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Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Stability Analysis of Real‐Time Hybrid Simulation with an Inerter‐Type Experimental Substructure
https://orcid.org/0000-0002-7760-1475
https://orcid.org/0000-0002-5311-8542
ABSTRACTAlthough integrating inerters with conventional passive vibration control systems has shown enhanced performance in various studies, experimental investigations remain limited. Real‐time hybrid simulation (RTHS) models the well‐understood portion of a structure as the numerical substructure (NS) while physically testing the structural component of interest as the experimental substructure (ES). Testing the inerter as the ES in RTHS is considered cost‐effective and less facility demanding. However, RTHS experiences time delay induced by actuator dynamics, risking instability if not managed effectively. Consequently, stability analysis is crucial for the successful implementation of RTHS. Previous studies primarily focused on RTHS stability, including a stiffness‐type ES. The RTHS stability with an inerter‐type ES, characterized by a large mass ratio relative to the NS, remains underexplored. To address this gap, this study analyzes the RTHS stability, including an inerter‐type ES, implemented through various direct integration algorithms. Augmented state‐space equations are employed to solve the roots of the discrete RTHS system considering different values of time delay. Virtual RTHSs are performed to validate the analytical investigation. The time delay is found to increase the order of the discrete RTHS system, yielding more spurious roots. Moreover, the time delay in RTHS with a stiffness‐type ES primarily increases the magnitude of principal roots, whereas in RTHS with an inerter‐type ES, it mainly amplifies the magnitude of spurious roots, potentially inducing instability. Both analytical and simulation results show that the spurious root‐induced instability can be effectively mitigated by numerical damping.
Stability Analysis of Real‐Time Hybrid Simulation with an Inerter‐Type Experimental Substructure
https://orcid.org/0000-0002-7760-1475
https://orcid.org/0000-0002-5311-8542
ABSTRACTAlthough integrating inerters with conventional passive vibration control systems has shown enhanced performance in various studies, experimental investigations remain limited. Real‐time hybrid simulation (RTHS) models the well‐understood portion of a structure as the numerical substructure (NS) while physically testing the structural component of interest as the experimental substructure (ES). Testing the inerter as the ES in RTHS is considered cost‐effective and less facility demanding. However, RTHS experiences time delay induced by actuator dynamics, risking instability if not managed effectively. Consequently, stability analysis is crucial for the successful implementation of RTHS. Previous studies primarily focused on RTHS stability, including a stiffness‐type ES. The RTHS stability with an inerter‐type ES, characterized by a large mass ratio relative to the NS, remains underexplored. To address this gap, this study analyzes the RTHS stability, including an inerter‐type ES, implemented through various direct integration algorithms. Augmented state‐space equations are employed to solve the roots of the discrete RTHS system considering different values of time delay. Virtual RTHSs are performed to validate the analytical investigation. The time delay is found to increase the order of the discrete RTHS system, yielding more spurious roots. Moreover, the time delay in RTHS with a stiffness‐type ES primarily increases the magnitude of principal roots, whereas in RTHS with an inerter‐type ES, it mainly amplifies the magnitude of spurious roots, potentially inducing instability. Both analytical and simulation results show that the spurious root‐induced instability can be effectively mitigated by numerical damping.
Stability Analysis of Real‐Time Hybrid Simulation with an Inerter‐Type Experimental Substructure
https://orcid.org/0000-0002-7760-1475
https://orcid.org/0000-0002-5311-8542
ABSTRACTAlthough integrating inerters with conventional passive vibration control systems has shown enhanced performance in various studies, experimental investigations remain limited. Real‐time hybrid simulation (RTHS) models the well‐understood portion of a structure as the numerical substructure (NS) while physically testing the structural component of interest as the experimental substructure (ES). Testing the inerter as the ES in RTHS is considered cost‐effective and less facility demanding. However, RTHS experiences time delay induced by actuator dynamics, risking instability if not managed effectively. Consequently, stability analysis is crucial for the successful implementation of RTHS. Previous studies primarily focused on RTHS stability, including a stiffness‐type ES. The RTHS stability with an inerter‐type ES, characterized by a large mass ratio relative to the NS, remains underexplored. To address this gap, this study analyzes the RTHS stability, including an inerter‐type ES, implemented through various direct integration algorithms. Augmented state‐space equations are employed to solve the roots of the discrete RTHS system considering different values of time delay. Virtual RTHSs are performed to validate the analytical investigation. The time delay is found to increase the order of the discrete RTHS system, yielding more spurious roots. Moreover, the time delay in RTHS with a stiffness‐type ES primarily increases the magnitude of principal roots, whereas in RTHS with an inerter‐type ES, it mainly amplifies the magnitude of spurious roots, potentially inducing instability. Both analytical and simulation results show that the spurious root‐induced instability can be effectively mitigated by numerical damping.
Stability Analysis of Real‐Time Hybrid Simulation with an Inerter‐Type Experimental Substructure
Earthq Engng Struct Dyn
Tao, Junjie (Autor:in) / Mercan, Oya (Autor:in) / Duan, Yuanfeng (Autor:in) / Xing, Guohua (Autor:in)
11.02.2025
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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