Substructurability: the effect of interface location on a real-time dynamic substructuring test

A full-scale experimental test for large and complex structures is not always achievable. This can be due to many reasons, the most prominent one being the size limitations of the test. Real-time dynamic substructuring is a hybrid testing method where part of the system is modelled numerically and the rest of the system is kept as the physical test specimen. The numerical–physical parts are connected via actuators and sensors and the interface is controlled by advanced algorithms to ensure that the tested structure replicates the emulated system with sufficient accuracy. The main challenge in such a test is to overcome the dynamic effects of the actuator and associated controller, that inevitably introduce delay into the substructured system which, in turn, can destabilize the experiment. To date, most research concentrates on developing control strategies for stable recreation of the full system when the interface location is given a priori. Therefore, substructurability is mostly studied in terms of control. Here, we consider the interface location as a parameter and study its effect on the stability of the system in the presence of delay due to actuator dynamics and define substructurability as the system’s tolerance to delay in terms of the different interface locations. It is shown that the interface location has a major effect on the tolerable delays in an experiment and, therefore, careful selection of it is necessary.

[1]  Janos Turi,et al.  Delayed feedback of sampled higher derivatives , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[2]  Jia-Ying Tu,et al.  Modelling and control issues of dynamically substructured systems: adaptive forward prediction taken as an example , 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[3]  J. Tu,et al.  Substructurability and exact synchronisation analysis , 2013 .

[4]  David J. Wagg,et al.  Real-Time Testing With Dynamic Substructuring , 2008 .

[5]  Martin S. Williams,et al.  REAL-TIME SUBSTRUCTURE TESTS USING HYDRAULIC ACTUATOR , 1999 .

[6]  M. Nakashima,et al.  Japanese Activities on On‐Line Testing , 1987 .

[7]  Masayoshi Nakashima,et al.  Development of real‐time pseudo dynamic testing , 1992 .

[8]  James M. Ricles,et al.  Large‐scale real‐time hybrid simulation involving multiple experimental substructures and adaptive actuator delay compensation , 2012 .

[9]  David J. Wagg,et al.  Modern Testing Techniques for Structural Systems , 2008 .

[10]  Motohiko Hakuno,et al.  DYNAMIC DESTRUCTIVE TEST OF A CANTILEVER BEAM, CONTROLLED BY AN ANALOG-COMPUTER , 1969 .

[11]  S. Lefschetz,et al.  Qualitative Methods in Mathematical Analysis , 1964 .

[12]  D. Wagg,et al.  Real-time dynamic substructuring in a coupled oscillator–pendulum system , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[13]  Y. Kuang Delay Differential Equations: With Applications in Population Dynamics , 2012 .

[14]  Y. Namita,et al.  Real‐time hybrid experimental system with actuator delay compensation and its application to a piping system with energy absorber , 1999 .

[15]  David J. Wagg,et al.  Nonlinear Vibration with Control , 2010 .

[16]  M. I. WALLACE,et al.  MULTI-ACTUATOR SUBSTRUCTURE TESTING WITH APPLICATIONS TO EARTHQUAKE ENGINEERING : HOW DO WE ASSESS ACCURACY ? , 2002 .

[17]  Stephen A. Mahin,et al.  Pseudodynamic Test Method—Current Status and Future Directions , 1989 .

[18]  David J. Wagg,et al.  Stability analysis of real‐time dynamic substructuring using delay differential equation models , 2005 .

[19]  Andreas Amann,et al.  Analytical limitation for time-delayed feedback control in autonomous systems. , 2011, Physical review letters.

[20]  Gábor Stépán,et al.  Exact stability chart of an elastic beam subjected to delayed feedback , 2016 .

[21]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[22]  Gábor Stépán,et al.  Continuation of Bifurcations in Periodic Delay-Differential Equations Using Characteristic Matrices , 2006, SIAM J. Sci. Comput..

[23]  Gábor Stépán,et al.  Semi-Discretization for Time-Delay Systems: Stability and Engineering Applications , 2011 .

[24]  David J. Wagg,et al.  Control issues relating to real‐time substructuring experiments using a shaking table , 2005 .

[25]  Antony Darby,et al.  The development of real–time substructure testing , 2001, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.