Free vibration of functionally graded sandwich plates with stiffeners based on the third-order shear deformation theory

Dat, Pham Tien; Thom, Do Van; Luat, Doan Trac

doi:10.15625/0866-7136/38/2/6730

Cited by 33 publications

(9 citation statements)

References 13 publications

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“…The structure's core layer is composed of metal (designated by m) and ceramic (designated by c), with the corresponding material volume ratios of V m and V c . According to the following power law function [1,[50][51][52][53][54][55], the material ratio of ceramic and metal changes in the depth direction of the core component:…”

Section: Finite Element Formulations Of the Rotating Piezoelectric Fg Beam Based On Reddy High-order Shear Deformation Theorymentioning

confidence: 99%

On the Vibration Analysis of Rotating Piezoelectric Functionally Graded Beams Resting on Elastic Foundation with a Higher-Order Theory

Phuc

Thanh

2022

International Journal of Aerospace Engineering

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This work numerically simulates the natural vibration response of rotating piezoelectric functionally graded (FG) beams resting on two-parameter elastic mediums. This is a common kind of design seen in reality, such as marine engine gas turbine blades, rotating railway bridges, and helicopter rotors, where these components may be thought of as beam models rotating around a fixed axis. For the first time, this study uses the finite element method (FEM) in conjunction with Reddy’s theory of high-order shear deformation to model the vibration response of a beam rotating around one fixed axis. The present theory eliminates the necessity for shear correction factors while precisely describing the structure’s mechanical response. The piezoelectric layers are firmly connected to the top and bottom surfaces of the beam, while the core layer is composed of the FG material, whose material and physical characteristics are expected to gradually change along the thickness direction of the beam in accordance with a power law function as the thickness of the beam is increased. This study is conducted to determine the influences of the structure’s geometric and material characteristics on the beam’s free vibration behavior, including the rotational speed, distance between the fixed axis and beam endpoint, thickness of piezoelectric layers, and elastic foundation parameters, among other things. Due to the obvious calculation results, the free vibration response of this structure can be easily seen by readers, which serves as a foundation for its design and use in engineering practice.

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Section: Finite Element Formulations Of the Rotating Piezoelectric Fg Beam Based On Reddy High-order Shear Deformation Theorymentioning

confidence: 99%

On the Vibration Analysis of Rotating Piezoelectric Functionally Graded Beams Resting on Elastic Foundation with a Higher-Order Theory

Phuc

Thanh

2022

International Journal of Aerospace Engineering

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“…Assume that the beam is made from ceramic (denoted by c) and metal (denoted by m), where their volume proportions (V c and V m ) are changed according to the thickness direction based on the following function [1,2,7,[35][36][37][38][39]:…”

Section: Finite Element Model Of Rotating Fgm Beam In a Thermal Environmentmentioning

confidence: 99%

A Third-Order Shear Deformation Theory for Bending Behaviors of Rotating FGM Beams Resting on Elastic Foundation with Geometrical Imperfections in Thermal Environments

Dang

2021

Mathematical Problems in Engineering

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Beam-shaped components in large mechanical structures such as propellers, gas turbine blades, engine turbines, rotating railway bridges, and so on, when operating, usually engage in rotational movement around the fixed axis. Studying the mechanical behavior of these structures has great significance in engineering practice. Therefore, this paper is the first investigation on the static bending of rotating functionally graded material (FGM) beams with initial geometrical imperfections in thermal environments, where the higher-order shear deformation theory and the finite element method (FEM) are exercised. The material properties of beams are assumed to be varied only in the thickness direction and changed by the temperature effect, which increases the correctness and proximity to technical reality. The numerical results of this work are compared with those of other published papers to evaluate the accuracy of the proposed theory and mechanical model used in this paper. A series of parameter studies is carried out such as geometrical and material properties, especially the rotational speed and temperature, to evaluate their influences on the bending responses of structures.

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“…e beam has dimensions such as the length L, width b, and thickness h, and an initial geometric imperfection in the z-direction is w im (x). e beam structure is made from ceramic (denoted by c) and metal (denoted by m), in which volume proportions (V c and V m ) are varied according to the thickness direction based on the following power law function [1,[36][37][38][39]:…”

Section: Finite Element Model Of the Rotating Fgm Beam In A Thermal Environmentmentioning

confidence: 99%

Free Vibration Investigations of Rotating FG Beams Resting on Elastic Foundation with Initial Geometrical Imperfection in Thermal Environments

Van

2021

Mathematical Problems in Engineering

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In practical operations of mechanical structures, it is not difficult to meet some large components such as helicopter rotors, gas turbine blades of marine engines, and rotating railway bridges, where these elements can be seen as beam models rotating around one fixed axis. Therefore, mechanical explorations of these structures with and without the effect of temperature will guide the design, manufacture, and use of them in practice. This is the first paper that uses the shear deformation theory-type hyperbolic sine functions and the finite element method to analyze the free vibration response of rotating FGM beams with initial geometrical imperfections resting on elastic foundations considering the effect of temperature. The material properties are assumed to be varied in the thickness direction of the beam based on the power law function and temperature changes The proposed theory and mathematical model are verified by comparing the results with other exact solutions. The numerical investigations have taken into account some geometrical and material parameters to evaluate the effects on the vibration behavior of the structure such as the rotational speed, temperature, as well as initial geometrical imperfections. The drawn comments have numerous scientific and practical implications for rotating beam structures.

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Free vibration of functionally graded sandwich plates with stiffeners based on the third-order shear deformation theory

Cited by 33 publications

References 13 publications

On the Vibration Analysis of Rotating Piezoelectric Functionally Graded Beams Resting on Elastic Foundation with a Higher-Order Theory

On the Vibration Analysis of Rotating Piezoelectric Functionally Graded Beams Resting on Elastic Foundation with a Higher-Order Theory

A Third-Order Shear Deformation Theory for Bending Behaviors of Rotating FGM Beams Resting on Elastic Foundation with Geometrical Imperfections in Thermal Environments

Free Vibration Investigations of Rotating FG Beams Resting on Elastic Foundation with Initial Geometrical Imperfection in Thermal Environments

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