Study on Harmonic Analysis of Functionally Graded Plates Using Fem

Sharma, Avadesh K.; Sharma, Prashant; Chauhan, Premanand S.; Bhadoria, Sonam

doi:10.2478/ijame-2018-0053

Cited by 13 publications

(4 citation statements)

References 12 publications

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“…A systematic analysis is repeated, by assuming different input material and geometrical properties in the model, as listed in Tables 3-5, in line with Refs. [17,38], in which the term N* stands for the nondimensional critical buckling load.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Thermomechanical Buckling Analysis of the E&P-FGM Beams Integrated by Nanocomposite Supports Immersed in a Hygrothermal Environment

Khorasani¹,

Lampani²,

Dimitri³

et al. 2021

Molecules

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Due to the widespread use of sandwich structures in many industries and the importance of understanding their mechanical behavior, this paper studies the thermomechanical buckling behavior of sandwich beams with a functionally graded material (FGM) middle layer and two composite external layers. Both composite skins are made of Poly(methyl methacrylate) (PMMA) reinforced by carbon-nano-tubes (CNTs). The properties of the FGM core are predicted through an exponential-law and power-law theory (E&P), whereas an Eshelby–Mori–Tanaka (EMT) formulation is applied to capture the mechanical properties of the external layers. Moreover, different high-order displacement fields are combined with a virtual displacement approach to derive the governing equations of the problem, here solved analytically based on a Navier-type approximation. A parametric study is performed to check for the impact of different core materials and CNT concentrations inside the PMMA on the overall response of beams resting on a Pasternak substrate and subjected to a hygrothermal loading. This means that the sensitivity analysis accounts for different displacement fields, hygrothermal environments, and FGM theories, as a novel aspect of the present work. Our results could be replicated in a computational sense, and could be useful for design purposes in aerospace industries to increase the tolerance of target productions, such as aircraft bodies.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Thermomechanical Buckling Analysis of the E&P-FGM Beams Integrated by Nanocomposite Supports Immersed in a Hygrothermal Environment

Khorasani¹,

Lampani²,

Dimitri³

et al. 2021

Molecules

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“…The combine mass stiffness uncertainty plate (sky blue) major frequency shift is obtained of 64.035Hz with amplitude of 0.14893 mm. Due to linear scale other parameters are not observed in the graph [21,22]. The only stiffness uncertainty is prominently observed [23].…”

Section: Frf Plot Of the Simply Supported Plate On Linear Scalementioning

confidence: 95%

Harmonic Analysis of Simply Supported Square Plate for Uncertain Parameters

Khan

Zakiuddin

Fulzele

2022

J. Phys.: Conf. Ser.

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Many Mechanical structures are manufacture by using plates. However Harmonic Analysis of plate is growing research subject in today’s era. In the present research paper vibrational response of simply supported square plate with uncertain parameters are studied. In designing any real life mechanical system uncertainty phenomenon plays vital role. Thus it becomes important to study the effect of uncertainty for different frequency domain in mechanical system. In present research work square plate as structural element is selected. On this plate mass, stiffness and both collectively mass and stiffness uncertainty are taken. The plate boundary condition selected is simply supported. For determining the plate dynamic response FEM tool is used. While doing harmonic analysis the behavior of all uncertain parameters plates are compare with bare plate. In the FRF plot of plate with stiffness uncertainty, it is found that it has drastic changes in dynamic response. Thus this shows that uncertain parameters have adverse effects and it changes the dynamic behavior of the structure.

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“…Since the plate has many eigenforms and eigenfrequencies of oscillation, in the following we will focus on the first eigenfrequency. Considerable attention is paid to the vibration analysis of simple plates in scientific works [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Approximate calculation of natural frequencies of oscillations of the diamond-shaped plates of the discrete-continuous inter-resonance vibrating table

Lanets

Maistruk

Derevenko

et al. 2023

IOP Conf. Ser.: Mater. Sci. Eng.

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Conventional single- and two-mass vibrating machines do not have a sufficient level of energy efficiency. There are vibration machines based on inter-resonance oscillating systems, which make possible the significant reduction in the use of electricity. To implement highly effective inter-resonance operation modes of vibrating machines, the oscillating masses of such a system must precisely calculate values of inertial-rigid parameters, as well as their frequency of oscillations. Since the synthesis of continuous sections into classical discrete models of multi-mass mechanical oscillating systems has recently become widespread, the most optimal option is to use a continuous member as a reactive mass of a vibrating machine. The continuous member combines inertial and stiffness parameters and makes it extremely easy to perform the reactive mass. In particular, rectangular plates are used as continuous members. The rectangular shape of the plate is not the only option for making a continuous member. This paper proposes the construction of a discrete-continuous inter-resonance vibration machine with electromagnets, where a diamond-shaped plate is used as a continuous member. The authors carried out the computation of the first natural frequency of the diamond-shaped plate using the Rayleigh-Ritz method with the equation of the hyperboloid. The determined eigenfrequency was confirmed in the Ansys software.

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Study on Harmonic Analysis of Functionally Graded Plates Using Fem

Cited by 13 publications

References 12 publications

Thermomechanical Buckling Analysis of the E&P-FGM Beams Integrated by Nanocomposite Supports Immersed in a Hygrothermal Environment

Thermomechanical Buckling Analysis of the E&P-FGM Beams Integrated by Nanocomposite Supports Immersed in a Hygrothermal Environment

Harmonic Analysis of Simply Supported Square Plate for Uncertain Parameters

Approximate calculation of natural frequencies of oscillations of the diamond-shaped plates of the discrete-continuous inter-resonance vibrating table

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