Modified predictor–corrector numerical scheme for real-time pseudo dynamic tests using state-space formulation

✍ Scribed by Yunfeng Zhang; Richard Sause; James M. Ricles; Clay J. Naito

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 876 KB
• Volume: 34
• Category: Article
• ISSN: 0098-8847
• DOI: 10.1002/eqe.425

✦ Synopsis

Abstract

This paper deals with an explicit numerical integration method for real‐time pseudo dynamic tests. The proposed method, termed the MPC‐SSP method, is suited to use in real‐time pseudo dynamic tests as no iteration steps are involved in each step of computation. A procedure for implementing the proposed method in real‐time pseudo dynamic tests is described in the paper. A state‐space approach is employed in this study to formulate the equations of motion of the system, which is advantageous in real‐time pseudo dynamic testing of structures with active control devices since most structural control problems are formulated in state space. A stability and accuracy analysis of the proposed method was performed based on linear elastic systems. Owing to an extrapolation scheme employed to predict the system's future response, the MPC‐SSP method is conditionally stable. To demonstrate the effectiveness of the MPC‐SSP method, a series of numerical simulations were performed and the performance of the MPC‐SSP method was compared with other pseudo dynamic testing methods including Explicit Newmark, Central Difference, Operator Splitting, and OS‐SSP methods based on both linear and non‐linear single‐degree‐of‐freedom systems. Copyright © 2004 John Wiley & Sons, Ltd.