Acoustic Characteristic Analysis of Prestressed Cylindrical Shells in Local Areas

Chen, Luyun; Liu, Yong

doi:10.20855/ijav.2016.21.3424

Cited by 5 publications

(8 citation statements)

References 16 publications

(16 reference statements)

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“…Eq. (16) indicates that the pre-stress in the circumferential direction does not affect the characteristic equation. The integration term can be expressed as = − by using the orthogonality of the trigonometric function.…”

Section: Uniform Pre-stress Distributionmentioning

confidence: 99%

“…Welding residual stress is a common non-uniform distribution pre-stress in engineering design and construction. The traditional solution is no longer suitable to solve non-uniform pre-stress distribution problems [16][17][18]. Moreover, few works have stated the solution for the vibration problem of a circular plate with welding residual stress distribution despite its frequent existence in structure.…”

Section: Introductionmentioning

confidence: 99%

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Vibration characteristic analysis of a circular thin plate with complex pre-stress distribution

Li¹,

Chen²,

Hong³

2018

J. vibroeng.

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The influence of complex pre-stress on the circular thin plate is investigated in this study to solve the non-uniform stress distribution problem. The differential equation of the circular plate with complex pre-stress distribution is derived based on the strain-displacement equation. The analytical method of free vibration for the circular plate with complex pre-stress distribution is proposed, in which the complex pre-stress and displacement function of the circular plate are expanded into the cosine trigonometric series. The influence of the different types of welding residual stress distribution on the natural frequency and the mode shape of the circular plate structure is compared. Finally, the effectiveness of the proposed model is verified through finite element method.

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Section: Uniform Pre-stress Distributionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibration characteristic analysis of a circular thin plate with complex pre-stress distribution

Li¹,

Chen²,

Hong³

2018

J. vibroeng.

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show abstract

“…Using equations (13) to (16), the first and third terms can be simplified into the following expressions…”

Section: Solution Of the Equationmentioning

confidence: 99%

“…Chen et al. 13 applied a variational method to derive the dynamic equation of a cylindrical shell under local stress. Zhang utilized the wave propagation method to analyze submerged and fluid-filled cylinder free vibration characteristics.…”

Section: Introductionmentioning

confidence: 99%

Effects of general structural stress on vibrational power flow

Wang

Yang

Liang

et al. 2018

Journal of Low Frequency Noise, Vibration and Active Control

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Vibrational power flow contains two types of information, namely, vibration velocity and structural internal force, and is an important parameter for measuring vibration level and transmission. Structures are often under stress because of the working environment. This stress changes the vibration velocity and internal force of the structure. As a result, this stress affects the power flow. In practical engineering, structural stress often has a complex distribution. However, earlier studies mainly focused on the overall uniformly distributed stress, which cannot be applied to practical engineering vibration problems. The finite element method can handle this problem, but has several shortcomings, such as the lack of a clear explanation of the essential relationship between structural stress and vibration, the complicated process of applying specific stress, and the large number of calculations. This study considers the effect of general structural stress and determines the dynamic equation of a structure undergoing stress. By utilizing the orthogonality of specific order modes to decouple, we obtain the power flow analytical solution, which can be applied to structures with arbitrary distributed stress. Finally, we calculate and analyze the effect of structural stress on a welding plate. Results show that structural stress has a more significant effect on power flow than velocity and inner force and should be taken into account when considering vibration prediction and reduction in practical engineering.

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“…The traditional methods are no longer suitable to solve the free vibration problems with welding residual stress distribution. 21–23 To the best of the author’s knowledge, few works have investigated the vibration characteristic problem of circular plate with welding residual stress distribution despite its wide existence in engineering design and manufacturing. Thus, it is necessary to analyze the vibration characteristic of the circular plate with non-uniform pre-stress distributions, and the Rayleigh–Ritz method is an effectiveness method to deal with this problem.…”

Section: Introductionmentioning

confidence: 99%

Vibration approximate analytical solutions of circular plate consideration of complex pre-stress distribution

Chen

Hong

2019

Journal of Low Frequency Noise, Vibration and Active Control

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The influence of the complex pre-stress on the circular plate is investigated herein, with which to solve the non-uniform pre-stress distribution problem. According to the strain–stress equation, the motion differential equations of the circular thin plate with complex pre-stress distribution are derived. Based on the Rayleigh–Ritz theory of energy method, the complex pre-stress distribution function and vibration-displacement function are expanded into the cosine trigonometric series, and the approximate analytical solutions of structural free vibration for circular plate are proposed. A circular plate with simply supported boundary condition, for example, the effectiveness of the proposed method is confirmed through numerical calculations and the finite element method verification. The influence of different type’s distribution of welding residual stress on the natural frequency and mode shape for circular plate structure are compared. The proposed approach in present article can be used in arbitrary pre-stress distribution problem.

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Acoustic Characteristic Analysis of Prestressed Cylindrical Shells in Local Areas

Cited by 5 publications

References 16 publications

Vibration characteristic analysis of a circular thin plate with complex pre-stress distribution

Vibration characteristic analysis of a circular thin plate with complex pre-stress distribution

Effects of general structural stress on vibrational power flow

Vibration approximate analytical solutions of circular plate consideration of complex pre-stress distribution

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