A combined method for computing frequency responses of proportionally damped systems

Wu, Baisheng; Shen, Yang; Li, Zhengguang; Zheng, Shaopeng

doi:10.1016/j.ymssp.2015.01.018

Cited by 19 publications

(2 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, these methods are often applied only to beams and plates [12][13][14][15][16] (rather than cylindrical shells), systems with only proportional damping [17], or cited in patents [18][19] with little scientific justification. In most publications, the primary damping mechanism is material (structural) damping, whereas for a cardboard liner, significant damping may arise due to friction at the sliding interface.…”

Section: Introductionmentioning

confidence: 99%

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

Plattenburg

Dreyer

Singh

2016

Mechanical Systems and Signal Processing

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

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

Plattenburg

Dreyer

Singh

2016

Mechanical Systems and Signal Processing

View full text Add to dashboard Cite

show abstract

“…The two foundational papers in introducing the Krylov subspace method in this context are by Eid et al [16] and Han [17]. Three more widely cited papers building on the connection with the proportionally damped systems are Johnson and Wojtkiewicz [18], Wu et al [19], and Sepahvand and Marburg [20], where also material uncertainties are included in a similar way as here. Wu et al have continued with a series of papers [21,22].…”

Section: Introductionmentioning

confidence: 99%

Low-Rank Approximation of Frequency Response Analysis of Perforated Cylinders under Uncertainty

Hakula

Laaksonen

2022

Applied Sciences

View full text Add to dashboard Cite

Frequency response analysis under uncertainty is computationally expensive. Low-rank approximation techniques can significantly reduce the solution times. Thin perforated cylinders, as with all shells, have specific features affecting the approximation error. There exists a rich thickness-dependent boundary layer structure, leading to local features becoming dominant as the thickness tends to zero. Related to boundary layers, there is also a connection between eigenmodes and the perforation patterns. The Krylov subspace approach for proportionally damped systems with uncertain Young’s modulus is compared with the full system, and via numerical experiments, it is shown that the relative accuracy of the low-rank approximation of perforated shells measured in energy depends on the dimensionless thickness. In the context of frequency response analysis, it then becomes possible that, at some critical thicknesses, the most energetic response within the observed frequency range is not identified correctly. The reference structure used in the experiments is a trommel screen with a non-regular perforation pattern with two different perforation zones. The low-rank approximation scheme is shown to be feasible in computational asymptotic analysis of trommel designs when the proportional damping model is used.

show abstract

Development and Validation of Transportation Methodology by Predicting Dynamic Behavior of Container for Safe Transportation

Pachpore

Botre

Patil³

et al. 2019

Techno-Societal 2018

View full text Add to dashboard Cite

A combined method for computing frequency responses of proportionally damped systems

Cited by 19 publications

References 27 publications

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

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

Low-Rank Approximation of Frequency Response Analysis of Perforated Cylinders under Uncertainty

Development and Validation of Transportation Methodology by Predicting Dynamic Behavior of Container for Safe Transportation

Contact Info

Product

Resources

About