Computational Techniques for Simulation of Monolithic and Heterogeneous Structural Dynamic Systems

Bursi, Oreste S.

doi:10.1007/978-3-211-09445-7_1

Cited by 7 publications

(11 citation statements)

References 83 publications

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“…Similar results for the Rosenbrock-based algorithms, which are unconditionally stable for monolithic systems and labeled as LSRT1-3, respectively, for one to three-stage methods, can be found in [18]. It is shown there that the LSRT2 and LSRT3 may lose unconditional stability for the split-mass system as shown in Figure 1.…”

Section: Pure Inertia Specimensupporting

confidence: 69%

“…It is worth noticing that, through a zero-stability analysis, Bursi et al showed that the stability of the split-mass system depended on mass ratios, independently on the single-step algorithm used [15,18]. With the same analysis method, it is not difficult to obtain that the spectral radius of the amplification matrix connecting outputs of the system at consecutive steps, labeled as (D) in [22], is equal to m for the CDM in this paper.…”

Section: Pure Inertia Specimenmentioning

confidence: 82%

“…Nguyen and Dorka showed that the Newmark average acceleration method became conditionally stable when the loading commands for the dynamic substructure were sent off as a linear ramp function of time [14]. Although there have been successful applications of explicit algorithms to dynamic specimen [3,4,15,16] and some discussions on stability related to time delay [17] or coupling between numerical and experimental substructures [15,18], the impact of specimen mass on the stability of the CDM has not been explored. This paper will focus on the stability issue of the CDM arising in its implementation to RSTing with dynamic experimental substructure.…”

Section: Introductionmentioning

confidence: 99%

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Stability of central difference method for dynamic real‐time substructure testing

Deng

Xian-dong

2009

Earthq Engng Struct Dyn

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SUMMARYThis paper studies the stability of the central difference method (CDM) for real-time substructure test considering specimen mass. Because the standard CDM is implicit in terms of acceleration, to avoid iteration, an explicit acceleration formulation is assumed for its implementation in real-time dynamic substructure testing. The analytical work shows that the stability of the algorithm decreases with increasing specimen mass if the experimental substructure is a pure inertia specimen. The algorithm becomes unstable however small the time integration interval is, when the mass of specimen equal or greater than that of its numerical counterpart. For the case of dynamic specimen, the algorithm is unstable when there is no damping in the whole test structure; a damping will make the algorithm stable conditionally. Part of the analytical results is validated through an actual test.

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Section: Pure Inertia Specimensupporting

confidence: 69%

Section: Pure Inertia Specimenmentioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

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Stability of central difference method for dynamic real‐time substructure testing

Deng

Xian-dong

2009

Earthq Engng Struct Dyn

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“…The typical applications of hybrid simulation are mechanical systems with elements that are too difficult or even impossible to model numerically. In hybrid simulation these elements are tested experimentally [1,2].…”

Section: Introductionmentioning

confidence: 99%

Mountain bicycle frame testing as an example of practical implementation of hybrid simulation using RTFEM

Mucha

Kuś

2018

AIP Conference Proceedings

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Abstract. The paper presents a practical implementation of hybrid simulation using Real Time Finite Element Method (RTFEM). Hybrid simulation is a technique for investigating dynamic material and structural properties of mechanical systems by performing numerical analysis and experiment at the same time. It applies to mechanical systems with elements too difficult or impossible to model numerically. These elements are tested experimentally, while the rest of the system is simulated numerically. Data between the experiment and numerical simulation are exchanged in real time. Authors use Finite Element Method to perform the numerical simulation. The following paper presents the general algorithm for hybrid simulation using RTFEM and possible improvements of the algorithm for computation time reduction developed by the authors. The paper focuses on practical implementation of presented methods, which involves testing of a mountain bicycle frame, where the shock absorber is tested experimentally while the rest of the frame is simulated numerically.

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“…We will exploit a state of the art of the dynamic testing technique known as Real-Time Dynamic Substructuring (RTDS) [6], for the assessment of passive systems in real scenarios. RTDS testing is an efficient method for the assessment of dynamic and ratedependent behavior of systems subjected to dynamic excitation.…”

Section: Introductionmentioning

confidence: 99%

On the assessment of passive devices for structural control via real-time dynamic substructuring

Londoño

Serino

Wagg

et al. 2011

Struct. Control Health Monit.

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In this work the applicability of a dynamic testing technique known as RealTime Dynamic Substructuring (RTDS) for the assessment of passive control systems in seismic protection of buildings is analysed. RTDS is an efficient method for the assessment of dynamic and rate-dependent behavior of systems subjected to dynamic excitation at real scale and in real scenarios. To guarantee the validity and accuracy of a RTDS simulation, a stability analysis of the substructured system should be completed. In this paper we present explicit analyses which provide a dynamic characterization of the delay-induced phenomena in RTDS tests when considering passive control systems with strong nonlinearities. We present a complete set of closed-form expression to describe the main phenomena due to the delay in terms of dynamic stability in a RTDS simulation. Through an experimental study we confirm the existence of self-sustained oscillations. Those were caused by very small delays in the feedback loop, which unavoidably lead the system to instability as a result of the high frequency oscillations.

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Computational Techniques for Simulation of Monolithic and Heterogeneous Structural Dynamic Systems

Cited by 7 publications

References 83 publications

Stability of central difference method for dynamic real‐time substructure testing

Stability of central difference method for dynamic real‐time substructure testing

Mountain bicycle frame testing as an example of practical implementation of hybrid simulation using RTFEM

On the assessment of passive devices for structural control via real-time dynamic substructuring

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