Vibration analysis of rotating pre-twisted blades

Yoo, Hong Hee; Park, Jung Hun; Park, Jang-Hyun

doi:10.1016/s0045-7949(01)00110-9

Cited by 67 publications

(38 citation statements)

References 12 publications

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“…최근에는 Yoo가 제시 한 방법을 사용하여 다양한 형상을 갖는 외팔보에 관한 연구가 이루어져 왔다. 그 중에는 집중질량을 가지는 외팔보 (9) , 초기 비틀림 각을 가지는 외팔보 (10) , 단편 테이퍼를 가지는 멀티 패킷 블레이드 시스 템 (11) …”

Section: 서 론unclassified

Vibration Analysis of a Rotating Blade Considering Pre-twist Angle, Cross Section Taper and a Concentrated Mass

Kim¹,

Yoo

2013

Transactions of the Korean Society for Noise and Vibration Engi

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Equations of motion of a rotating blade considering pre-twist angle, cross section taper and a concentrated mass are derived using the hybrid deformation variable modeling method. For the modeling of a concentrated mass which is located at an arbitrary position of the blade, a Dirac delta function is employed for the mass density function. The final equations for the vibration analysis are transformed into a dimensionless form using several dimensionless parameters. The effects of the dimensionless parameters on the vibration characteristics of the rotating blade are investigated through numerical analysis. . 이후 Kane은 외팔보의 운동방정식 유도를 위한 새로운 방법을 제시하였고

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Section: 서 론unclassified

Vibration Analysis of a Rotating Blade Considering Pre-twist Angle, Cross Section Taper and a Concentrated Mass

Kim¹,

Yoo

2013

Transactions of the Korean Society for Noise and Vibration Engi

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“…For this transformation, several dimensionless variables and parameters are defined as follows [44]:…”

Section: Dimensionless Transformationmentioning

confidence: 99%

“…In the present study, free vibration of a rotating, double-tapered, cantilever Timoshenko beam that undergoes flapwise transverse vibration is investigated using the hybrid deformation variables introduced in Kane et al [42] and in Yoo et al [11,43,44]. The combined effect of angular speed, hub radius, slenderness ratio, shear/extension modulus ratio, and the height and width taper ratios on the modal characteristics of a rotating Timoshenko beam is successfully investigated in this study.…”

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confidence: 98%

Free flapewise vibration analysis of rotating double-tapered Timoshenko beams

Zhu

2011

Arch Appl Mech

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Free vibration analysis of a rotating double-tapered Timoshenko beam undergoing flapwise transverse vibration is presented. Using an assumed mode method, the governing equations of motion are derived from the kinetic and potential energy expressions which are derived from a set of hybrid deformation variables. These equations of motion are then transformed into dimensionless forms using a set of dimensionless parameters, such as the hub radius ratio, the dimensionless angular speed ratio, the slenderness ratio, and the height and width taper ratios, etc. The natural frequencies and mode shapes are then determined from these dimensionless equations of motion. The effects of the dimensionless parameters on the natural frequencies and modal characteristics of a rotating double-tapered Timoshenko beam are numerically studied through numerical examples. The tuned angular speed of the rotating double-tapered Timoshenko beam is then investigated. IntroductionThe modal characteristics, i.e., the natural frequencies and the corresponding mode shapes, of rotating beams, especially tapered ones, are critical to the design and analysis of rotating structures, such as the rotating machinery, helicopter blades, wind turbine blades, etc., since most rotating beams in engineering applications are tapered. The modal characteristics of rotating beams often vary significantly from those of non-rotating beams due to the influence of centrifugal inertia force. Due to this significant variation of modal characteristics resulted from rotation, the modal characteristic of rotating beams has been widely investigated.Study of the modal characteristics of rotating beams originated from the pioneering work of Southwell and Gough [1]. Based on the Rayleigh energy theorem, an equation, known as the Southwell equation, that relates the natural frequency to the rotating frequency of a uniform beam was developed. This study was further extended by Liebers [2], Theodorsen [3] and Schilhansl [4], to obtain more accurate natural frequencies of rotating beams. However, due to the large amount of calculation and lack of computational devices, the mode shapes were not available in these investigations. Later, using digital computers, investigations in mode shapes and more accurate natural frequencies were published for uniform rotating and non-rotating beams [5][6][7][8][9][10][11][12][13].The modal characteristics of rotating and non-rotating tapered beams have also been widely investigated. Hodges and Dowell [14] derived the non-linear equations of motion of twisted non-uniform rotor blades based on the Hamilton's Principle and the Newtonian method. Klein [15] analyzed the vibration of a non-rotating tapered beam with a method which combined the advantages of a finite element approach and of a RayleighRitz analysis. Downs [16] applied a dynamic discretization technique to calculate the natural frequencies of a

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“…The free vibration analysis of rotating rectangular plates has been studied by Wang et al 3 Yoo et al derived the equation of motion for the vibration analysis of a rotating pre-twisted blades. 4 They have used a modelling method that employs hybrid deformation variables. The linear equations of motion for the flap wise bending vibration analysis of rotating plates was developed by Yoo and Kim.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Rotating Plates in High Thermal Environments Using the Finite Element Method

Ramu¹,

Mohanty²

2017

IJAV

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The aim of the work is to study the vibration characteristics of rotating functionally graded material (FGM) plates using the finite element method. The mechanical properties of the ordinary and temperature dependent FGM plates are assumed to be varying in the thickness direction according to a power law distribution in terms of the volume fractions of the constituents. The temperature field is ascertained using a nonlinear distribution in the thickness direction only. The present method results are compared with numerical results available in the literature. The frequency characteristics of the rotating ordinary FGM and temperature dependent FGM plates are examined. The effect of parameters such as hub radius, rotating speed, temperature change, and power law index value on the natural frequencies of rotating FGM plates are investigated through this study. The plots reveal that the temperature field, rotational speed, and the gradient index in the material properties have a significant effect on the vibration characteristics of the rotating ordinary FGM and temperature dependent FGM plates.

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Vibration analysis of rotating pre-twisted blades

Cited by 67 publications

References 12 publications

Vibration Analysis of a Rotating Blade Considering Pre-twist Angle, Cross Section Taper and a Concentrated Mass

Vibration Analysis of a Rotating Blade Considering Pre-twist Angle, Cross Section Taper and a Concentrated Mass

Free flapewise vibration analysis of rotating double-tapered Timoshenko beams

Free Vibration Analysis of Rotating Plates in High Thermal Environments Using the Finite Element Method

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