Free vibration analysis of stiffened panels with lumped mass and stiffness attachments

Cho, Dae‐Seung; Kim, Byung Hee; Kim, Jin Hyeong; Choi, Tae Muk; Vladimir, Nikola

doi:10.1016/j.oceaneng.2016.07.055

Cited by 25 publications

(8 citation statements)

References 19 publications

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“…We aim to find an asymptotic dispersion relation over the domain H 6 y 6 ' by using the derived effective boundary conditions (19) together with the equation of motion (1). The solution is sought in the form of a travelling harmonic wave (6). As a result, we deduce an approximate dispersion relation, which could be rewritten in dimensionless variables as…”

Section: Approximate Dispersion Relationmentioning

confidence: 99%

“…In spite of numerous contributions analysing their dynamic behaviour, e.g. see Cho et al [6], Morshedsolouk and Khedmati [7], Qing et al [8], Wang et al [9] and Xin [10], the bending wave localised near a reinforced plate edge has not yet been investigated. Such waves have been studied in great detail for a homogeneous plate with a traction-free edge, beginning with Konenkov [11]; see also the review articles of Lawrie and Kaplunov [12] and Norris et al [13], along with more recent publications [14,15] dealing with an elastically supported plate, as well as studies developing asymptotic parabolic-elliptic models [16,17].…”

Section: Introductionmentioning

confidence: 99%

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Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate

Alzaidi

Kaplunov

Prikazchikova

2019

Mathematics and Mechanics of Solids

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Elastic waves localised near the edge of a semi-infinite plate reinforced by a strip plate are considered within the framework of the 2D classical theory for plate bending. The boundary value problem for the strip plate is subject to asymptotic analysis, assuming that a typical wavelength is much greater than the strip thickness. As a result, effective conditions along the interface corresponding to a plate reinforced by a beam with a narrow rectangular cross-section are established. They support an approximate dispersion relation perturbing that for a homogeneous plate with a free edge. The accuracy of the approximate dispersion relation is tested by comparison with the numerical data obtained from the ‘exact’ matrix relation for a composite plate. The effect of the problem parameters on the localisation rate is studied.

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Section: Approximate Dispersion Relationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate

Alzaidi

Kaplunov

Prikazchikova

2019

Mathematics and Mechanics of Solids

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“…Wang has studied simplified models of two-dimensional and three-dimensional phononic crystals [ 32 ], and the results show that the base and local oscillators can be simplified into one-dimensional periodic oscillator coupled beam, which is a periodic spring-mass oscillator coupled homogeneous straight damping beam combined system. Cho et al [ 33 ] investigated free vibration numerical analysis of one-dimensional stiffened plates with multiple lumped mass and stiffness attachments. Zhou et al [ 34 ] investigated the flexural wave propagation characteristics in the one-dimensional periodically stiffened plate, and the results showed that one-dimensional periodically stiffened plate could yield complete band gaps.…”

Section: Introductionmentioning

confidence: 99%

Band Gaps Characteristics Analysis of Periodic Oscillator Coupled Damping Beam

Tang

Yao

et al. 2020

Materials

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The vibration of the periodic oscillator coupled damping beam model is reduced through the band gaps designing method, which can be applied in equivalent engineering structures. In this paper, the flexural wave dispersion relations of the infinite long periodic oscillator coupled damping beam were calculated using the reverberation-ray matrix method combined with the Bloch theorem. The flexural wave vibration frequency response function of the finite long periodic oscillator coupled damping beam was carried out using the finite element method. The flexural wave vibration band gaps occur in the infinite long periodic oscillator coupled damping beam model in both the analytical and numerical results. In these band gaps, flexural waves’ propagation is prohibited, and flexural vibration is significantly suppressed. Furthermore, the effects of structure and material parameters on the flexural wave vibration band gaps characteristics are studied. Thus, the structural vibration reduction design can be realized by adjusting the related parameters of the periodic coupled damping beam structures and the equivalent 2D periodic stiffened plate structures.

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“…[19], Cho et al. [20], Cetkin and Orak [21], Shariyat and Roshanfar [22], Gharaibeh and Obeidat [23].…”

Section: Introductionmentioning

confidence: 99%

Fundamental frequency of a corner-supported rectangular sandwich plate with the central lumped mass

Лопатин

Морозов

2020

Jnl of Sandwich Structures & Materials

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An efficient method of calculation of the fundamental frequency of a corner-supported composite sandwich plate having a lumped mass at its centre is proposed in this work. The corresponding dynamic problem is solved using the Hamilton principle and the Rayleigh-Ritz method. The panel is modelled using the first order shear deformation theory. The panel deflection and angles of rotation are approximated based on certain combinations of trigonometry functions. Application of the Rayleigh-Ritz method allowed the original system of equations to be reduced to a homogeneous system of linear algebraic equations of the seventh order with respect to unknown coefficients of approximating functions. The fundamental frequency is found as a minimum eigenvalue of this system. Using this solution, the effects of the geometric parameters of the panel and the value of lumped mass were investigated. The results of the calculations were successfully verified by comparisons with the outcomes of the finite-element computations. The efficiency of the proposed methodology was demonstrated in the design analysis of the corner-supported composite sandwich panel with the central lumped mass subject to a constraint imposed on the value of fundamental frequency.

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Free vibration analysis of stiffened panels with lumped mass and stiffness attachments

Cited by 25 publications

References 19 publications

Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate

Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate

Band Gaps Characteristics Analysis of Periodic Oscillator Coupled Damping Beam

Fundamental frequency of a corner-supported rectangular sandwich plate with the central lumped mass

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