Vibration and stability of rotating annular disks composed of different materials

Maretic, Ratko; Glavardanov, V.B.; Milošević-Mitić, Vesna

doi:10.1007/s00419-014-0903-5

Cited by 6 publications

(3 citation statements)

References 20 publications

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“…Yang et al [7] developed a thermal stress stiffening method to investigate the vibration behavior of spinning flexible disks. Maretic et al [8] proposed vibrations of spinning annular plate with two different materials. By adopting the experimental method, Kang et al [9] studied the vibration characteristics of spinning disk in an air-filled enclosure.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Spinning Sandwich Annular Plates with Functionally Graded Graphene Nanoplatelet Reinforced Porous Core

Huang

Zhao

et al. 2022

Materials

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This paper conducted the free vibration analysis of a sandwich annular thin plate with whirl motion. The upper and lower faces of the annular plate are made of uniform solid metal, while its core is porous foamed metal reinforced by graphene nanoplatelets (GPLs). Both uniform and non-uniform distributions of GPLs and porosity along the direction of plate thickness which leads to a functionally graded (FG) core are taken into account. The effective material properties including Young’s modulus, Poisson’s ratio and mass density are calculated by employing the Halpin–Tsai model and the rule of mixture, respectively. Based on the Kirchhoff plate theory, the differential equations of motion are derived by applying the Lagrange’s equation. Then, the assumed mode method is utilized to obtain free vibration behaviors of the sandwich annular plate. The finite element method is adopted to verify the present model and vibration analysis. The effects of porosity coefficient, porosity distribution, graphene nanoplatelet (GPL) distribution, graphene nanoplatelet (GPL) weight fraction, graphene nanoplatelet length-to-thickness ratio (GPL-LTR), graphene nanoplatelet length-to-width ratio (GPL-LWR), spinning speed, outer radius-to-thickness ratio and inner radius-to-thickness ratio of the plate, are examined in detail.

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Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Spinning Sandwich Annular Plates with Functionally Graded Graphene Nanoplatelet Reinforced Porous Core

Huang

Zhao

et al. 2022

Materials

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“…The majority of the analytical research, that concentrates on obtaining natural frequencies and mode shapes, uses Rayleigh-Ritz (Southwell 1922, Mote 1965, Ramaiah 1981, Koo 2006, Kang 2017 and Galerkin methods (Luo andMote 2000, Pei andTan 2009), perturbation techniques (Mignolet et al 1996), the method of multiple scales (Nayfeh et al 2001), the Frobenius method (Maretic et al 2015). Most of the recent studies on the topic are focused on functionally graded materials (FGMs) (Güven andÇelik 2001, Yıldırım 2018).…”

Section: Introductionmentioning

confidence: 99%

Analysis of the dynamical behaviour of spinning annular disks with various boundary conditions

Koç

Genel

Tüfekçi

et al. 2021

Mechanics Based Design of Structures and Machines

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This study investigates the vibration characteristics of spinning annular disks with various boundary conditions aiming to investigate the effect of radius ratio parameter and the rotation speed on natural frequencies of a spinning disk analytically for nine different types of boundary conditions. The stress distributions on the disks are obtained for all boundary conditions. The Galerkin method is employed with polynomial functions as approximate displacement functions. Analytical results are presented and compared to the results of the finite element analyses as well as experimental ones.

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“…With the development of science and technology, rotating plates and electromagnetic structures have been more and more widely used in different fields of industry. The rotating velocity in some instances may has significant influence on the work of rotating plates [1] . Therefore, it is important to analyze the response of the plates.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear resonance of the rotating circular plate under static loads in magnetic field

Wang

2015

Chin. J. Mech. Eng.

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The rotating circular plate is widely used in mechanical engineering, meanwhile the plates are often in the electromagnetic field in modern industry with complex loads. In order to study the resonance of a rotating circular plate under static loads in magnetic field, the nonlinear vibration equation about the spinning circular plate is derived according to Hamilton principle. The algebraic expression of the initial deflection and the magneto elastic forced disturbance differential equation are obtained through the application of Galerkin integral method. By mean of modified Multiple scale method, the strongly nonlinear amplitude-frequency response equation in steady state is established. The amplitude frequency characteristic curve and the relationship curve of amplitude changing with the static loads and the excitation force of the plate are obtained according to the numerical calculation. The influence of magnetic induction intensity, the speed of rotation and the static loads on the amplitude and the nonlinear characteristics of the spinning plate are analyzed. The proposed research provides the theory reference for the research of nonlinear resonance of rotating plates in engineering.

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Vibration and stability of rotating annular disks composed of different materials

Cited by 6 publications

References 20 publications

Free Vibration Analysis of Spinning Sandwich Annular Plates with Functionally Graded Graphene Nanoplatelet Reinforced Porous Core

Free Vibration Analysis of Spinning Sandwich Annular Plates with Functionally Graded Graphene Nanoplatelet Reinforced Porous Core

Analysis of the dynamical behaviour of spinning annular disks with various boundary conditions

Nonlinear resonance of the rotating circular plate under static loads in magnetic field

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