A study on the mode pair of a slightly asymmetric circular ring with multiple deviations

Park, Han Gil; Lee, Jang Moo; Kang, Yeon June; Kim, Seock Hyun

doi:10.1016/j.jsv.2007.08.010

Cited by 8 publications

(7 citation statements)

References 8 publications

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“…However, the addition of a mass segment makes the frequencies of a pair unequal. For the ring considered previously, the frequency splits obtained from equations ( 3) to ( 6) due to an added mass segment are presented in Table 1 and are in good agreement with those of Park et al (2008).…”

Section: Effect Of An Added Mass Segment On the Frequencies Of A Perf...supporting

confidence: 69%

“…The frequency split trimming problem of axisymmetric shell-type structures is investigated here by examining their dynamic behavior using a model of a vibrating ring which is prototypical to all axisymmetric structures. The equations governing the vibrations of a thin ring 1 of radius R undergoing in-plane motion are derived in Hong and Lee (1994); Park et al (2008) as…”

Section: The Modelmentioning

confidence: 99%

“…Most of the past research addressing axisymmetric structures with carried masses (or imperfections) either considered perturbations idealized to be of the "point mass" form as in Fox (1990); Gil Park et al (2008); Behbahani and M'Closkey (2017); Rourke et al (2001) or to be of the "sinusoidal" form as in Bisegna and Caruso (2007); Joubert et al (2014); Ma and Su (2015); Chaudhuri (2018); Rodrigues et al (2020). Unlike these articles, carried masses of the segmented form (such as that investigated in Park et al (2008)) which are more realistic than the previously mentioned forms are investigated here. Addition of mass on an imperfect axisymmetric structure can also correct frequency split (Fox (1990)).…”

Section: Introductionmentioning

confidence: 99%

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A frequency split trimming technique for axisymmetric shell structures

Anilkumar

George

Sharma

et al. 2022

Journal of Vibration and Control

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Axisymmetric shell structures are characterized by the presence of flexural modes which occur in degenerate pairs. However, since no practically realized structure is perfectly axisymmetric, the frequencies constituting a mode pair become unequal and causes what is commonly termed as “frequency split” between the modes. In applications such as vibratory gyroscopes, it is desired that the frequencies of the working pair of modes be equal. This work proposes an easily implementable (particularly in the industry) technique which reduces frequency split of a target mode pair. To address the frequency split trimming problem, this work investigates a model that describes the planar dynamics of a vibrating ring (which is prototypical to axisymmetric shell structures), with added mass segments. The effects of mass, as well as span, of an added segment on the ring’s natural frequencies and mode shapes are brought out. Novelties of the proposed trimming technique are that it employs added mass in the form of segments and that it has a negligible effect on the axes of the structure’s mode shapes. The technique is extended to general axisymmetric bodies, and it is validated experimentally for the case of a hemispherical resonator.

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Section: Effect Of An Added Mass Segment On the Frequencies Of A Perf...supporting

confidence: 69%

Section: The Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A frequency split trimming technique for axisymmetric shell structures

Anilkumar

George

Sharma

et al. 2022

Journal of Vibration and Control

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“…[7][8][9] Little research has been done on the subject of resonance effect of the bell cavity system. A few studies have been conducted to find the resonance condition.…”

Section: Introductionmentioning

confidence: 99%

Acoustic transmission analysis on cavity resonance sound in a cylindrical cavity system: Application to a Korean bell

Jeong

Kang

Kim

2012

The Journal of the Acoustical Society of America

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This paper presents an analytical model for acoustic transmission characteristics of a cylindrical cavity system representing the acoustic resonance conditions of a Korean bell. The cylindrical cavity system consists of an internal cavity, a gap, an auxiliary cavity, and a rigid base. Since the internal cavity is connected to the external field through a gap, determination of the acoustic transmission characteristics becomes a coupling problem between the internal cavity and external field. The acoustic field of the internal cavity is considered by expanding the solution method of the mixed boundary problem, and the external field is addressed by modifying the radiation impedance model of a finite cylinder. The analytical model is validated by comparison with both experiment and a boundary element method. Using the analytical model, the resonance conditions are determined to maximize the resonance effect. Thus, the resonance frequencies of the bell cavity system are investigated according to the gap size and auxiliary cavity depth. By adjusting gap size or auxiliary cavity depth, the cavity resonance frequency is tuned to resonate partial tones of the bell sound. Finally, the optimal combination of gap size and auxiliary cavity depth is determined.

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“…맥놀이가 강하고 약한가는 진동모드 쌍의 배치와 타격지점인 당좌의 상대적인 위치에 따라 결정된다. 이에 관해서는 선행연구에서 링과 종형 구조물의 맥놀이의 발생 원리[13,14] 를 규명 하였다. 맥놀이지도[15] 를 사용하여 맥놀이의 방사특 성을 파악하기도 하였다.…”

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Vibration and sound of Silla Great Bell

Kim¹,

Lee²,

Byeon³

2017

The Journal of the Acoustical Society of Korea

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Silla Great Bell was manufactured in order to ring for the new millennium in succession to King Seongdeok Divine Bell. This study investigates how Silla Great Bell is similar to King Seongdeok Divine Bell in respect of structure and sound. First, design and manufacturing processes are introduced and dimensions of the two bells are compared and the similarity is estimated. Three main characteristics of the sound of a Korean bell are magnificent and harmonic striking sound, dynamic beat, and long lasting hum tone. These three features are compared and objectively estimated using physical parameters. The purpose of the study is to provide useful information to manufacture Korean bell which has beautiful appearance and excellent sound.

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A study on the mode pair of a slightly asymmetric circular ring with multiple deviations

Cited by 8 publications

References 8 publications

A frequency split trimming technique for axisymmetric shell structures

A frequency split trimming technique for axisymmetric shell structures

Acoustic transmission analysis on cavity resonance sound in a cylindrical cavity system: Application to a Korean bell

Vibration and sound of Silla Great Bell

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