Novel operator-splitting methods for real-time dynamic substructure testing

Guoshan Xu

doi:10.1016/j.ymssp.2023.110727

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Novel operator-splitting methods for real-time dynamic substructure testing

2023-11-01

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许国山 (Guoshan Xu) *

Zhen Wang

DOI：10.1016/j.ymssp.2023.110727

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Abstract

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Improved and corrected Operator-Splitting (OS) methods are proposed for Real-Time Dynamic Substructure Testing (RTDST) in this paper. Firstly, the theory and the stability of two proposed OS methods are investigated. Furthermore, the effectiveness of two proposed OS methods is validated by RTDSTs with one pure mass specimen and one mass-stiffness specimen. By using the predictor velocity and acceleration as well as the correction force approximations, the improved OS method and the corrected OS method are explicit methods for RTDST. It is shown from the analytical and experimental results that the improved OS method is unconditionally stable for linear type and softening type stiffness and damping systems and conditionally stable for hardening type stiffness and damping system if the mass ratio of the experimental substructure to the numerical substructure is less than 1. In contrast, the improved OS method is unsuitable for RTDST if the mass ratio is larger than 1. The corrected OS method is unconditionally stable for the linear type and softening type stiffness and damping systems and conditionally stable for hardening type stiffness and damping systems. The stability of the corrected OS method is better than the improved OS method, which indicates the advantage of the corrected OS method over the improved OS method.

Keywords:

Operator-splitting method

Real-time dynamic substructure testing

Stability

Explicit method

Mass ratio