A Family of Non-iterative Integration Method with Desired Numerical Dissipation
碩士 === 國立臺北科技大學 === 土木與防災研究所 === 101 === A family of integration methods has been developed for structural dynamics and earthquake engineering. In general, it has unconditional stability and second order accuracy. In addition, it can possess the favorable numerical dissipation properties that can be...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2013
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| Online Access: | http://ndltd.ncl.edu.tw/handle/bzt5h6 |
| Summary: | 碩士 === 國立臺北科技大學 === 土木與防災研究所 === 101 === A family of integration methods has been developed for structural dynamics and earthquake engineering. In general, it has unconditional stability and second order accuracy. In addition, it can possess the favorable numerical dissipation properties that can be continuously controlled. In particular, it can have zero damping. This numerical damping is helpful to suppress or even eliminate the spurious growth of high frequency modes while the low frequency modes are almost unaffected. The most important improvement of this family method is that it involves no nonlinear iterations for each time step and thus it is very computationally efficient when compared to a general second-order accurate integration method, such as the constant average acceleration method.
Numerical properties of the proposed family method are obtained through the basic analysis and are confirmed by numerical examples. In addition, its application to pseudodynamic testing is also implemented and a series of actual pseudodynamic tests are performed to confirm the feasibility and superiority of the proposed family method.
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