Abstract
Integration algorithms are typically utilized in structural dynamics to obtain the solution to temporally discretized equations of motion. Stability is an important property to be considered when selecting the proper integration algorithm for analysis of structures with a large number of degrees of freedom. The recent development of real-time structural testing brings more challenges to the integration algorithm. An explicit integration algorithm is more favorable in realtime testing because of its computational efficiency. However, the presence of numerical errors will lead to the spurious growth of high-frequency response in the dynamic analysis and the presence of inevitable experimental errors will aggravate this effect in real-time structural testing. It is therefore advantageous for an explicit algorithm to possess controllable numerical damping to suppress any spurious participation of the high-frequency response while the lower modes can be integrated accurately. This paper presents the development of a family of explicit integration algorithms with controllable numerical damping. The properties of the proposed algorithm are investigated and compared with other well established algorithms.
Published Version
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