Generalized‐α methods for seismic structural testing

Bonelli, Alessio; Bursi, Oreste S.

doi:10.1002/eqe.390

Cited by 36 publications

(37 citation statements)

References 24 publications

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“…This avoids problems with scaling effects, especially for materials such as reinforced concrete. This type of testing has been carried out successfully for several years by using expanded time scales, known as pseudo-dynamic (PsD) testing [3][4][5][6][7][8]. Nonetheless, dynamic and rate-dependent restoring forces must be estimated, because only static forces can be measured from the PS owing to the expanded time scales.…”

Section: Introductionmentioning

confidence: 98%

Novel coupling Rosenbrock‐based algorithms for real‐time dynamic substructure testing

Bursi

Gonzalez-Buelga

Vulcan

et al. 2007

Earthq Engng Struct Dyn

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SUMMARYReal-time testing with dynamic substructuring is a novel experimental technique capable of assessing the behaviour of structures subjected to dynamic loadings including earthquakes. The technique involves recreating the dynamics of the entire structure by combining an experimental test piece consisting of part of the structure with a numerical model simulating the remainder of the structure. These substructures interact in real time to emulate the behaviour of the entire structure. Time integration is the most versatile method for analysing the general case of linear and non-linear semi-discretized equations of motion. In this paper we propose for substructure testing, L-stable real-time (LSRT) compatible integrators with two and three stages derived from the Rosenbrock methods. These algorithms are unconditionally stable for uncoupled problems and entail a moderate computational cost for real-time performance. They can also effectively deal with stiff problems, i.e. complex emulated structures for which solutions can change on a time scale that is very short compared with the interval of time integration, but where the solution of interest changes on a much longer time scale. Stability conditions of the coupled substructures are analysed by means of the zero-stability approach, and the accuracy of the novel algorithms in the coupled case is assessed in both the unforced and forced conditions. LSRT algorithms are shown to be more competitive than popular Runge-Kutta methods in terms of stability, accuracy and ease of implementation. Numerical simulations and real-time substructure tests are used to demonstrate the favourable properties of the proposed algorithms.

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Section: Introductionmentioning

confidence: 98%

Novel coupling Rosenbrock‐based algorithms for real‐time dynamic substructure testing

Bursi

Gonzalez-Buelga

Vulcan

et al. 2007

Earthq Engng Struct Dyn

Self Cite

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“…Such a hybrid testing method could help to reduce the overall cost of the experiment and at the same time offer the possibility of observing full scale dynamics. One such approach is real-time dynamic substructuring (see, for instance, Blakeborough et al 2001;Bonelli & Bursi 2004;Horiuchi & Konno 2001;Nakashima 2001;Pinto et al 2004;Wallace et al 2004;. This method consists of dividing the test structure into two parts.…”

Section: Introductionmentioning

confidence: 99%

Real-time dynamic substructuring in a coupled oscillator–pendulum system

et al. 2006

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Real-time dynamic substructuring is a powerful testing method, which brings together analytical, numerical and experimental tools for the study of complex structures. It consists of replacing one part of the structure with a numerical model, which is connected to the remainder of the physical structure (the substructure) by a transfer system. In order to provide reliable results, this hybrid system must remain stable during the whole test. A primary mechanism for destabilization of these type of systems is the delays which are naturally present in the transfer system. In this paper, we apply the dynamic substructuring technique to a nonlinear system consisting of a pendulum attached to a mechanical oscillator. The oscillator is modelled numerically and the transfer system is an actuator. The system dynamics is governed by two coupled second-order neutral delay differential equations. We carry out local and global stability analyses of the system and identify the delay dependent stability boundaries for this type of system. We then perform a series of hybrid experimental tests for a pendulum–oscillator system. The results give excellent qualitative and quantitative agreement when compared to the analytical stability results.

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“…In this paper, the numerical integration method speciÿed by Equations (3), (4) and (8)- (10) is called the OSM-RST. For further background, see the more general predictor and corrector velocity formulations proposed for the generalized-method by Hulbert and Chung [16], their application to real-time PDT by Bonelli and Bursi [7], and the development of the -OS method for PDT by Combescure and Pegon [17]. Note that, within the current state-of-the-practice of servohydraulic control, it is hard to simultaneously achieve velocity and displacement feedback control even if an explicit target velocity as well as displacement is available.…”

Section: Operator Splitting Methods For Rstmentioning

confidence: 99%

Operator‐splitting method for real‐time substructure testing

Wang

et al. 2005

Earthq Engng Struct Dyn

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SUMMARYIt has been shown that the operator-splitting method (OSM) provides explicit and unconditionally stable solutions for quasi-static pseudo-dynamic substructure testing. However, the OSM provides only an explicit target displacement but not an explicit target velocity, so that it is essentially an implicit method for real-time substructure testing (RST) when the velocity-dependent restoring force is considered. This paper proposes a target velocity formulation based on the forward di erence of the predicted displacements so as to render the OSM explicit for RST. The stability and accuracy of the resulting OSM-RST algorithm are investigated. It is shown that the OSM-RST is unconditionally stable so long as the non-linear sti ness and damping are of the softening type (i.e. the tangent sti ness and damping never exceed the initial values). The stability of the OSM-RST for structures with inÿnite tangent damping coe cient or sti ness is also proved, and the stability of the method for MDOF structures with a non-classical damping matrix is demonstrated by an energy criterion. The e ects of actuator delay and compensation are analysed based on the bilinear approximation of the actuator step response. Experiments on damped SDOF and MDOF structures verify that the stability of the OSM-RST is preserved when the experimental substructure generates velocity-dependent reaction forces, whereas the stability of real-time substructure tests based on the central di erence method is worsened by the damping of the specimen.

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Generalized‐α methods for seismic structural testing

Cited by 36 publications

References 24 publications

Novel coupling Rosenbrock‐based algorithms for real‐time dynamic substructure testing

Novel coupling Rosenbrock‐based algorithms for real‐time dynamic substructure testing

Real-time dynamic substructuring in a coupled oscillator–pendulum system

Operator‐splitting method for real‐time substructure testing

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