recently been made for developing integration algorithm with controllable numerical dissipation in the high-frequency response domain, because it has been recognized that numerical dissipation is an effective way for suppressing the spurious high-frequency modes. Integration algorithms are generally divided into “explicit methods” and “implicit methods.” Explicit methods are computationally efficient, but not unconditionally stable; implicit methods, however, can be unconditionally stable, but their implementation in a computer program is more complex. In general, most integration methods with numerical dissipation are implicit methods.
The present study proposes a new explicit integration method which possesses computational efficiency of explicit methods, two order accuracy, unconditional stability, and controllable numerical dissipation that focuses on high-frequency responses but has no impact on low-frequency responses. This method is suitable not only for numerical analyses, but also for pseudodynamic tests due to the existence of numerical dissipation for eliminating the spurious high-frequency response. Furthermore, the study, based on numerical examples, pseudodynamic tests and analyses, supports advantageous numerical characteristics of the new explicit method proposed.
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