Free Vibration Analysis of Circular Cylindrical Shells: Comparison of Different Shell Theories

Farshidianfar, Anoshirvan; Oliazadeh, Pouria

doi:10.5923/j.mechanics.20120205.04

Cited by 24 publications

(8 citation statements)

References 16 publications

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“…However, in a paper by Farshidianfar, it was shown that the Soedel theory provides better results when compared to other theories considered. 24 Hence, in this paper, Soedel's shell theory for a thin-walled, simply supported, cylindrical shell is used to model the response of the shell due to a point excitation. 25 The resulting normal component of displacement is incorporated into Eq.…”

Section: Numerical Resultsmentioning

confidence: 99%

Active control of simply supported cylindrical shells using the weighted sum of spatial gradients control metric

Aslani

Sommerfeldt

Blotter

2018

The Journal of the Acoustical Society of America

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It is often desired to reduce sound radiated from cylindrical shells. Active structural acoustic control (ASAC) provides a means of controlling the structural vibration in a manner to efficiently reduce the radiated sound. Previous work has often required a large number of error sensors to reduce the radiated sound power, and the control performance has been sensitive to the location of error sensors. The ultimate objective is to provide global sound power reduction using a minimal number of local error measurements, while also minimizing any dependence on error sensor locations. Recently, a control metric referred to as weighted sum of spatial gradients (WSSG) was developed for ASAC. Specific features associated with WSSG make this method robust under a variety of conditions. In this work, the WSSG control metric is extended to curved structures, specifically a simply supported cylindrical shell. It is shown that global attenuation of the radiated sound power is possible using only one local error measurement. It is shown that the WSSG control metric provides a solution approximating the optimal solution of attenuating the radiated sound power, with minimal dependence on the error sensor location. Numerical and experimental results are presented to demonstrate the effectiveness of the method.

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Section: Numerical Resultsmentioning

confidence: 99%

Active control of simply supported cylindrical shells using the weighted sum of spatial gradients control metric

Aslani

Sommerfeldt

Blotter

2018

The Journal of the Acoustical Society of America

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“…Â óêàçàííîé ëèòåðàòóðå áîëüøîå âíèìàíèå óäåëÿåòñÿ îáîëî÷êàì âðàùåíèÿ, â ÷àñòíîñòè öèëèíäðè÷åñêèì. Ðÿä ðåçóëüòàòîâ ðåøåíèé äëÿ öèëèíäðè÷åñêèõ îáîëî÷åê, â òîì ÷èñëå è âçàèìîäåéñòâóþùèõ ñî ñðåäîé, ïðåäñòàâëåí â ñòàòüÿõ è ìàòåðèàëàõ äèññåðòàöèé [13][14][15][16][17][18][19][20][21][22][23]. Ñëåäóåò îòìåòèòü, ÷òî â ëèòåðàòóðå ìàëî âíèìàíèÿ óäåëÿåòñÿ îáîëî÷êàì êîíå÷íûõ ðàçìåðîâ è ñðàâíèòåëüíîìó àíàëèçó ðåçóëüòàòîâ àíàëèòè÷åñêèõ è ÷èñëåííûõ ðåøåíèé, â ÷àñòíîñòè, ñ èñïîëüçîâàíèåì ìåòîäà êîíå÷íûõ ýëåìåíòîâ.…”

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Analytical and Numerical Studies of Free Vibrations of Cylindrical Shell With Acoustic Medium

Dyachenko

Mironov

2021

PSP

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The research materials are related to the problem of ensuring vibration resistance of pipelines exposed to dynamic loads, for which increased vibration is the main cause of damage. The solution to this problem involves studying the parameters of free vibrations of the structure. The paper solves the problem of determining the natural frequencies and forms of vibrations of a section of a circular cylindrical shell filled with an medium considered in the acoustic approximation. The results of studies of the parameters of free vibrations were obtained both by the analytical method of shell theory based on the Kirchhoff-Love hypotheses, and using the finite element complex of engineering analysis ANSYS. It is shown that the influence of the medium density on the parameters of free vibrations of the shell depends on the ratio of the shell thickness to its radius it turns out to be significant only for the shape of vibrations associated with bending deformation, and insignificant for forms associated with deformations of the middle layer. A comparative analysis of the results of calculations obtained for models of compressible and incompressible medium shows that when solving the problem of determining the parameters of free vibrations of the shell, the compressibility of the medium can be neglected. At the same time, to solve practical problems that require taking into account the full spectrum of natural frequencies of the shell–medium system, a compressible medium model should be used, in which the results on the effect of shell stiffness on the frequency spectrum of the medium volume are obtained. When solving practical problems of pipeline systems vibration, the use of the finite element method in a coupled formulation is an effective tool that allows us to consider all physical processes taking into account their mutual influence on each other.

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“…They reported that some theories such as Love-Timoshenko, Arnold-Warburton, Flugge Byrne-Lur'ye, Reissner-Naghdi-Berry, Sanders, Vlasov, and Soedel produce the same results with respect to predicting the natural frequencies and mode shapes of the shell. Based on experimental data, they also stated that Soedel's model was one of the theories that provided more accurate results than some of the other theories and suggested that the Donnell-Mushtari theory is not as precise as other theories [77].…”

Section: Structural Behaviormentioning

confidence: 99%

Active control of cylindrical shells using the weighted sum of spatial gradients control metric

Aslani

Sommerfeldt

Blotter

2015

Journal of the Acoustical Society of America

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Active Control of Cylindrical Shells Using theWeighted Sum of Spatial Gradients (WSSG) Control Metric Pegah Aslani Department of Physics and Astronomy, BYU Doctor of Philosophy Cylindrical shells are common structures that are often used in industry, such as pipes, ducts, aircraft fuselages, rockets, submarine pressure hulls, electric motors and generators. In many applications it is desired to attenuate the sound radiated from the vibrating structure. There are both active and passive methods to achieve this purpose. However, at low frequencies passive methods are less effective and often an excessive amount of material is needed to achieve acceptable results. There have been a number of works regarding active control methods for this type of structure. In most cases a considerable number of error sensors and secondary sources are needed. However, in practice it is much preferred to have the fewest number of error sensors and control forces possible. Most methods presented have shown considerable dependence on the error sensor location. The goal of this dissertation is to develop an active noise control method that is able to attenuate the radiated sound effectively at low frequencies using only a small number of error sensors and secondary sources, and with minimal dependence on error sensor location. The Weighted Sum of Spatial Gradients control metric has been developed both theoretically and experimentally for simply supported cylindrical shells. The method has proven to be robust with respect to error sensor location. In order to quantify the performance of the control method, the radiated sound power has been chosen. In order to calculate the radiated sound power theoretically, the radiation modes have been developed for cylindrical shells. Experimentally, the radiated sound power without and with control has been measured using the ISO 3741 standard. The results show comparable, or in some cases better, performance in comparison with other known methods. Some agreement has been observed between model and experimental results. However, there are some discrepancies due to the fact that the actual cylinder does not appear to behave as an ideal simply supported cylindrical shell.

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Free Vibration Analysis of Circular Cylindrical Shells: Comparison of Different Shell Theories

Cited by 24 publications

References 16 publications

Active control of simply supported cylindrical shells using the weighted sum of spatial gradients control metric

Active control of simply supported cylindrical shells using the weighted sum of spatial gradients control metric

Analytical and Numerical Studies of Free Vibrations of Cylindrical Shell With Acoustic Medium

Active control of cylindrical shells using the weighted sum of spatial gradients control metric

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