UNCONDITIONALLY STABLE EXPLICIT INTEGRATION ALGORITHMS WITH CONTROLLABLE NUMERICAL DAMPING FOR REAL-TIME HYBRID SIMULATION

摘要

Integration algorithms are typically utilized in structural dynamics to obtain solutions for temporally discretized equations of motion. Recent development of real-time structural testing brings more challenges to researchers in terms of integration algorithm. An explicit integration algorithm is more favorable in real-time structural testing because of its computational efficiency. However, most existing explicit integration algorithms do not possess numerical damping to suppress any spurious participation of high-frequency modes due to numerical and experimental errors. This paper presents a family of unconditionally stable explicit integration algorithms with numerical damping that can be adjusted based on application. The property of the new explicit integration algorithm is analyzed in terms of stability and accuracy for single-degree-of-freedom (SDOF) systems. The new algorithms are demonstrated to be able to introduce comparable numerical damping with the well established HHT α-method when the integration parameters are selected properly.