2018
DOI: 10.1016/j.engstruct.2017.12.032
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Free and forced vibration analysis of arbitrarily supported rectangular plate systems with attachments and openings

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Cited by 22 publications
(8 citation statements)
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“…Currently, research has mainly focused on three aspects: the region segmentation, the equivalent substitution, and the separation of cutouts and plate domains. Then, to examine the vibration characteristics of the rectangular plate with cutouts, semi-analytical methods generally used are the Rayleigh-Ritz methods (RRM) [2,13,14], the multi-term extended Kantorovich method (MEKM) [15], the extension of Hencky bar-net method [16], Chebyshev-Lagrangian method [17], the Green function method [18], the superposition method, the assumed mode method [19,20], the improved Fourier series method [21,22], the Dynamic Stiffness Method (DSM) [23], and the Spectro-Geometric Method (SGM) [24].…”
Section: Introductionmentioning
confidence: 99%
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“…Currently, research has mainly focused on three aspects: the region segmentation, the equivalent substitution, and the separation of cutouts and plate domains. Then, to examine the vibration characteristics of the rectangular plate with cutouts, semi-analytical methods generally used are the Rayleigh-Ritz methods (RRM) [2,13,14], the multi-term extended Kantorovich method (MEKM) [15], the extension of Hencky bar-net method [16], Chebyshev-Lagrangian method [17], the Green function method [18], the superposition method, the assumed mode method [19,20], the improved Fourier series method [21,22], the Dynamic Stiffness Method (DSM) [23], and the Spectro-Geometric Method (SGM) [24].…”
Section: Introductionmentioning
confidence: 99%
“…Additional research focused on the separation of cutouts and plate domains by removing the effect of the hole domain from the total energies of the whole plate. Cho et al [19,20] applied the assumed mode method to analyze vibration characteristics of rectangular plate structures with holes and attachments. In these investigations, holes, plates, stiffeners and structures were considered as independent energy elements upon which the Lagrange's equation and modal superposition method were applied to obtain the vibration response of rectangular plate structures.…”
Section: Introductionmentioning
confidence: 99%
“…Cho et al 14 employed mode method in Langrage’s equation to find the modal responses of rectangular plates and stiffened panels under forced vibration. Cho et al 15 used modal superposition method and observed the responses of rectangular plates with different types of attachments. Zhen and Wanji 16 applied zig-zag higher order theory for free and forced vibration analysis of laminated composite beams.…”
Section: Introductionmentioning
confidence: 99%
“…Mohamed et al [25] used a new numerical method to study the effects of axial loads, imperfections, and nonlinear elastic foundations on the natural frequencies and forced vibration characteristics of beams. Cho et al [26] studied the vibration of rectangular plates with circular holes and stiffeners mounted on elastic devices by using the energy-based assumed mode method.…”
Section: Introductionmentioning
confidence: 99%