Summary A complete earthquake time history analysis (THA) requires a stable, accurate, and efficient dynamic integration algorithm. It is not rare to encounter numerical divergence when some implicit algorithms are used to deal with severe materially or geometrically nonlinearities. For explicit algorithms, computational efficiency is always a major concern. A temporal hybrid dynamic algorithm (THDA) strategy, which is specialized in the inelastic THAs of high‐rise reinforced concrete (RC) structures experiencing severe plasticity development, is developed herein. A preliminary evaluation is carried out on three low‐rise structural models, that is, two frame structures and one wall‐frame structure, for each group of collected implicit algorithms and explicit algorithms. From the evaluation, four alternatives are generated for the subsequent detailed assessment. A general framework for the THDA is proposed and implemented on a finite element analytical platform. The four alternatives are assessed based on their performance on a high‐rise frame core‐tube RC structure. The assessment indicates that the proposed THDA strategy can give rise to a more compatible dynamic integration algorithm for the complete THAs of high‐rise building structures when they are experiencing severe damage. The concerns about the computational stability, accuracy, and efficiency of the dynamic algorithms can be well balanced by the THDA.
Based on the understanding about the spatial distribution of plasticity development in super high-rise building structures excited with strong earthquakes, a temporal-spatial hybrid dynamic algorithm (TSHDA) strategy is specifically proposed with the combination of the previously developed bilateral algorithm switch mechanism. The coupling response of partitioned subdomains and interfaces by the nodal partition strategy is solved using the iterative interfacial prediction-correction procedure. Four implicit and two explicit algorithms are selected and implemented on a finite element analytical platform, generating a total of eight alternative hybrid algorithms. A performance evaluation is carried out on a high-rise reinforced concrete frame structure, and a super high-rise frame core-tube structure indicates that using the TSHDA strategy can achieve a more desirable balance among accuracy, stability, and efficiency. Such strategy is believed to be elaborately tailored for those mega structures with some strengthened stories distributed along height. The computational accuracy is well maintained by the bilateral algorithm switch which can substantially reduce the error accumulated in the determination of the incremental internal force vectors of subdomains and interfaces. The hybrid DKNR + CA algorithm, that is, the combination of the Krylov subspace accelerated Newton (KNR) algorithm with Chang's algorithm (CA), demonstrates comparatively desirable accuracy and superior efficiency.
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