A three-dimensional periodic beam for vibroacoustic isolation purposes

Żak, Arkadiusz; Krawczuk, Marek; Redlarski, Grzegorz; Doliński, Łukasz; Kozieł, Sławomir

doi:10.1016/j.ymssp.2019.05.033

Cited by 7 publications

(2 citation statements)

References 12 publications

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“…Compared with the guided waves in an infinite plate, an additional pair of surfaces in a rectangular beam introduces more boundary reflections of coupled longitudinal and shear waves, making the formation of guided modes more complicated. The crosswise superposition method [10], collocation method [11], approximate theory [12], finite element method [13], and spectral finite element method [14][15][16] have been applied to study the propagation of guided waves, though not all of them work well for all types of modes in a rectangular beam with arbitrary aspect ratios over a wide frequency range.…”

Section: Introductionmentioning

confidence: 99%

Nearly Perfect Transmission of Lamé Modes in a Rectangular Beam with Part and Through-Thickness Vertical Cracks

Cao

Shao

et al. 2023

Materials

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The guided waves in the uniform waveguide of rectangular cross-section exhibit complicated propagation and scattering characteristics due to the diversity of vibration modes. This paper focuses on the mode conversion of the lowest Lamé mode at a part-through or through-thickness crack. Firstly, the Floquet periodicity boundary condition is applied to derive the dispersion curves in the rectangular beam, which relates the axial wavenumber to the frequency. On this basis, the frequency domain analysis is conducted to investigate the interaction between the fundamental longitudinal mode in the vicinity of the first Lamé frequency and a part-through or through-thickness vertical or inclined crack. Finally, the nearly perfect transmission frequency is evaluated by extracting displacement and stress harmonic fields throughout the cross-section. It is shown that this frequency originates from the first Lamé frequency, increases with the crack depth, and decreases with the crack width. Between them, the crack depth plays a major role in the frequency variation. In addition, the nearly perfect transmission frequency is negligibly affected by the beam thickness, and such a phenomenon is not observed for inclined cracks. The nearly perfect transmission may have potential applications in the quantitative evaluation of crack size.

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Section: Introductionmentioning

confidence: 99%

Nearly Perfect Transmission of Lamé Modes in a Rectangular Beam with Part and Through-Thickness Vertical Cracks

Cao

Shao

et al. 2023

Materials

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“…The growing use of electronic systems in power receivers decreases energy consumption in numerous production processes [1][2][3][4], but also creates new risks. The associated dangers include higher harmonic components that lead to the unnecessary activation of protective devices, such as residual-current protection devices [5][6][7], harmonic components that disrupt the operation of automatic synchronizers [8], as well as harmonic components that occur in non-stationary signals in various interdisciplinary applications, for example related to acoustics [9], electric vehicles [10], or even seemingly distant biomedical engineering [11,12].…”

Section: Introductionmentioning

confidence: 99%

Selection of C-Type Filters for Reactive Power Compensation and Filtration of Higher Harmonics Injected into the Transmission System by Arc Furnaces

Lange

Redlarski

2020

Energies

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This article presents a method for selecting the elements of a C-type filter working with a conventional LC-type filter for compensating reactive power and filtering out higher harmonics generated by arc furnaces and ladle furnaces. The study was conducted in a steel mill supplied by a 110 kV transmission system, where higher harmonic currents and nonlinear loads were measured. A series of computer simulations were performed under various operating conditions, and an algorithm for selecting the parameters of a third-order C-type filter (for suppressing the second harmonic) and two second-order LC-type filters (for suppressing the third harmonic) was proposed. The filtering system was tested in an arc furnace with the highest rated power, and harmonics in the current spectrum were evaluated. The results of the measurements were used to analyze the effectiveness of the compensation system comprising two passive C-type and LC-type filters at different system configurations. C-type filters significantly influenced current harmonics. The influence of the changes in the number of arc furnace transformers on the true Root Mean Square (RMS) of the currents injected into the 110 kV transmission system and on the voltages of the 110 kV busbars was discussed.

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Simplified Theories of 1-D Structural Elements

Żak

2024

Lecture Notes on Numerical Methods in Engineering and Sciences

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A three-dimensional periodic beam for vibroacoustic isolation purposes

Cited by 7 publications

References 12 publications

Nearly Perfect Transmission of Lamé Modes in a Rectangular Beam with Part and Through-Thickness Vertical Cracks

Nearly Perfect Transmission of Lamé Modes in a Rectangular Beam with Part and Through-Thickness Vertical Cracks

Selection of C-Type Filters for Reactive Power Compensation and Filtration of Higher Harmonics Injected into the Transmission System by Arc Furnaces

Simplified Theories of 1-D Structural Elements

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