A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
New Unconditionally Stable Explicit Integration Algorithm for Real-Time Hybrid Testing
AbstractIn the numerical simulation of a real-time hybrid testing, integration algorithms are one of the most-effective methods to obtain solutions to discrete equations of motion at selected time steps. A variety of integration algorithms have been well established using different methods. In order to apply traditional integration algorithms to real-time hybrid testing, different assumptions are introduced in corresponding integration algorithms to make the expressions for both displacement and velocity explicit in form. In this paper, a pole-mapping rule from a discrete domain is used to develop a new explicit integration algorithm. Based on control theory, properties of all algorithms are investigated by a discrete transfer function approach. The stability analysis results show that both the Newmark method with constant average acceleration and the Chen and Ricles (CR) algorithm are unconditionally stable. Meanwhile, by assigning proper stable poles to the discrete transfer function, the newly developed algorithm can still be unconditionally stable. Accuracy analysis is carried out for the proposed algorithm and compared with other two unconditionally stable algorithms. It is shown that the proposed algorithm has a better accuracy than either the Newmark method or the CR algorithm, and provides more benefit in computational efficiency.
New Unconditionally Stable Explicit Integration Algorithm for Real-Time Hybrid Testing
AbstractIn the numerical simulation of a real-time hybrid testing, integration algorithms are one of the most-effective methods to obtain solutions to discrete equations of motion at selected time steps. A variety of integration algorithms have been well established using different methods. In order to apply traditional integration algorithms to real-time hybrid testing, different assumptions are introduced in corresponding integration algorithms to make the expressions for both displacement and velocity explicit in form. In this paper, a pole-mapping rule from a discrete domain is used to develop a new explicit integration algorithm. Based on control theory, properties of all algorithms are investigated by a discrete transfer function approach. The stability analysis results show that both the Newmark method with constant average acceleration and the Chen and Ricles (CR) algorithm are unconditionally stable. Meanwhile, by assigning proper stable poles to the discrete transfer function, the newly developed algorithm can still be unconditionally stable. Accuracy analysis is carried out for the proposed algorithm and compared with other two unconditionally stable algorithms. It is shown that the proposed algorithm has a better accuracy than either the Newmark method or the CR algorithm, and provides more benefit in computational efficiency.
New Unconditionally Stable Explicit Integration Algorithm for Real-Time Hybrid Testing
Lou, Menglin (author) / Tang, Yu
2017
Article (Journal)
English
Real-Time Hybrid Testing Using an Unconditionally Stable Explicit Integration Algorithm
| British Library Conference Proceedings | 2008
New Unconditionally Stable Explicit Integration Algorithm for Real-Time Hybrid Testing
| Online Contents | 2017
Real-time hybrid testing using the unconditionally stable explicit CR integration algorithm
| Online Contents | 2009