Hybrid formulation of operator splitting (OS) and Newmark‐β methods for collaborative structural analysis (CSA) |
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| Authors: | Peng Pan Motohide Tada |
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| Institution: | 1. Department of Civil Engineering, Tsinghua University, Beijing 100084, People's Republic of China;2. Key Laboratory of Structural Engineering and Vibration of China Education Ministry, Tsinghua University, Beijing 100084, People's Republic of China;3. Department of Architectural Engineering, Graduate School of Engineering, Osaka University, Yamadaoka, Suita, Osaka 565‐0871, Japan |
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| Abstract: | A collaborative structural analysis (CSA) system is developed, which is capable of performing highly sophisticated structural analyses utilizing beneficial features of existing individual structural analysis programs. In the system, the global equations of motion for the overall structural system are formulated in the host program. Some substructures, whose behaviors are relatively simple, are directly solved in the host program, whereas those having complex behavior are analyzed by the station programs. A time‐consuming static condensation procedure is needed for the substructures analyzed by the station programs if adopting an implicit integration scheme. The operator splitting (OS) method, which does not require tangential stiffness, can be used to improve the system efficiency. To this end, a hybrid formulation of the Newmark‐β and OS methods is proposed, and a CSA scheme based on the hybrid formulation is developed. In the CSA system adopting the hybrid formulation, the degrees of freedom whose tangential stiffness are unavailable are formulated by the OS method, whereas the rest are still formulated by the commonly used Newmark‐β method. Using the system, analyses of a three‐story‐braced steel moment‐resisting frame are conducted. In the analyses, the column bases are analyzed using the commercial finite element method software ABAQUS, and the remaining structural elements are analyzed using a frame analysis program called NETLYS. Results suggest that the hybrid formulation is very effective for the CSA system. Copyright © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | collaborative structural analysis operator splitting method hybrid formulation general‐purpose finite element program steel moment‐resisting frame |
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