Parametric instability analysis of laminated composite plate subject to various types of non-uniform periodic in-plane edge load

Adhikari, Balakrishna; Singh, B.N.

doi:10.1016/j.amc.2019.125026

Cited by 15 publications

(5 citation statements)

References 27 publications

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“…To validate the present approach in terms of dynamic instability, a comparison is presented with the results reported by Adhikari and Singh (2020). Specifically, a simply supported laminated composite plate (a/b=1, 0/90/0) under parabolic in-plane loading is considered, and the influence of a/h ratio on the width of the dynamic instability region (DIR) is assessed.…”

Section: Dynamic Instability and Nonlinear Vibrationmentioning

confidence: 99%

Nonlinear vibration and instability of a randomly distributed CNT-reinforced composite plate subjected to localized in-plane parametric excitation

Singh

Vescovini

Kumar

et al. 2022

Applied Mathematical Modelling

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Section: Dynamic Instability and Nonlinear Vibrationmentioning

confidence: 99%

Nonlinear vibration and instability of a randomly distributed CNT-reinforced composite plate subjected to localized in-plane parametric excitation

Singh

Vescovini

Kumar

et al. 2022

Applied Mathematical Modelling

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“…Kumar et al [27] examined the influence of obliqueness in the strike angle and angular distortion in the sheet shape on the low-velocity collision behaviors of sandwich plates with laminate face layers. Adhikari and Singh [28] analyzed the vibration responses of the layered sheet with varying edge loads. An analytical method was developed by Chanda and Sahoo [29] for the flexural study of sandwiched plates and multilayered sheets.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Laminated Composite Porous Plate under Sinusoidal Load with Various Boundary Conditions

Kumar,

Andrzejuk

et al. 2024

Materials

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Bending analysis was carried out for a laminated composite porous plate due to sinusoidal loading with various boundary conditions using improved third-order theory. Zero transverse shear stress provided a free surface at the top and bottom of the plate. Also, the authors developed a finite element formulation based on improved third-order shear deformation theory. To circumvent the C1 continuity requirement associated with improved third-order shear deformation theory, a C0 FE formulation was developed by replacing the out-of-plane derivatives with independent field variables. An in-house FORTRAN code was developed for the bending analysis of the laminated porous plate considering a 2D finite element model. The complete thickness of the plate was covered with different porosity patterns. The impacts of various modulus ratios, boundary conditions, thickness ratios, fiber orientation angles, and material parameters were examined for laminated porous plates. There was an 18.8% reduction in deflection in the case of the square plate as compared to rectangular plates, with a porosity value of 0.1, a thickness ratio of 10, and an orientation angle of 0°/90°/0°. According to the current research, adding porosities causes a relatively greater change in deflection rather than stress, thereby aiding in the development of a lightweight structure.

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“…Исследовали влияние разных геометрических параметров, типов нагружения и граничных условий. С помощью полиномиальной теории пластин высокого порядка в [17] исследовали динамическую неустойчивость композитных пластин при периодических нагрузках с разными неоднородными распределениями. Уравнения типа Матье решили методом Болотина для определения областей динамической неустойчивости.…”

Section: Introductionunclassified

Исследование Неустойчивости Параметрических Колебаний Композитных Пластин При Произвольных Пульсирующих Нагрузках На Основе Теорий Пластин Высокого Порядка

Чен¹,

Ван²,

Као³

et al. 2022

mkm

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Неустойчивость композитных пластин, подверженных произвольной периодической динамической нагрузке, исследована с помощью теории сдвигового деформирования высокого порядка. Дифференциальные уравнения движения типа Матье получены с применением принципа Гамильтона и метода Галеркина. С помощью метода Болотина оценили частоты возбуждения композитных пластин для определения их области неустойчивости и индекса динамической неустойчивости. Игнорируя члены высокого порядка поля перемещений, систему определяющих уравнений пластин можно упростить до теории первого порядка. Результаты динамической неустойчивости композитных пластин, определенные с помощью предложенной теории, сравнили с рассчитанными по теории пластин первого порядка. Анализ показал, что члены высокого порядка оказывают существенное влияние на динамическую неустойчивость композитных пластин.

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Parametric instability analysis of laminated composite plate subject to various types of non-uniform periodic in-plane edge load

Cited by 15 publications

References 27 publications

Nonlinear vibration and instability of a randomly distributed CNT-reinforced composite plate subjected to localized in-plane parametric excitation

Nonlinear vibration and instability of a randomly distributed CNT-reinforced composite plate subjected to localized in-plane parametric excitation

Analysis of Laminated Composite Porous Plate under Sinusoidal Load with Various Boundary Conditions

Исследование Неустойчивости Параметрических Колебаний Композитных Пластин При Произвольных Пульсирующих Нагрузках На Основе Теорий Пластин Высокого Порядка

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