Active and passive damping patches on a thin rectangular plate: A refined analytical model with experimental validation

Mechanical Systems and Signal Processing

2016

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This paper proposes a new analytical model for a thin cylindrical shell that utilizes a homogeneous cardboard liner to increase modal damping. Such cardboard liners are frequently used as noise and vibration control devices for cylindrical shell-like structures in automotive drive shafts. However, most prior studies on such lined structures have only investigated the associated damping mechanisms in an empirical manner. Only finite element models and experimental methods have been previously used for characterization, whereas no analytical studies have addressed sliding friction interaction at the shell-liner interface. The proposed theory, as an extension of a prior experimental study, uses the Rayleigh-Ritz method and incorporates material structural damping along with frequencydependent viscous and Coulomb interfacial damping formulations for the shell-liner interaction. Experimental validation of the proposed model, using a thin cylindrical shell with three different cardboard liner thicknesses, is provided to validate the new model, and to characterize the damping parameters. Finally, the model is used to investigate the effect of the liner and the damping parameters on the modal attenuation of the shell vibration, in particular for the higher-order coupled shell modes.

Section: Nonlinear Eigensolution and Modal Mappingmentioning

confidence: 99%

mentioning

confidence: 99%

A new analytical model for vibration of a cylindrical shell and cardboard liner with focus on interfacial distributed damping

Mechanical Systems and Signal Processing

2016

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“…The analytical model proposed here is based on the work of Kung and Singh [6] and extended by Plattenburg et al [7] (where a more detailed analysis is given). Consider a thin rectangular steel plate of dimensions L x × L y with fixed boundaries and a number of active and passive patches.…”

Section: Analytical Modelmentioning

confidence: 99%

Modeling of Active and Passive Damping Patches with Application to a Transmission Casing Cover

SAE Int. J. Passeng. Cars - Mech. Syst.

2015

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Combined active and passive damping is a recent trend that can be an effective solution to challenging NVH problems, especially for lightweight vehicle components that demand advanced noise and vibration treatments. Compact patches are of particular interest due to their small size and cost, however, improved modeling techniques are needed at the design stage for such methods. This paper presents a refined modeling procedure for side-by-side active and passive damping patches applied to thin, plate-like, powertrain casing structures. As an example, a plate with fixed boundaries is modeled as this is representative of real-life transmission covers which often require damping treatments. The proposed model is then utilized to examine several cases of active and passive patch location, and vibration reduction is determined in terms of insertion loss for each case. Results are compared to an experiment with an actual transmission casing for validation, using piezoelectric active patches and constrained-layer passive patches with a viscoelastic core. Conclusions are drawn about patch size and location in terms of NVH reduction capability, and guidelines are suggested for the dynamic design process.

“…Nevertheless, combined (yet independent) active and passive damping treatments have attracted only limited attention. For example, studies were published on a beam and a thin plate by Lam et al [19] and Plattenburg et al [20], respectively, but no similar studies seem to exist for cylindrical shells in terms of concurrent active and passive damping. Based on the above mentioned voids in the literature, this article intends to develop a refined model (as an extension of prior work [1]), for the novel -unimorph‖ configuration, using a single active patch, that would modify the existing bimorph theory [7,9].…”

Section: Introductionmentioning

confidence: 99%

Vibration control of a cylindrical shell with concurrent active piezoelectric patches and passive cardboard liner

Mechanical Systems and Signal Processing

2017

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This article extends a recent publication [MSSP (2016), 176−196] by developing a Rayleigh-Ritz model of a thin cylindrical shell to predict its response subject to concurrent active and passive damping treatments. These take the form of piezoelectric patches and a distributed cardboard liner, since the effects of such combined treatments are yet to be investigated. Furthermore, prior literature typically considers only the-bimorph‖ active patch configuration (with patches on the inner and outer shell surfaces), which is not feasible with an interior passive liner treatment. Therefore, a novel configuration-termed as-unimorph‖-is proposed and included in the model. Experiments are performed on a shell with active patches (under harmonic excitation from 200 to 2000 Hz) in both the bimorph and unimorph configurations to provide evidence for the analytical model predictions. The proposed model is then employed to assess competing control system designs by examining local vs. global control schemes as well as considering several alternate active patch locations, both with and without the passive damping. Non-dimensional performance metrics are devised to facilitate comparisons of vibration attenuation among different designs. Finally, insertion loss values are measured under single-frequency excitation to evaluate several vibration control designs, and to compare the effects of alternate damping treatments.