Including connecting elements into the Lagrange multiplier state-space substructuring formulation

Dias, R. S. O.; Martarelli, Milena; Chiariotti, Paolo

doi:10.1016/j.jsv.2022.117445

Cited by 2 publications

(2 citation statements)

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“…Hence, any kind of signal that excites frequencies included in the frequency band for which the dynamics of the system is relevant (i.e. approximately, from 20 Hz to 500 Hz (see [14], [15])) could have been used.…”

Section: Experimental Validation 31 Testing Campaignmentioning

confidence: 99%

“…The use of LPV models is indeed advantageous as it enables the characterization of assembled systems presenting time-varying dynamic behaviour subjected to any kind of excitation. In alternative, one may also think on exploiting these LPV models to characterize the dynamic behaviour of simple components presenting time-varying dynamic behaviour, which can then be included in the complete assembly through State-Space Substructuring (see, for instance, [12], [13], [14], [15]).…”

Section: Introductionmentioning

confidence: 99%

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On the prediction of the time-varying behaviour of dynamic systems by interpolating state-space models

Dias,

Martarelli,

Chiariotti

2024

J. Phys.: Conf. Ser.

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In this article, a local Linear Parameter Varying (LPV) model identification approach is exploited to analyze the dynamic behaviour of a structure whose dynamics varies over time. This structure is composed by two aluminum crosses connected by a rubber mount. To observe time-dependent variations on the dynamics of this assembly, it is placed in a climate chamber and submitted to a six minute temperature run-up. During this run-up the structure is continuously excited by a shaker. The load provided by this device is measured by a load cell, while six accelerometers are measuring the responses of the system. The temperatures of the air inside the climate chamber and at the surface of the mount are also continuously measured. It is found that during the performed temperature run-up, the rubber mount temperature increased from, roughly, 14℃ to, approximately, 35.2℃. By using the measured load provided by the shaker and the measured accelerations, Frequency Response Functions (FRFs) at five different rubber mount temperatures are computed. From each of these sets of FRFs, state-space models are estimated. Afterwards, these models are used to define an interpolating LPV model, which enables the computation of interpolated state-space models representative of the dynamics of the system at each time sample. It is found that by feeding the interpolated state-space models with the measured load, an accurate simulation of the measured accelerations is obtained. Moreover, by exploiting a joint input-state estimation algorithm with the interpolated state-space models and with the measured accelerations, a very good prediction of the applied load can be obtained. It is also shown that if the time dependency of the dynamics of the system is ignored, the results are less accurate.

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Section: Experimental Validation 31 Testing Campaignmentioning

confidence: 99%